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Stationary distribution of a stochastic predator–prey model with hunting cooperation
Applied Mathematics Letters ( IF 2.9 ) Pub Date : 2021-09-16 , DOI: 10.1016/j.aml.2021.107662
Haokun Qi 1 , Xinzhu Meng 1, 2 , Tasawar Hayat 2, 3 , Aatef Hobiny 2
Affiliation  

In this paper, we propose a stochastic predator–prey model with hunting cooperation and nonlinear perturbation of white noise. The sufficient criteria for the existence of a unique ergodic stationary distribution are established by constructing suitable Lyapunov functions. It reveals that the white noise has a significant impact on the dynamical behavior of the model.



中文翻译:

具有狩猎合作的随机捕食者-猎物模型的平稳分布

在本文中,我们提出了一种具有狩猎合作和白噪声非线性扰动的随机捕食者-猎物模型。通过构造合适的李雅普诺夫函数,建立了存在唯一遍历平稳分布的充分标准。它表明白噪声对模型的动力学行为有显着影响。

更新日期:2021-09-30
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