The coexistence of a stochastic Lotka-Volterra model with two predators competing for one prey
The coexistence of a stochastic Lotka-Volterra model with two predators competing for one prey
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DOI：
10.1016/j.amc.2015.07.054
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发表时间：
2015-10
期刊：
影响因子：
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通讯作者：
Qiumei Zhang;D. Jiang
中科院分区：
文献类型：
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作者：
Qiumei Zhang;D. Jiang
本文考虑两个捕食者竞争一个食饵的随机Lotka-Volterra模型。利用马尔可夫半群理论给出了该扰动模型共存原理成立的充分条件。在适当的条件下，证明了解的密度在L1中收敛到一个不变密度.最后，我们进行模拟来说明我们的分析结果。
In this paper, we consider a stochastic Lotka–Volterra model with two predators competing for one prey. We give the sufficient conditions which guarantee that the principle of coexistence holds for this perturbed model via Markov semigroup theory. Furthermore, we prove that the densities of the solution can converge inL1to an invariant density under appropriate conditions. Finally we make simulations to illustrate our analytical results.