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Global Analysis of SIRS Epidemic Model With General Incidence Function and Incomplete Recovery Rates Stochastical Model

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  • Dramane Ouedraogo
  • Ali Traore
  • Aboudramane Guiro

Abstract

In this paper, deterministic and stochastic models are developped for a class of SIRS epidemic models. Firstly, The conditions for the existence, local and global stability of the disease-free equilibrium and endemic equilibrium are obtained. Secondly, we built the stochastic model. The populations are computationally simulated under various conditions. Comparisons are made between the deterministic and stochastic model.

Suggested Citation

  • Dramane Ouedraogo & Ali Traore & Aboudramane Guiro, 2020. "Global Analysis of SIRS Epidemic Model With General Incidence Function and Incomplete Recovery Rates Stochastical Model," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 12(6), pages 100-100, December.
    • Handle: RePEc:ibn:jmrjnl:v:12:y:2020:i:6:p:100
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    References listed on IDEAS

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    1. Jiang, Zhichao & Wei, Junjie, 2008. "Stability and bifurcation analysis in a delayed SIR model," Chaos, Solitons & Fractals, Elsevier, vol. 35(3), pages 609-619.
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    More about this item

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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