Dynamics of an infection model with two delays

DOI10.1142/S1793524515500680zbMath1335.92103MaRDI QIDQ3449148

Xinguo Sun, Junjie Wei

Publication date: 3 November 2015

Published in: International Journal of Biomathematics (Search for Journal in Brave)

zbMATH Keywords

delayglobal stabilityHopf bifurcationLyapunov functionalsHTLV-I infectionCTL response

Mathematics Subject Classification ID

Epidemiology (92D30) Stability theory of functional-differential equations (34K20) Bifurcation theory of functional-differential equations (34K18)

Related Items (2)

Analysis of a hepatitis B viral infection model with immune response delay ⋮ Hopf Bifurcation of a Delayed Predator–Prey Model with Nonconstant Death Rate and Constant-Rate Prey Harvesting

Cites Work

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• Global dynamics of a mathematical model for HTLV-I infection of \(CD4^{+}T\) cells with delayed CTL response
• Stable and transient periodic oscillations in a mathematical model for CTL response to HTLV-I infection
• Multiple stable periodic oscillations in a mathematical model of CTL response to HTLV-I infection
• Global dynamics of a mathematical model for HTLV-I infection of \(CD4^{+}\) T-cells
• Global dynamics of an in-host viral model with intracellular delay
• Complex dynamic behavior in a viral model with delayed immune response
• Multistability in a model for CTL response to HTLV-I infection and its implications to HAM/TSP development and prevention
• Uniform persistence and flows near a closed positively invariant set
• Time delay in a basic model of the immune response
• Global stability of a delayed HTLV-I infection model with a class of nonlinear incidence rates and CTLs immune response
• Impact of Intracellular Delays and Target-Cell Dynamics on In Vivo Viral Infections
• Global dynamics of a HTLV-I infection model with CTL response

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