环境污染对非线性偏害共生系统影响的动力学分析
Dynamic Analysis of the Influence of Environmental Pollution on a Nonlinear Amensalism System
摘要: 生态环境的严重污染已经威胁到了物种的生存，由此引起的灾害问题现已成为环境灾害中不可忽视的灾种之一。本文建立了一个非线性偏害共生模型，利用动力学分析方法得到污染率临界值m*的表达式，借助Dulac判别法证明了m < m*时，正平衡点是全局渐近稳定的，探讨了生态意义：污染率与抑制作用密切相关；一定条件下，环境污染对第二种群的最终数量会带来严重影响。
Abstract: Serious pollution of the ecological environment has threatened the survival of species. And environmental pollution has become one of the disasters that cannot be ignored. The expressions of threshold of pollution rate m* is obtained basic knowledge of dynamical system. Moreover, it is proved that when m < m* with the help of the Dulac method, the positive equilibrium is globally asymptotically stable. The ecological significance is discussed: the pollution rate is closely related to the inhibition coefficient, environmental pollution can have a serious impact on the final population of the second population.
文章引用：何珊珊, 安霞, 王福昌. 环境污染对非线性偏害共生系统影响的动力学分析[J]. 自然科学, 2021, 9(2): 256-264. https://doi.org/10.12677/OJNS.2021.92028

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