具有疫苗接种效果和扑杀犬狂犬病模型的稳定性分析

World Academy of Science, Engineering and Technology, International Journal of Mathematical and Computational Sciences Pub Date : 2015-01-08 DOI:10.12988/AMS.2015.53197

E. D. Wiraningsih, F. Agusto, L. Aryati, S. Toaha, S. Lenhart, Widodo, W. Govaerts

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引用次数: 15

摘要

本文考虑了狂犬病毒在野狗-家狗-人类人畜共患循环中传播动力学的确定性模型。考虑了疫苗接种和扑杀对模型的影响，分析了模型的稳定性，得到了基本繁殖数。我们使用下一代矩阵法和Routh Hurwitz检验来分析该模型的无病平衡和地方病平衡的稳定性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Stability Analysis of Rabies Model with Vaccination Effect and Culling in Dogs

This paper considers a deterministic model for the transmission dynamics of rabies virus in the wild dogs - domestic dogs - human zoonotic cycle. The effect of vaccination and culling in dogs is considered on the model, then the stability was analysed to get basic reproduction number. We use the next generation matrix method and Routh Hurwitz test to analyze the stability of the Disease Free Equilibrium and Endemic Equilibrium of this model.

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World Academy of Science, Engineering and Technology, International Journal of Mathematical and Computational Sciences

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