不完全CI下Wolbachia传播的离散竞争模型

Modeling Wolbachia Propagation underIncomplete Cytoplasmic Incompatibility by Discrete Competition Model

登革热是最严重的蚊媒传染病之一,利用Wolbachia氏菌感染野生蚊子来控制蚊媒传染病是一种有效的策略。本文在不完全CI条件下建立了一个离散竞争模型,研究Wolbachia传播动力学行为。我们通过系统地分析平衡点的存在条件和解的全局渐近性态,给出了Wolbachia成功传播的条件以及CI强度对成功传播的影响,最后利用数值模拟验证了主要结论。

Dengue fever is one of the most serious mosquito-borne infectious diseases. Using Wolbachia in-fection mosquitoes to control those diseases is an effective strategy. In this paper, a discrete com-petition model is established to study the dynamic of Wolbachia propagation under incomplete cytoplasmic incompatibility (CI). We systematically analyze the existing conditions of the equilib-rium and global asymptotic behaviors of solutions to this model, then we give the conditions for successful diffusion and the influence of CI strength on the Wolbachia diffusion. Finally, we verify our findings by numerical simulations.