具有Logistic增长的蚊群动力学模型的稳定性分析
Stability Analysis of Mosquito Population Dynamics Model with Logistic Growth
摘要: 疟疾、登革热等蚊媒传染病的高致病率和高死亡率给全球公共卫生带来了巨大的挑战。本文建立了一个具有Logistic增长的蚊群传播动力学模型，通过计算系统的基本再生数，得到了系统平衡点的存在性，并结合单调动力系统理论，得到了系统平凡平衡点和正平衡点的全局渐近稳定性。
Abstract: The high morbidity and mortality rates of mosquito-borne infectious diseases such as malaria and dengue pose a huge challenge to global public health. In this paper, a transmission dynamic model of mosquito population with Logistic growth is established. The existence of the equilibrium points is obtained by calculating the basic regeneration number of the system, and the global asymptotic stability of the trivial equilibrium point and the positive equilibrium point is obtained by combin-ing the theory of monotone dynamic system.
文章引用：黄晓霞, 杨悦, 吕贵臣. 具有Logistic增长的蚊群动力学模型的稳定性分析[J]. 应用数学进展, 2022, 11(12): 8908-8916. https://doi.org/10.12677/AAM.2022.1112939

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