Scholarlink

<p>We develop and analyze a mosquito population suppression delay model that incorporates survival probability during the maturation process. The model allows the trivial equilibrium to coexist with two positive equilibria and exhibits steady-state behavior including asymptotic stability, semi-stability and bistability. We analyze the subsets of basins of attraction for each stable equilibrium. Using delay as a bifurcation parameter, we examine the onset and global continuation of Hopf bifurcating periodic solutions by the global Hopf bifurcation theorem and the Bendixson criterion. Finally, some numerical examples are provided to validate the theoretical findings.</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

Global Stability and Hopf Bifurcation in a Delay Differential Model for Mosquito Population Suppression with a Constant Release

  • 期刊论文

  • 发表日期：

    2026年1月14日

查看全文
  • Yufeng Wang,
  • Rong Yan,
  • Jianshe Yu,
  • Jianhong Wu

摘要

We develop and analyze a mosquito population suppression delay model that incorporates survival probability during the maturation process. The model allows the trivial equilibrium to coexist with two positive equilibria and exhibits steady-state behavior including asymptotic stability, semi-stability and bistability. We analyze the subsets of basins of attraction for each stable equilibrium. Using delay as a bifurcation parameter, we examine the onset and global continuation of Hopf bifurcating periodic solutions by the global Hopf bifurcation theorem and the Bendixson criterion. Finally, some numerical examples are provided to validate the theoretical findings.