Chaos Solitons & Fractals

Article	Citations
Analysis and forecast of COVID-19 spreading in China, Italy and France	709
Time series forecasting of COVID-19 transmission in Canada using LSTM networks	671
A new study on the mathematical modelling of human liver with Caputo–Fabrizio fractional derivative	550
Applications of machine learning and artificial intelligence for Covid-19 (SARS-CoV-2) pandemic: A review	543
A SIR model assumption for the spread of COVID-19 in different communities	464
Application of deep learning for fast detection of COVID-19 in X-Rays using nCOVnet	429
Predictions for COVID-19 with deep learning models of LSTM, GRU and Bi-LSTM	427
Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan	426
Modelling the spread of COVID-19 with new fractal-fractional operators: Can the lockdown save mankind before vaccination?	384
Modeling and forecasting the COVID-19 pandemic in India	330
Short-term forecasting COVID-19 cumulative confirmed cases: Perspectives for Brazil	327
Deep learning methods for forecasting COVID-19 time-Series data: A Comparative study	321
A deep learning and grad-CAM based color visualization approach for fast detection of COVID-19 cases using chest X-ray and CT-Scan images	303
Recognition of COVID-19 disease from X-ray images by hybrid model consisting of 2D curvelet transform, chaotic salp swarm algorithm and deep learning technique	284
CoroDet: A deep learning based classification for COVID-19 detection using chest X-ray images	278
COVID-ABS: An agent-based model of COVID-19 epidemic to simulate health and economic effects of social distancing interventions	278
Real-time forecasts and risk assessment of novel coronavirus (COVID-19) cases: A data-driven analysis	275
A theoretical study of the Caputo–Fabrizio fractional modeling for hearing loss due to Mumps virus with optimal control	270
A model based study on the dynamics of COVID-19: Prediction and control	265
Prediction and analysis of COVID-19 positive cases using deep learning models: A descriptive case study of India	246
A mathematical model for COVID-19 transmission by using the Caputo fractional derivative	242
Convolutional capsnet: A novel artificial neural network approach to detect COVID-19 disease from X-ray images using capsule networks	238
Stability analysis and numerical simulation of SEIR model for pandemic COVID-19 spread in Indonesia	229
Chaotic behaviour of fractional predator-prey dynamical system	222
Prediction of epidemic trends in COVID-19 with logistic model and machine learning technics	216

Comparison of deep learning approaches to predict COVID-19 infection	208
A mathematical model for COVID-19 transmission dynamics with a case study of India	191
Time series forecasting of Covid-19 using deep learning models: India-USA comparative case study	186
Diagnosis and detection of infected tissue of COVID-19 patients based on lung x-ray image using convolutional neural network approaches	178
A new study of unreported cases of 2019-nCOV epidemic outbreaks	172
Comparative analysis and forecasting of COVID-19 cases in various European countries with ARIMA, NARNN and LSTM approaches	171
Modeling and forecasting of epidemic spreading: The case of Covid-19 and beyond	169
Modeling the impact of non-pharmaceutical interventions on the dynamics of novel coronavirus with optimal control analysis with a case study	157
A new adaptive synchronization and hyperchaos control of a biological snap oscillator	154
Analysis of a mathematical model for COVID-19 population dynamics in Lagos, Nigeria	153
CVDNet: A novel deep learning architecture for detection of coronavirus (Covid-19) from chest x-ray images	147
Association between weather data and COVID-19 pandemic predicting mortality rate: Machine learning approaches	146
A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment	145
Analytical mathematical approaches for the double-chain model of DNA by a novel computational technique	143
On a comprehensive model of the novel coronavirus (COVID-19) under Mittag-Leffler derivative	143
Estimation of COVID-19 dynamics “on a back-of-envelope”: Does the simplest SIR model provide quantitative parameters and predictions?	140
Assessment of lockdown effect in some states and overall India: A predictive mathematical study on COVID-19 outbreak	140
New concept in calculus: Piecewise differential and integral operators	140
Time Series Analysis and Forecast of the COVID-19 Pandemic in India using Genetic Programming	140
