Scholarlink

<p>Studies on the population dynamics of mosquito species are essential for understanding and controlling the transmission and spread of mosquito-borne diseases. Considering the driving role of temperature on the development of mosquito larvae during the aquatic stage, we first introduce a general system of distributed delay differential equations that models the age structure of mosquitoes, dividing their lifespan into aquatic and adult stages. A general kernel with delay is introduced to model the impact of temperature on the development and maturation of the aquatic stage. By defining the reproduction number of the model, we present some analytical results for the general model, including the existence and stability of both the boundary and interior equilibria. Finally, we study the model with two commonly used delay kernels, present bifurcations and dynamics, and show some simulations to illustrate how the temperature and maturation time impact the population dynamics of mosquitoes.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

A Two-Stage Model with Distributed Delay for Mosquito Population Dynamics

  • 期刊论文

  • 发表日期：

    2025年4月29日

查看全文
  • Li Juan,
  • Fan Guihong,
  • Zhang Xianghong,
  • Zhu Huaiping

摘要

Studies on the population dynamics of mosquito species are essential for understanding and controlling the transmission and spread of mosquito-borne diseases. Considering the driving role of temperature on the development of mosquito larvae during the aquatic stage, we first introduce a general system of distributed delay differential equations that models the age structure of mosquitoes, dividing their lifespan into aquatic and adult stages. A general kernel with delay is introduced to model the impact of temperature on the development and maturation of the aquatic stage. By defining the reproduction number of the model, we present some analytical results for the general model, including the existence and stability of both the boundary and interior equilibria. Finally, we study the model with two commonly used delay kernels, present bifurcations and dynamics, and show some simulations to illustrate how the temperature and maturation time impact the population dynamics of mosquitoes.