摘要
本文研究具有变系数和时间延迟的随机SIV流行病模型.首先证明模型存在唯一全局正解,然后利用半鞅收敛定理给出了疾病几乎处处灭绝的充分条件.
In this paper, the stochastic SIV epidemic model with varying coefficient and time delay is studied. It is first proved that there exists the unique globally positive solution. The sufficient conditions for the disease extinction almost surely are then given by semimartingale convergence theorem.
出处
《应用数学》
CSCD
北大核心
2016年第4期890-896,共7页
Mathematica Applicata
基金
中央高校基本科研业务费专项基金(15CX08012A)
关键词
随机SIV流行病模型
半鞅收敛定理
疾病灭绝
时间延迟
Stochastic SIV epidemic model
Semimartingale convergence theorem
Disease extinction
Time delay
