Global dynamics of an immunosuppressive infection model with stage structure

DOI10.3934/mbe.2020111zbMath1470.92087OpenAlexW2998562753WikidataQ90791921 ScholiaQ90791921MaRDI QIDQ2050002

Zenghui Hao, Wanxiao Xu, Hongying Shu

Publication date: 27 August 2021

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2020111

zbMATH Keywords

periodic solutionsHopf bifurcationstage structuredelayed antiviral immune responseHopf branch

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Pathology, pathophysiology (92C32)

Uses Software

• DDE-BIFTOOL

Cites Work

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• Introduction to functional differential equations
• Uniform persistence and permanence for non-autonomous semiflows in population biology
• Sustained and transient oscillations and chaos induced by delayed antiviral immune response in an immunosuppressive infection model
• Geometric Stability Switch Criteria in Delay Differential Systems with Delay Dependent Parameters
• Global Stability of a Nonlinear Viral Infection Model with Infinitely Distributed Intracellular Delays and CTL Immune Responses
• Symmetric functional differential equations and neural networks with memory
• Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL

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