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
收藏
页码：1147 / 1160
页数：14
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