Permanence and extinction of certain stochastic SIR models perturbed by a complex type of noises

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• 作者：Nguyen Huu Du ; ^{dunh@vnu.edu.vn" class="auth_mail" title="E-mail the corresponding author} ; Nguyen Ngoc Nhu ^{nhu.math.2611@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Extinction ; Permanence ; Stationary distribution ; Ergodicity
• 刊名：Applied Mathematics Letters
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：64
• 期：Complete
• 页码：223-230
• 全文大小：717 K

文摘

This paper focuses on a stochastic SIR model with Beddington–DeAngelis functional response, perturbed by a complex type of noises. By introducing a threshold, sufficient and almost necessary conditions for permanence and extinction of the disease are given.