Bifurcation analysis of an SIS epidemic model with nonlinear birth rate

DOI10.1016/j.chaos.2007.08.082zbMath1197.37117OpenAlexW2092208058MaRDI QIDQ600549

Junli Liu, Tailei Zhang

Publication date: 1 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.08.082

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Bifurcation theory of functional-differential equations (34K18)

Related Items (7)

Global asymptotic stability of an almost periodic nonlinear ecological model ⋮ Bifurcation and chaotic behavior of a discrete-time SIS model ⋮ Stability and Hopf bifurcation analysis of a plant virus propagation model with two delays ⋮ Bifurcation analysis for a predator-prey model with time delay and delay-dependent parameters ⋮ Analysis of a nonautonomous epidemic model with density dependent birth rate ⋮ Stability analysis in a nonlinear ecological model ⋮ Bifurcation analysis of a population dynamics in a critical state

Cites Work

• Stability and Hopf bifurcation for an epidemic disease model with delay
• Theory of functional differential equations. 2nd ed
• Introduction to functional differential equations
• Bifurcation analysis for Chen's system with delayed feedback and its application to control of chaos
• Stability and bifurcation in a neural network model with two delays.
• Hopf bifurcation in REM algorithm with communication delay
• Hopf bifurcation and global periodic solutions in a delayed predator -- prey system
• Hopf bifurcation and stability for a delayed tri-neuron network model
• Geometric Stability Switch Criteria in Delay Differential Systems with Delay Dependent Parameters
• Interaction of maturation delay and nonlinear birth in population and epidemic models
• Threshold dynamics in a delayed SIS epidemic model
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