| 摘要: |
| 研究了一类具有复发效应的随机传染病模型. 利用随机微分方程的基本理论、停时技巧、It?公式以及 Lyapunov 函数证明了全局正解的存在性和唯一性, 得到了疾病灭绝的充分条件. 数值模拟验证了理论分析结果. |
| 关键词: 传染病模型， Ito公式， 灭绝 |
| DOI： |
| 分类号: |
| 基金项目:上海市自然科学基金 No.19ZR1437100 |
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| Dynamical analysis of a stochastic epidemic model with recurrent effect |
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haosijia, dingjihao, lvxiang
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Shanghai Normal University
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| Abstract: |
| A stochastic epidemic model with recurrence effect is studied. By utilizing the basic theory of stochastic differential equations, stopping time techniques, It?’s formula, and Lyapunov function, the existence and uniqueness of global positive solutions are proved, and sufficient conditions for disease extinction are obtained. Numerical simulations verify the theoretical analysis results. |
| Key words: epidemic model, Ito's formula, Extinction |
