Markovian switching for near-optimal control of a stochastic SIV epidemic model

被引：4

作者：

Wang, Zong ^{[1
]}

Zhang, Qimin ^{[1
,2
]}

Li, Xining ^{[2
]}

机构：

[1] North Minzu Univ, Sch Math & Informat Sci, Yinchuan 750021, Peoples R China

[2] Ningxia Univ, Sch Math & Stat, Yinchuan 750021, Peoples R China

来源：

MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2019年 / 16卷 / 03期

关键词：

SIV epidemic model; Markov chain; near-optimal control; Hamiltonian function; sufficient and necessary conditions; STATIONARY DISTRIBUTION; DYNAMICS; SYSTEMS;

D O I：

10.3934/mbe.2019066

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

As it is known that environmental perturbation is a key component of epidemic models, and Markov process reveals how the noise affects epidemic systems. The paper introduces Markov chain into a stochastic susceptible-infected-vaccination(SIV) epidemic model composed of vaccination and saturated treatment to analyze the near-optimal control. Based on Pontryagin stochastic maximum principle, the paper gives adequate and all necessary conditions for near-optimal control. Numerical simulations are presented to display the theoretical results and verify the effect of treatment control on epidemic diseases.

引用

页码：1348 / 1375

页数：28

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