Global stability and cost-effectiveness analysis of COVID-19 considering the impact of the environment: using data from Ghana	138
Chaotic dynamics of a fractional order HIV-1 model involving AIDS-related cancer cells	135
Novel trial functions and rogue waves of generalized breaking soliton equation via bilinear neural network method	134
The impact of COVID-19 pandemic upon stability and sequential irregularity of equity and cryptocurrency markets	133
Fractional order mathematical modeling of COVID-19 transmission	131
Role of intelligent computing in COVID-19 prognosis: A state-of-the-art review	131
Global dynamics of a fractional order model for the transmission of HIV epidemic with optimal control	129
A discrete memristor model and its application in Hénon map	128
Statistical analysis of forecasting COVID-19 for upcoming month in Pakistan	127
Semi-analytical study of Pine Wilt Disease model with convex rate under Caputo–Febrizio fractional order derivative	126
Predicting turning point, duration and attack rate of COVID-19 outbreaks in major Western countries	125
Applications of artificial intelligence in battling against covid-19: A literature review	120
Analysis on novel coronavirus (COVID-19) using machine learning methods	117
A fractional-order chaotic system with hidden attractor and self-excited attractor and its DSP implementation	116
Neural network powered COVID-19 spread forecasting model	116
Analysis of Spatial Spread Relationships of Coronavirus (COVID-19) Pandemic in the World using Self Organizing Maps	115
A python based support vector regression model for prediction of COVID19 cases in India	113
Time series prediction for the epidemic trends of COVID-19 using the improved LSTM deep learning method: Case studies in Russia, Peru and Iran	110
Mathematical analysis of a fractional differential model of HBV infection with antibody immune response	110
Spatio-temporal estimation of the daily cases of COVID-19 in worldwide using random forest machine learning algorithm	110
Robustness of LSTM neural networks for multi-step forecasting of chaotic time series	110
The effect of market confidence on a financial system from the perspective of fractional calculus: Numerical investigation and circuit realization	108
Double image encryption algorithm based on neural network and chaos	108
SIR epidemic model with Mittag–Leffler fractional derivative	107
Shallow water in an open sea or a wide channel: Auto- and non-auto-Bäcklund transformations with solitons for a generalized (2+1)-dimensional dispersive long-wave system	107
Lie symmetry analysis for obtaining the abundant exact solutions, optimal system and dynamics of solitons for a higher-dimensional Fokas equation	107
Modeling and prediction of COVID-19 in Mexico applying mathematical and computational models	105
New approach for the model describing the deathly disease in pregnant women using Mittag-Leffler function	105
Study of multiple lump and rogue waves to the generalized unstable space time fractional nonlinear Schrödinger equation	105
Forecasting of COVID-19 using deep layer Recurrent Neural Networks (RNNs) with Gated Recurrent Units (GRUs) and Long Short-Term Memory (LSTM) cells	105
Prediction of COVID-19 confirmed cases combining deep learning methods and Bayesian optimization	104

Analysis of the impact of COVID-19 on the correlations between crude oil and agricultural futures	104
Stochastic resonance in a metal-oxide memristive device	103
Fractal-fractional differentiation for the modeling and mathematical analysis of nonlinear diarrhea transmission dynamics under the use of real data	102
Novel fractional order SIDARTHE mathematical model of COVID-19 pandemic	102
Mathematical analysis of spread and control of the novel corona virus (COVID-19) in China	102
Lie group analysis, solitons, self-adjointness and conservation laws of the modified Zakharov-Kuznetsov equation in an electron-positron-ion magnetoplasma	99
Analytical and numerical study of the DNA dynamics arising in oscillator-chain of Peyrard-Bishop model	97
Analysis of fractional blood alcohol model with composite fractional derivative	97
Development of new hybrid model of discrete wavelet decomposition and autoregressive integrated moving average (ARIMA) models in application to one month forecast the casualties cases of COVID-19	95
Forecasting of COVID-19 time series for countries in the world based on a hybrid approach combining the fractal dimension and fuzzy logic	94
