期刊
INFORMATION SCIENCES
卷 467, 期 -, 页码 670-684出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2018.03.054
关键词
SIRS epidemic model; Stochastic near-optimal control; Sufficient and necessary conditions; Adjoint equation; Hamiltonian function
资金
- National Natural Science Foundation of China [11661064, 11461053]
- NSF [DMS-1758290]
In this paper, we studied the near-optimal control of a stochastic susceptible-infected-recovered-susceptible (SIRS) model that includes a nonmonotone incidence rate. The near optimal control problem was formulated by reducing the infected population while keeping the treatment cost to a minimum. We obtained the sufficient and necessary conditions for the near-optimality. We showed that any near-optimal control can be solved by using the Hamiltonian function to approximate the cost function. According to the adjoint equations, we derived the estimate for the error bound of the near-optimality. Numerical simulations were performed to illustrate the results and confirm the effect of treatment control on the disease dynamics. (C) 2018 Published by Elsevier Inc.
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