Global dynamics of a fractional-order SIR epidemic model with memory
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Publication:4984978
DOI10.1142/S1793524520500710zbMath1461.92116OpenAlexW3043564885MaRDI QIDQ4984978
Publication date: 21 April 2021
Published in: International Journal of Biomathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793524520500710
stability analysismemoryCaputo fractional derivativeSIR epidemic modelL1 schemereproduction number \(\mathcal{R}_0\)
Epidemiology (92D30) Fractional derivatives and integrals (26A33) Stability of solutions to ordinary differential equations (34D20)
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Cites Work
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- Dynamics of an SIR epidemic model with limited medical resources revisited
- Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
- Fractional-order PD control at Hopf bifurcations in delayed fractional-order small-world networks
- Global results for an SIRS model with vaccination and isolation
- Some epidemiological models with nonlinear incidence
- Global existence theory and chaos control of fractional differential equations
- The effect of vaccines on backward bifurcation in a fractional order HIV model
- Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- An algorithm for the numerical solution of differential equations of fractional order
- Bifurcations in an epidemic model with constant removal rate of the infectives
- Stability analysis of a fractional order model for the HIV/AIDS epidemic in a patchy environment
- Numerical approximation of nonlinear fractional parabolic differential equations with Caputo-Fabrizio derivative in Riemann-Liouville sense
- Fractal-fractional differentiation and integration: connecting fractal calculus and fractional calculus to predict complex system
- A disease transmission model in a nonconstant population
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Modeling the role of acquired immune response and antiretroviral therapy in the dynamics of HIV infection
- Stability and bifurcation of a delayed generalized fractional-order prey-predator model with interspecific competition
- New approaches to the fractional dynamics of schistosomiasis disease model
- Comparing the new fractional derivative operators involving exponential and Mittag-Leffler kernel
- Spiking and bursting patterns of fractional-order Izhikevich model
- Effects of time delays on stability and Hopf bifurcation in a fractional ring-structured network with arbitrary neurons
- Influence of multiple time delays on bifurcation of fractional-order neural networks
- Bifurcation of a fractional-order delayed malware propagation model in social networks
- Volterra-type Lyapunov functions for fractional-order epidemic systems
- Lyapunov functions for fractional order systems
- Analysis and numerical simulation of multicomponent system with Atangana-Baleanu fractional derivative
- Control scheme for a fractional-order chaotic Genesio-Tesi model
- Transmission dynamics of an influenza model with vaccination and antiviral treatment
- On Hopf bifurcation in fractional dynamical systems
- \(PD^\vartheta\) control strategy for a fractional-order chaotic financial model
- Backward bifurcation of an epidemic model with treatment
- Periodicity in an epidemic model with a generalized non-linear incidence
- Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response
- The Mathematics of Infectious Diseases
- An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data
- Global Stability of Infectious Disease Models Using Lyapunov Functions
- MODELING AND ANALYSIS OF AN SEIR MODEL WITH DIFFERENT TYPES OF NONLINEAR TREATMENT RATES
- Bifurcations of an epidemic model with non-linear incidence and infection-dependent removal rate
- An Analysis of the Modified L1 Scheme for Time-Fractional Partial Differential Equations with Nonsmooth Data
- Mathematical analysis and numerical simulation of chaotic noninteger order differential systems with Riemann‐Liouville derivative
- New numerical approach for fractional differential equations
- A Simple Proof of Descartes's Rule of Signs
- STABILITY ANALYSIS AND APPROXIMATE SOLUTION OF SIR EPIDEMIC MODEL WITH CROWLEY-MARTIN TYPE FUNCTIONAL RESPONSE AND HOLLING TYPE-Ⅱ TREATMENT RATE BY USING HOMOTOPY ANALYSIS METHOD
- Analysis and numerical computations of the fractional regularized long‐wave equation with damping term
- Bifurcation analysis for a fractional‐order chemotherapy model with two different delays
- Characterizations of two different fractional operators without singular kernel