Fractional Hausdorff grey model and its properties	93
Hidden coexisting hyperchaos of new memristive neuron model and its application in image encryption	93
Analysis of spatiotemporal characteristics of big data on social media sentiment with COVID-19 epidemic topics	92
Optimal policies for control of the novel coronavirus disease (COVID-19) outbreak	92
An efficient computational approach for a fractional-order biological population model with carrying capacity	92
Perturbation of chirped localized waves in a dual-power law nonlinear medium	91
Automatic distinction between COVID-19 and common pneumonia using multi-scale convolutional neural network on chest CT scans	91
Computational modelling of nanofluid flow over a curved stretching sheet using Koo–Kleinstreuer and Li (KKL) correlation and modified Fourier heat flux model	90
Spectral Entropy Analysis and Synchronization of a Multi-Stable Fractional-Order Chaotic System using a Novel Neural Network-Based Chattering-Free Sliding Mode Technique	90
A model of solitary waves in a nonlinear elastic circular rod: Abundant different type exact solutions and conservation laws	90
Solution of a COVID-19 model via new generalized Caputo-type fractional derivatives	89
A piezoelectric sensing neuron and resonance synchronization between auditory neurons under stimulus	87
Characterization of the COVID-19 pandemic and the impact of uncertainties, mitigation strategies, and underreporting of cases in South Korea, Italy, and Brazil	87
On the development of variable-order fractional hyperchaotic economic system with a nonlinear model predictive controller	87
Modeling and prediction of COVID-19 pandemic using Gaussian mixture model	87
Lax pair, conservation laws, Darboux transformation and localized waves of a variable-coefficient coupled Hirota system in an inhomogeneous optical fiber	87
Time series prediction of COVID-19 by mutation rate analysis using recurrent neural network-based LSTM model	86
A novel no-equilibrium HR neuron model with hidden homogeneous extreme multistability	85
Mathematical analysis of a fractional-order predator-prey model with prey social behavior and infection developed in predator population	85
Forecasting of COVID-19 pandemic: From integer derivatives to fractional derivatives	84
Investigating a nonlinear dynamical model of COVID-19 disease under fuzzy caputo, random and ABC fractional order derivative	84
Highly dispersive optical solitons of equation with various polynomial nonlinearity law	84
A hybrid multi-scale model of COVID-19 transmission dynamics to assess the potential of non-pharmaceutical interventions	84
On forecasting the spread of the COVID-19 in Iran: The second wave	84
Some novel mathematical analysis on the fractal–fractional model of the AH1N1/09 virus and its generalized Caputo-type version	84
On semi analytical and numerical simulations for a mathematical biological model; the time-fractional nonlinear Kolmogorov–Petrovskii–Piskunov (KPP) equation	84
Forecasting Brazilian and American COVID-19 cases based on artificial intelligence coupled with climatic exogenous variables	83
Multi-vector with nonlocal and non-singular kernel ultrashort optical solitons pulses waves in birefringent fibers	83
On the variable-order fractional memristor oscillator: Data security applications and synchronization using a type-2 fuzzy disturbance observer-based robust control	80
Sensitivity assessment and optimal economic evaluation of a new COVID-19 compartmental epidemic model with control interventions	80
Modeling COVID-19 epidemic in Heilongjiang province, China	79
An application of the Atangana-Baleanu fractional derivative in mathematical biology: A three-species predator-prey model	78
Quasi-periodic, chaotic and travelling wave structures of modified Gardner equation	78
Data analysis of Covid-19 pandemic and short-term cumulative case forecasting using machine learning time series methods	77
A survey on artificial intelligence approaches in supporting frontline workers and decision makers for the COVID-19 pandemic	77
Intelligent skin cancer detection applying autoencoder, MobileNetV2 and spiking neural networks	76
COVID-19 spreading in Rio de Janeiro, Brazil: Do the policies of social isolation really work?	76
Noise-assisted persistence and recovery of memory state in a memristive spiking neuromorphic network	76
An epidemiological model with voluntary quarantine strategies governed by evolutionary game dynamics	76
