Persistence and extinction of a single-species population system in a polluted environment with random perturbations and impulsive toxicant input

Liu M.; Wang K.

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Persistence and extinction of a single-species population system in a polluted environment with random perturbations and impulsive toxicant input

机译：具有随机扰动和脉冲式有毒物输入的污染环境中单一物种种群系统的持久性和灭绝

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Taking both white noises and colored noises into account, a stochastic single-species model with Markov switching and impulsive toxicant input in a polluted environment is proposed and investigated. Sufficient conditions for extinction, non-persistence in the mean, weak persistence and stochastic permanence are established. The threshold between weak persistence and extinction is obtained. Some simulation figures are introduced to illustrate the main results.

机译：同时考虑了白噪声和彩色噪声，提出了一种在污染环境下具有马尔可夫切换和脉冲有毒物质输入的随机单物种模型。建立了足够的灭绝条件，平均的非持久性，持久性弱和随机持久性。获得了持久性弱和灭绝之间的阈值。引入一些仿真图以说明主要结果。

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《Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science》 |2012年第12期|共10页
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Liu M.; Wang K.;
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1. Persistence and extinction of a single-species population system in a polluted environment with random perturbations and impulsive toxicant input [J] . Liu M., Wang K. Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2012,第12期

机译：具有随机扰动和脉冲式有毒物输入的污染环境中单一物种种群系统的持久性和灭绝
2. 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

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3. Dynamics of a stochastic predator-prey system in a polluted environment with pulse toxicant input and impulsive perturbations [J] . Shuwen Zhang, Dejun Tan Applied Mathematical Modelling . 2015,第20期

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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

机译：脉冲毒物输入污染环境中生物体内毒素的变化
5. Persistence and Foliation Theory for Random Dynamical System and their Application to Geometric Singular Perturbation [D] . Li, Ji 2012

机译：随机动力系统的持久性和叶理论及其在几何奇异扰动的应用
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

机译：基于中立型时滞方程动力学和生态质量系统的冲动人口研究
7. Dynamics of a single population system with impulsively unilateral diffusion and impulsive input toxins in polluted environment [O] . 2015

机译：污染环境中具有脉冲单边扩散和脉冲输入毒素的单种群系统的动力学
8. Extinction and Persistence in Models of Population-Toxicant Interactions (Journal Version) [R] . Hallam, T. G. , de Luna, J. T. 1984

机译：人口 - 毒性相互作用模型的灭绝与持久性（期刊版）

Persistence and extinction of a single-species population system in a polluted environment with random perturbations and impulsive toxicant input

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