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Hopf bifurcation of the recurrent infectious disease model with disease age and two delays

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  • Jia, Li
  • Tan, Hongwu
  • Cao, Hui

Abstract

The recurrent infectious disease is study by constructing SIS compartment model with two delays and disease age. The research results indicate the disease will eventually disappear when the basic reproduction number R0<1, the disease will spread within the population when R0>1, and the two ways of the disease spreads within the population, periodical oscillation and convergency to a constant, are illustrated. The further research suggests that, as long as the immune loss delay τ2 is considered, the spread of the disease may exhibit periodic oscillations. It indicates that the duration of temporary immunity can affect the way of the disease transmission within the population. The numerical simulations verified the correctness of the theoretical results we obtained.

Suggested Citation

  • Jia, Li & Tan, Hongwu & Cao, Hui, 2024. "Hopf bifurcation of the recurrent infectious disease model with disease age and two delays," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    • Handle: RePEc:eee:chsofr:v:185:y:2024:i:c:s0960077924006726
    DOI: 10.1016/j.chaos.2024.115120
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