Stationary distribution and extinction of stochastic coronavirus (COVID-19) epidemic model	76
Deep recurrent neural networks with finite-time terminal sliding mode control for a chaotic fractional-order financial system with market confidence	76
A hybrid analytical and numerical analysis of ultra-short pulse phase shifts	75
Parameter estimation of uncertain differential equation with application to financial market	75
Delayed hepatitis B epidemic model with stochastic analysis	75
On new approach of fractional derivative by Mittag-Leffler kernel to neutral integro-differential systems with impulsive conditions	74
Dynamical study of fractional order mutualism parasitism food web module	74
A novel CFD analysis to minimize the spread of COVID-19 virus in hospital isolation room	73
An analysis of controllability results for nonlinear Hilfer neutral fractional derivatives with non-dense domain	73
A fractional-order SIRD model with time-dependent memory indexes for encompassing the multi-fractional characteristics of the COVID-19	73
Estimating the infection horizon of COVID-19 in eight countries with a data-driven approach	73
Assessing the role of quarantine and isolation as control strategies for COVID-19 outbreak: A case study	73
A new fractal pattern feature generation function based emotion recognition method using EEG	73
Study of ARIMA and least square support vector machine (LS-SVM) models for the prediction of SARS-CoV-2 confirmed cases in the most affected countries	72
An empirical overview of nonlinearity and overfitting in machine learning using COVID-19 data	72
A chaotic circuit based on a physical memristor	71
Coronavirus pandemic: A predictive analysis of the peak outbreak epidemic in South Africa, Turkey, and Brazil	71
A new fractional-order chaos system of Hopfield neural network and its application in image encryption	71
Firing patterns of an improved Izhikevich neuron model under the effect of electromagnetic induction and noise	71
Results on controllability of Hilfer fractional neutral differential equations with infinite delay via measures of noncompactness	71
A mathematical study on the spread of COVID-19 considering social distancing and rapid assessment: The case of Jakarta, Indonesia	70
Optimal Control Design of Impulsive SQEIAR Epidemic Models with Application to COVID-19	70
A fractional Tikhonov regularization method for an inverse backward and source problems in the time-space fractional diffusion equations	70
Coupled neurons with multi-objective optimization benefit incipient fault identification of machinery	70
Impact of leakage delay on bifurcation in fractional-order complex-valued neural networks	69
Using handpicked features in conjunction with ResNet-50 for improved detection of COVID-19 from chest X-ray images	69
A nonlinear epidemiological model considering asymptotic and quarantine classes for SARS CoV-2 virus	69
Forecast and evaluation of COVID-19 spreading in USA with reduced-space Gaussian process regression	69
Multiple and generic bifurcation analysis of a discrete Hindmarsh-Rose model	68
Analysis of the mitigation strategies for COVID-19: From mathematical modelling perspective	67
Results on approximate controllability of Sobolev-type fractional neutral differential inclusions of Clarke subdifferential type	67

Bifurcations to bursting and spiking in the Chay neuron and their validation in a digital circuit	67
A new n-dimensional conservative chaos based on Generalized Hamiltonian System and its’ applications in image encryption	67
Vortex solitons in fractional nonlinear Schrödinger equation with the cubic-quintic nonlinearity	67
An efficient algorithm for solving the fractional optimal control of SIRV epidemic model with a combination of vaccination and treatment	67
Fuzzy fractional differential equations under the Mittag-Leffler kernel differential operator of the ABC approach: Theorems and applications	67
Belief entropy-of-entropy and its application in the cardiac interbeat interval time series analysis	66
Analysis for fractional dynamics of Ebola virus model	66
Forecasting COVID-19 pandemic: A data-driven analysis	66
Modeling of measles epidemic with optimized fractional order under Caputo differential operator	65
Application of a novel fractional grey prediction model with time power term to predict the electricity consumption of India and China	65
Bibliometric method for mapping the state of the art of scientific production in Covid-19	65
