Asymptotic properties and simulations of a stochastic logistic model under regime switching
Asymptotic properties and simulations of a stochastic logistic model under regime switching
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状态切换下随机 Logistic 模型的渐近性质和模拟
DOI：
10.1016/j.mcm.2011.05.023
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发表时间：
2011
影响因子：
--
通讯作者：
Ke Wang
中科院分区：
文献类型：
--
作者：
Meng Liu,;Ke Wang
在同时考虑环境有色噪声和白色噪声的情况下，建立了一个状态切换下的一般随机Logistic模型。建立了系统灭绝、平均非持续生存、弱持续生存、随机持续生存和全局吸引的充分条件。得到了弱持续生存与灭绝之间的临界数。此外，一些模拟图来说明的主要结果。
Taking both white noise and colored environmental noise into account, a general stochastic logistic model under regime switching is proposed and studied. Sufficient conditions for extinction, nonpersistence in the mean, weak persistence, stochastic permanence and global attractivity are established. The critical number between weak persistence and extinction is obtained. Moreover, some simulation figures are introduced to illustrate the main results.