FINITE-TIME STABILITY OF WOLBACHIA-DRIVEN MOSQUITOES BASED ON STOCHASTIC DIFFERENTIAL EQUATIONS WITH TIME-VARYING DELAY

被引：2

作者：

Guo, Wenjuan ^{[1
]}

Yu, Jianshe ^{[1
]}

机构：

[1] Guangzhou Univ, Guangzhou Ctr Appl Math, Guangzhou 510006, Peoples R China

来源：

JOURNAL OF BIOLOGICAL SYSTEMS | 2023年 / 31卷 / 04期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Stochastic Differential Equations; Time-Varying Delay; Mosquito Populations; Wolbachia; Finite-Time Stability; Mosquito-Borne Diseases; DENGUE; DYNAMICS; POPULATIONS;

D O I：

10.1142/S0218339023500389

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

It is well known that various environmental factors, such as temperature, rainfall and humidity, strongly influence the development and reproduction of mosquito populations and thus the transmission dynamics of mosquito-borne diseases. In this paper, a stochastic noise is introduced to describe the effects of environmental changes on mosquito population dynamics. Considering the waiting period of wild mosquitoes from mating to emergence, the finite-time stability of wild mosquitoes by releasing Wolbachia-infected mosquitoes was studied using a stochastic differential equation with time-varying delay. Finite-time stability describes the phenomenon that the bound of the state does not exceed a specified threshold at a fixed time interval. Sufficient conditions for the finite-time stability are obtained by employing the Lyapunov function and stochastic comparison theorem. Numerical simulations are also provided to illustrate our theoretical results.

引用

页码：1147 / 1160

页数：14

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