Averaging principle and optimal control for a stochastic dengue model with two time scales

Wei You, Jing Hu, Anke Meyer-Baese and Qimin Zhang

Chaos, Solitons & Fractals, 2026, vol. 202, issue P1

Abstract: In this paper, considering that mosquitoes have a much faster reproductive rate than humans, a two-time scaled dengue model is formulated by using time scale transformation. By proving the existence of an invariant measure with exponentially ergodic property in the mosquito dynamic equations, we further show that the human subsystem strongly converges to the solution of the averaged equations. Moreover, spraying mosquito insecticides and treating infected persons are introduced as control measures, and the optimal control model of dengue is developed. Based on the convex perturbation method, the first order necessary conditions for optimal control are derived. Numerical simulations are provided to explain and supplement the theoretical result obtained.

Keywords: Stochastic dengue model; Averaging principle; Strongly converge; Optimal control; Convex perturbation (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:202:y:2026:i:p1:s0960077925014894

DOI: 10.1016/j.chaos.2025.117476

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