Peer-reviewed veterinary case report
Markovian switching for near-optimal control of a stochastic SIV epidemic model.
- Journal:
- Mathematical biosciences and engineering : MBE
- Year:
- 2019
- Authors:
- Wang, Zong et al.
- Affiliation:
- School of Mathematics and Information Science · China
Abstract
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.
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Search related cases →Original publication: https://pubmed.ncbi.nlm.nih.gov/30947424/