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
收藏
页码：1348 / 1375
页数：28
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