Periodic behavior in a FIV model with seasonality as well as environment fluctuations
Periodic behavior in a FIV model with seasonality as well as environment fluctuations
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FIV 模型中具有季节性和环境波动的周期性行为
DOI：
10.1016/j.jfranklin.2017.08.034
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
桂占吉
中科院分区：
文献类型：
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作者：
王玮明;蔡永丽;李敬礼;桂占吉
本文用解析和数值方法研究了一类具有季节性的随机FIV模型的动力学性质。平均而言，建立了FIV疾病灭绝和弱持续的充分标准。在平均弱持续的情况下，至少存在一个周期解，这意味着易感个体和感染个体将长期共存并表现出周期性。通过数值模拟还表明，平稳分布由两个参数决定。
In this paper, the dynamics of a stochastic FIV model with seasonality are investigated analytically and numerically. Sufficient criteria for extinction and weak persistence of the FIV disease in the mean are established. In the case of weak persistence in the mean, there exists at least one periodic solution, which means that the susceptible and infective individuals will coexist and exhibit periodicity in the long run. Via the numerical simulations, it is also shown that the stationary distributions are governed by two parameters.