Dynamics of a stochastic predator-prey system in a polluted environment with pulse toxicant input and impulsive perturbations

Shuwen Zhang; Dejun Tan

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Dynamics of a stochastic predator-prey system in a polluted environment with pulse toxicant input and impulsive perturbations

机译：具有脉冲毒物输入和脉冲扰动的污染环境中随机捕食者－食饵系统的动力学

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In this study, we consider a stochastic predator-prey system in a polluted environment with pulse toxicant input and impulsive perturbations. By constructing a suitable Lyapunov function and using comparison theorem with an impulsive differential equation and stochastic differential equation, we obtain a set of sufficient conditions for extinction, with weak persistence in the mean and global attraction to any positive solution of the system. We also estimate the conditions for the upper boundedness of the expectations of this system solution. Finally, the results are verified based on computer simulations.

机译：在这项研究中，我们考虑了在具有脉冲毒物输入和脉冲扰动的污染环境中的随机捕食者－食饵系统。通过构造一个合适的Lyapunov函数，并使用带有脉冲微分方程和随机微分方程的比较定理，我们获得了一组充分的灭绝条件，其均值和全局吸引对系统的任何正解的持久性都很弱。我们还估计了此系统解决方案期望值的上限条件。最后，基于计算机仿真验证了结果。

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来源
《Applied Mathematical Modelling》 |2015年第20期|6319-6331|共13页
作者
Shuwen Zhang; Dejun Tan;
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作者单位

College of Science, Jimei University, Xiamen, Fujian 361021, PR China;

College of Teacher Education, Jimei University, Xiamen, Fujian 361021, PR China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Impulsive effect; Extinction; Predator-prey system; Stochastic perturbation; Weak persistence in the mean;

机译：冲动效果;灭绝;捕食者－猎物系统;随机扰动持久性弱于均值;

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1. Analysis of Stochastic Delay Predator-Prey System with Impulsive Toxicant Input in Polluted Environments [J] . MengLiu Abstract and applied analysis . 2013,第6期

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2. Dynamics of stochastic delay Lotka-Volterra systems with impulsive toxicant input and Levy noise in polluted environments [J] . Liu Qun, Chen Qingmei Applied mathematics and computation . 2015,第Null期

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3. Persistence and extinction of a modified Leslie-Gower Holling-type II stochastic predator-prey model with impulsive toxicant input in polluted environments [J] . Liu Meng, Du Chenxi, Deng Meiling Nonlinear analysis. Hybrid systems: An International Multidisciplinary Journal . 2018,第期

机译：污染环境中脉冲毒性投入的改良腰带荷敏型二型随机捕食者 - 杂种模型的持久性和灭绝
4. Changes of Toxin in The Organism in A Polluted Environment With Impulsive Toxicant Input [C] . Xiaofeng Yang, Zhen Jin, Yakui Xue International Symposium on Test and Measurement;ISTM/2005 . 2005

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5. Transient dynamics of predator-prey metapopulations: Effects of spatial structure, heterogeneity, and stochasticity [D] . Holland, Matthew Dana. 2008

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6. Research of population with impulsive perturbations based on dynamics of a neutral delay equation and ecological quality system [O] . Wei Xiong, He Jiang 2016

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7. Dynamics of a Stochastic Delayed Competitive Model with Impulsive Toxicant Input in Polluted Environments [O] . Meiling Deng, Meng Liu, Chuanzhi Bai 2014

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Dynamics of a stochastic predator-prey system in a polluted environment with pulse toxicant input and impulsive perturbations

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