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Periodic Solutions for Stochastic Differential Equations Driven by General Counting Processes: Application to Malaria

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  • KOUAME Yao Simplice
  • NZI Modeste

Abstract

In this paper, a class of periodic stochastic differential equations driven by general counting processes (SDEsGp) is studied. First, an existence-uniqueness result for the solution of general SDEsGp based on Poisson processes with Ñ‚-periodic stochastic intensity of time t has been given, for some Ñ‚> 0. Then, using the properties of periodic Markov processes, sufficient conditions for the existence and uniqueness of a periodic solution of the considered equations are obtained. We will then apply the obtained results to the propagation of malaria in a periodic environment.

Suggested Citation

  • KOUAME Yao Simplice & NZI Modeste, 2021. "Periodic Solutions for Stochastic Differential Equations Driven by General Counting Processes: Application to Malaria," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 13(4), pages 1-1, October.
    • Handle: RePEc:ibn:jmrjnl:v:13:y:2021:i:4:p:1
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    References listed on IDEAS

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    1. Miao Zhang & Gaofeng Zong, 2015. "Almost Periodic Solutions for Stochastic Differential Equations Driven By G-Brownian Motion," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(11), pages 2371-2384, June.
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    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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