基于两类媒介的炭疽传播模型的全局动力学分析

Abstract

Abstract:

In order to study the influence of vectors on anthrax transmission in animal populations, a deterministic infectious disease model is established based on the transmission mechanism of necrophilic flies and hematophagous flies. The nonnegativity and boundedness of the solutions of the model are proved by using the basic theorem of differential equations, the sufficient conditions for the existence of equilibria are given, and several kinds of reproduction numbers of the model are defined, the stability of the equilibria is analyzed by means of linearization and M-matrix theory, and the persistence of the disease is also studied. The effects of parameters on the basic reproduction number are studied by numerical simulations. The results show that timely cleaning of infected carcasses, eliminating fly breeding sites as much as possible and the use of insecticides on flies can inhibit the spread of anthrax in animal populations.

Key words: Anthrax, Necrophilic flies, Hematophagous flies, Stability, Persistence

CLC Number:

O175.1

Han Mengjie, Liu Junli, Zhang Tailei. Global Dynamics Analysis of Anthrax Transmission Model Based on Two Kinds of Vectors[J].Acta mathematica scientia,Series A, 2024, 44(1): 227-245.

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Global Dynamics Analysis of Anthrax Transmission Model Based on Two Kinds of Vectors

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