Almost sure permanence of stochastic single species models
Almost sure permanence of stochastic single species models
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DOI：
10.1016/j.jmaa.2014.09.017
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发表时间：
2015-02
影响因子：
1.3
通讯作者：
Jingliang Lv;Ke Wang
中科院分区：
文献类型：
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作者：
Jingliang Lv;Ke Wang
本文提出了随机总体系统几乎确定持久性的新定义。我们考虑随机逻辑模型 d x (t)= x (t)[a (t)− b (t) x θ (t)] d t+ σ (t) x (t) d B (t)，其中 B (t) 是标准布朗运动，θ 是正常数。在简单的假设下，得到一个有趣的结果如下： 0< lim inf t→∞ x (t)≤ lim su t→∞ x (t)<∞ as 该结果与确定性情况下的结果类似。最后引入了一些数值模拟来支持我们的主要结果。
A new definition of almost sure permanence of stochastic population systems is proposed in this paper. We consider the stochastic logistic model d x (t)= x (t)[a (t)− b (t) x θ (t)] d t+ σ (t) x (t) d B (t), where B (t) is a standard Brownian motion and θ is a positive constant. Under a simple assumption, a interesting result is obtained as follows: 0< lim inf t→∞ x (t)≤ lim sup t→∞ x (t)<∞ as The result is analogous to the result in the deterministic case. And some numerical simulations are introduced to support our main results at the end.