1. Analysis of Dynamics of a Recurrent Infectious Disease SIRS Model with Age Structure and Two Delays.
- Author
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Jia, Li, Tan, Hongwu, and Cao, Hui
- Subjects
- *
HOPF bifurcations , *INFECTIOUS disease transmission , *COMMUNICABLE diseases , *COMPUTER simulation , *OSCILLATIONS , *BASIC reproduction number - Abstract
In this paper, an SIRS model with age structure is proposed for recurrent infectious diseases by incorporating infectious delay and temporary immunity delay. Analysis shows that the disease will eventually disappear when the basic reproduction number ℛ 0 < 1. No matter how the infection delay τ 1 changes, as long as the temporary immunity loss delay τ 2 = 0 , the disease transmission will only be endemic and there will be no periodic oscillations when ℛ 0 > 1. Moreover, the stability and Hopf bifurcation will appear as τ 2 increases from zero. It indicates that the duration of temporary immunity can affect the form of disease transmission within the population. Our numerical simulations verified the correctness of the theoretical results. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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