| 吴小花,廖新元.随机SIR流行病模型解的渐近性态[J].南华大学学报(自然科学版),2016,30(1):39~42.[WU Xiao-hua,LIAO Xin-yuan.The Asymptotic Behavior of Stochastic SIR Model's Solution[J].Journal of University of South China(Science and Technology),2016,30(1):39~42.] |
| 随机SIR流行病模型解的渐近性态 |
| The Asymptotic Behavior of Stochastic SIR Model's Solution |
| 投稿时间：2015-08-27 |
| DOI： |
| 中文关键词: It公式 Lyapunov函数 随机干扰 SIR模型 渐近行为 |
| 英文关键词:It formula Lyapunov function random perturbatons SIR model asymptotic behavior |
| 基金项目: |
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| 摘要点击次数: 667 |
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| 中文摘要: |
| 研究了一类随机SIR流行病模型.构建合适的Lyapunov函数,利用It公式,得出了该模型正解的全局存在唯一性；在该结论的基础上,讨论了随机模型的无病平衡点的渐近行为.在一些条件下,得出随机模型解的上确极限的最大值. |
| 英文摘要: |
| In this paper,a stochastic SIR model is investigated.Sufficient condition for the existence of the unique global positive solution is established by constructing suitable Lyapunov function and It formula.Based on the result,it proves the asymptotic behavior of disease-free equilibrium of the stochastic model.Under a simple condition,the maximum value of the upper limit of the stochastic model's solution was obtained. |
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