Sub-Optimal Control in the Zika Virus Epidemic Model Using Differential Evolution

Axioms

Nonthamon Chaikham¹  Wannika Sawangtong¹ 

[1] Department of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400, Thailand;

关键词: Zika virus;    sexual transmission;    vertical transmission;    sub-optimal control problem;    differential evolution;   

DOI  :  10.3390/axioms7030061

来源: DOAJ

【 摘 要 】

A dynamical model of Zika virus (ZIKV) epidemic with direct transmission, sexual transmission, and vertical transmission is developed. A sub-optimal control problem to counter against the disease is proposed including three controls: vector elimination, vector-to-human contact reduction, and sexual contact reduction. Each control variable is discretized into piece-wise constant intervals. The problem is solved by Differential Evolution (DE), which is one of the evolutionary algorithm developed for optimization. Two scenarios, namely four time horizons and eight time horizons, are compared and discussed. The simulations show that models with controls lead to decreasing the number of patients as well as epidemic period length. From the optimal solution, vector elimination is the prioritized strategy for disease control.

【 授权许可】

Unknown