A New Attractive Analytic Approach for Solutions of Linear and Nonlinear Neutral Fractional Pantograph Equations	65
Image encryption algorithm with random scrambling based on one-dimensional logistic self-embedding chaotic map	65
The dynamics of epidemic spreading on signed networks	65
What is the most suitable Lyapunov function?	65
Design and realization of discrete memristive hyperchaotic map with application in image encryption	65
Optimization of micromixer with Cantor fractal baffle based on simulated annealing algorithm	65
An image encryption algorithm based on dynamic row scrambling and Zigzag transformation	64
Results on approximate controllability for non-densely defined Hilfer fractional differential system with infinite delay	64
Memristor synapse-coupled piecewise-linear simplified Hopfield neural network: Dynamics analysis and circuit implementation	64
Forecasting Chinese carbon emissions using a novel grey rolling prediction model	64
Complex dynamics of Kopel model with nonsymmetric response between oligopolists	64
Computational study on the dynamics of fractional order differential equations with applications	63
A new one-dimensional chaotic system with applications in image encryption	63
Logistic equation and COVID-19	63
Forecasting spread of COVID-19 using google trends: A hybrid GWO-deep learning approach	63
The weakly nonlinear wave propagation theory for the Kelvin-Helmholtz instability in magnetohydrodynamics flows	63
Design and DSP implementation of a fractional-order detuned laser hyperchaotic circuit with applications in image encryption	62
Mathematical modeling of pine wilt disease with Caputo fractional operator	62
Partial derivative Nonlinear Global Pandemic Machine Learning prediction of COVID 19	61
The hidden, period-adding, mixed-mode oscillations and control in a HR neuron under electromagnetic induction	61
A new link prediction in multiplex networks using topologically biased random walks	60
Non-fractional and fractional mathematical analysis and simulations for Q fever	60
An efficient spectral collocation method for the dynamic simulation of the fractional epidemiological model of the Ebola virus	60
Estimating the parameters of susceptible-infected-recovered model of COVID-19 cases in India during lockdown periods	59
Fractional model of COVID-19 applied to Galicia, Spain and Portugal	59
Multiobjective optimization inspired by behavior of jellyfish for solving structural design problems	59
Results on system of Atangana–Baleanu fractional order Willis aneurysm and nonlinear singularly perturbed boundary value problems	59
Numerical approach in the Hilbert space to solve a fuzzy Atangana-Baleanu fractional hybrid system	59
New Illustrative Applications of Integral Transforms to Financial Models with Different Fractional Derivatives	59
Comment on “Shallow water in an open sea or a wide channel: Auto- and non-auto-Bäcklund transformations with solitons for a generalized (	59
Fuzzy clustering method to compare the spread rate of Covid-19 in the high risks countries	58
Projections and fractional dynamics of COVID-19 with optimal control strategies	58
A discussion on the approximate controllability of Hilfer fractional neutral stochastic integro-differential systems	58
A multi-group SEIRA model for the spread of COVID-19 among heterogeneous populations	58
Painlevé analysis, Lie group analysis and soliton-cnoidal, resonant, hyperbolic function and rational solutions for the modified Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff equation in fluid mech	58
A new intervention strategy for an HIV/AIDS transmission by a general fractional modeling and an optimal control approach	58
Solitons and breather waves for the generalized Konopelchenko-Dubrovsky-Kaup-Kupershmidt system in fluid mechanics, ocean dynamics and plasma physics	58
Investigating the dynamics of COVID-19 pandemic in India under lockdown	58
Forecasting the cumulative number of confirmed cases of COVID-19 in Italy, UK and USA using fractional nonlinear grey Bernoulli model	57
Regarding new positive, bounded and convergent numerical solution of nonlinear time fractional HIV/AIDS transmission model	57
Dispersion entropy-based Lempel-Ziv complexity: A new metric for signal analysis	56
Environmental persistence influences infection dynamics for a butterfly pathogen via new generalised Caputo type fractional derivative	56
The effects of small-sided soccer games on tactical behavior and collective dynamics: A systematic review	56
