Complete global dynamics of a delayed viral infection model with lytic and nonlytic effectors

DOI10.1007/BF03391709zbMath1260.92107OpenAlexW2119877738MaRDI QIDQ1946929

Yoichi Enatsu, Yoshiaki Muroya, Yukihiko Nakata

Publication date: 10 April 2013

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03391709

zbMATH Keywords

Lyapunov functionalsdelay differential equationsglobal asymptotic stabilitylytic and nonlytic immune responsesviral dynamics in vivo

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (3)

Analysis of stability and Hopf bifurcation for HIV-1 dynamics with PI and three intracellular delays ⋮ Complete dynamical analysis for a nonlinear HTLV-I infection model with distributed delay, CTL response and immune impairment ⋮ Global stability of a delayed HTLV-I infection model with a class of nonlinear incidence rates and CTLs immune response

Cites Work

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• Persistence in Infinite-Dimensional Systems
• Impact of Intracellular Delays and Target-Cell Dynamics on In Vivo Viral Infections
• Chain transitivity, attractivity, and strong repellors for semidynamical systems

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