Hopf Bifurcation Analysis of Pathogen-Immune Interaction Dynamics With Delay Kernel

DOI10.1051/mmnp:2008010zbMath1337.92211arXivmath/0610690OpenAlexW2165626975MaRDI QIDQ2788439

Florin R. Horhat, Dumitru Opris, Larisa Buliga, Mihaela Neamţu

Publication date: 19 February 2016

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610690

zbMATH Keywords

stabilityHopf bifurcationdelay differential equationpathogen-immune interaction

Mathematics Subject Classification ID

Epidemiology (92D30) Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23)

Cites Work

• Unnamed Item
• Complex dynamic behavior in a viral model with delayed immune response
• Nonlinear oscillations in models of immune responses to persistent viruses
• Mathematical analysis of delay differential equation models of HIV-1 infection
• A model of HIV-1 pathogenesis that includes an intracellular delay
• Stability analysis of pathogen-immune interaction dynamics
• Hopf bifurcation and chaos analysis of Chen's system with distributed delays
• Mathematical Analysis of HIV-1 Dynamics in Vivo