具有出生脉冲和脉冲处理的随机SIS流行病模型动力学

2017 13th International Conference on Computational Intelligence and Security (CIS) Pub Date : 2017-12-01 DOI:10.1109/CIS.2017.00101

Guoqiang Deng, Aimin Tang, Miaomiao Xing, Lin Ling, Guirong Jiang, Wentao Huang

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引用次数: 0

摘要

本文构造并研究了一个具有出生脉冲和脉冲处理的随机SIS流行病模型。利用Floquet理论和随机微分方程的定性理论，讨论了随机微分方程平凡解和无感染周期解的存在性和稳定性。研究了一种特殊的地方性解和感染个体的有界性。两个算例表明，相像的数值计算结果与理论分析吻合较好。

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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Dynamics of a Stochastic SIS Epidemic Model with Birth Pulses and Pulse Treatments

In this paper, a stochastic SIS epidemic model with birth pulses and pulse treatments is constructed and investigated. By applying Floquet theory and qualitative theory of stochastic differential equations, the existence and stability of trivial solution and infection-free periodic solution are discussed. A special endemic solution and the boundedness of infective individuals are investigated. Numerical results for phase portraits, which are illustrated with two examples, are in good agreement with the theoretical analysis.

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2017 13th International Conference on Computational Intelligence and Security (CIS)

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