SBDiEM: A new mathematical model of infectious disease dynamics	56
Modeling and forecasting the spread and death rate of coronavirus (COVID-19) in the world using time series models	56
Asymptotic stability of fractional order (1,2] stochastic delay differential equations in Banach spaces	56
A fractional order model for Ebola Virus with the new Caputo fractional derivative without singular kernel	56
Chaos based optics inspired optimization algorithms as global solution search approach	55
An epidemic model SIPHERD and its application for prediction of the spread of COVID-19 infection in India	55
Fractional order modelling of omicron SARS-CoV-2 variant containing heart attack effect using real data from the United Kingdom	55
Modeling, analysis and prediction of new variants of covid-19 and dengue co-infection on complex network	55
An Emotion Care Model using Multimodal Textual Analysis on COVID-19	54
An SEIARD epidemic model for COVID-19 in Mexico: Mathematical analysis and state-level forecast	54
Dynamics and density function analysis of a stochastic SVI epidemic model with half saturated incidence rate	54
Solar energy aspects of gyrotactic mixed bioconvection flow of nanofluid past a vertical thin moving needle influenced by variable Prandtl number	54
Dynamic analysis of a mathematical model with health care capacity for COVID-19 pandemic	54
Forecasting the patterns of COVID-19 and causal impacts of lockdown in top five affected countries using Bayesian Structural Time Series Models	54
A novel approach to find exact solutions of fractional evolution equations with non-singular kernel derivative	54
Qualitative and quantitative analysis of nonlinear dynamics by the complete discrimination system for polynomial method	54
Stabilization of single- and multi-peak solitons in the fractional nonlinear Schrödinger equation with a trapping potential	53
Simulation and experimental validation of a non-equilibrium chaotic system	53
Simple colour image cryptosystem with very high level of security	53
Turing-Hopf bifurcation in a diffusive mussel-algae model with time-fractional-order derivative	53
Real-time RGB image encryption for IoT applications using enhanced sequences from chaotic maps	52
Abundant analytical and numerical solutions of the fractional microbiological densities model in bacteria cell as a result of diffusion mechanisms	52
Strict dissipativity synchronization for delayed static neural networks: An event-triggered scheme	52
A numerical simulation of fractional order mathematical modeling of COVID-19 disease in case of Wuhan China	51
Modified generalized Darboux transformation and solitons for a Lakshmanan-Porsezian-Daniel equation	51
Cubic–quartic optical soliton perturbation with complex Ginzburg–Landau equation by the enhanced Kudryashov’s method	51
Designing a bidirectional, adaptive neural interface incorporating machine learning capabilities and memristor-enhanced hardware	51
Dark solitary pulses and moving fronts in an optical medium with the higher-order dispersive and nonlinear effects	51
Determinants of the infection rate of the COVID-19 in the U.S. using ANFIS and virus optimization algorithm (VOA)	50
Image encryption algorithm based on hyperchaotic system and a new DNA sequence operation	50
Bifurcation, phase portrait, chaotic pattern and optical soliton solutions of the conformable Fokas–Lenells model in optical fibers	50
Dynamics analysis, hardware implementation and engineering applications of novel multi-style attractors in a neural network under electromagnetic radiation	50
Quasi-uniform synchronization of Caputo type fractional neural networks with leakage and discrete delays★	50
Modulation instability gain and discrete soliton interaction in gyrotropic molecular chain	50
Nonparaxial pulse propagation in a planar waveguide with Kerr–like and quintic nonlinearities; computational simulations	50
Application of different hybrid nanofluids in convective heat transport of Carreau fluid	50
Computational solutions of the HIV-1 infection of CD4+T-cells fra	50
Families of fundamental and multipole solitons in a cubic-quintic nonlinear lattice in fractional dimension	50
New chaotic memristive cellular neural network and its application in secure communication system	49
Ulam-Hyers stability of caputo type fuzzy fractional differential equations with time-delays	49
High-dimensional spatial patterns in fractional reaction-diffusion system arising in biology	49