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Stability Analysis of SIRS Model considering Pulse Vaccination and Elimination Disturbance

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  • Yanli Ma
  • Xuewu Zuo
  • Kolade M. Owolabi

Abstract

It is well known that many natural phenomena and human activities do exhibit impulsive effects in the fields of epidemiology. At the same time, compared with a single control strategy, it is obvious that the multiple control strategies are more beneficial to restrain the spread of infectious diseases. In this paper, we consider pulse vaccination and pulse elimination strategies at the same time and establish an SIRS epidemic model with standard incidence. Firstly, according to the stroboscopic mapping method of the discrete dynamical system, the disease-free T periodic solution of the model under the condition of pulse vaccination and pulse elimination is obtained. Secondly, the basic reproductive number R0 is defined, and the local asymptotic stability of the disease-free T periodic solution is proved by Floquet theory for R0

Suggested Citation

  • Yanli Ma & Xuewu Zuo & Kolade M. Owolabi, 2024. "Stability Analysis of SIRS Model considering Pulse Vaccination and Elimination Disturbance," Journal of Mathematics, Hindawi, vol. 2024, pages 1-9, February.
    • Handle: RePEc:hin:jjmath:6617911
    DOI: 10.1155/2024/6617911
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