Bifurcation Analysis of a Diffusive Virus Infection and Immune Response Model with Two Delays

DOI10.1142/S0218127422500262zbMath1492.35360OpenAlexW4213116370MaRDI QIDQ5064620

Junjie Wei, Yan-fei Du

Publication date: 16 March 2022

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127422500262

zbMATH Keywords

bistabilitystability switchvirus infectiontwo delaystristabilityimmue response

Mathematics Subject Classification ID

Epidemiology (92D30) Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Bifurcations in context of PDEs (35B32) Medical epidemiology (92C60) Computational methods for problems pertaining to biology (92-08) PDEs on time scales (35R07)

Uses Software

• sbioPN

Cites Work

• Turing patterns from dynamics of early HIV infection
• Mathematical modelling of immune response in tissues
• Modelling and analysis of dynamics of viral infection of cells and of interferon resistance
• Discrete delay, distributed delay and stability switches
• Theory of functional differential equations. 2nd ed
• Theory and applications of partial functional differential equations
• Existence of waves for a bistable reaction-diffusion system with delay
• Image-guided modeling of virus growth and spread
• Traveling Waves for a Bistable Reaction-Diffusion Equation with Delay
• Two delays induce Hopf bifurcation and double Hopf bifurcation in a diffusive Leslie-Gower predator-prey system
• Dynamical Analysis of Multipathways and Multidelays of General Virus Dynamics Model
• Normal forms and Hopf bifurcation for partial differential equations with delays
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