Dynamics of a stochastic Holling II predator-prey model with Lévy jumps and habitat complexity
Dynamics of a stochastic Holling II predator-prey model with Lévy jumps and habitat complexity
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DOI：
10.1142/s1793524521500777
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发表时间：
2021-07
影响因子：
2.2
通讯作者：
Guangjie Li;Qigui Yang
中科院分区：
文献类型：
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作者：
Guangjie Li;Qigui Yang
研究了一类具有Lévy跳和习惯复杂性的随机Holling II捕食-食饵模型.首先利用李雅普诺夫方法证明了所建立的模型存在唯一的全局正解，并得到了该正解的随机最终有界性.充分条件建立了该解的灭绝和持久性。此外，进行了一些数值模拟，以支持所获得的结果。
This paper investigates a stochastic Holling II predator-prey model with Lévy jumps and habit complexity. It is first proved that the established model admits a unique global positive solution by employing the Lyapunov technique, and the stochastic ultimate boundedness of this positive solution is also obtained. Sufficient conditions are established for the extinction and persistence of this solution. Moreover, some numerical simulations are carried out to support the obtained results.