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arXiv 2002.02560math.DS
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具有一般发生率的Caputo分数阶SIRS模型的全局稳定性

Global stability of a Caputo fractional SIRS model with general incidence rate

Moulay Rchid Sidi Ammi, Mostafa Tahiri, Delfim F. M. Torres

备注：
This is a preprint of a paper whose final and definite form is with 'Math. Comput. Sci.', ISSN 1661-8270 (print), ISSN 1661-8289 (electronic), available at [https://www.springer.com/journal/11786]. Submitted 1-Jun-2019; Revised 5-Feb-2020; Accepted 6-Feb-2020
发表信息：
Math. Comput. Sci. 15 (2021), no. 1, 91--105
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摘要：

引入了一个具有非线性发病率的分数阶SIRS模型。证明了该模型存在唯一正解。研究了无病平衡点和正不动点的稳定性。最后给出了一个数值算例。

英文摘要：

We introduce a fractional order SIRS model with non-linear incidence rate. Existence of a unique positive solution to the model is proved. Stability analysis of the disease free equilibrium and positive fixed points are investigated. Finally, a numerical example is presented.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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