污染喀斯特环境下具瞬时与非瞬时脉冲效应的单种群动力学模型

焦建军,陈兰荪,李利梅

系统科学与数学 ›› 2020, Vol. 40 ›› Issue (7) : 1286-1296.

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系统科学与数学 ›› 2020, Vol. 40 ›› Issue (7) : 1286-1296. DOI: 10.12341/jssms13924
论文

污染喀斯特环境下具瞬时与非瞬时脉冲效应的单种群动力学模型

    焦建军1,陈兰荪2,李利梅3
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Dynamics of a Single Population Model with Transient/Non-Transient Impulsive Effects in a Polluted Karst Environment

    JIAO Jianjun1, CHEN Lansun2 ,LI Limei3
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摘要

建立污染喀斯特环境下具瞬时与非瞬时脉冲效应的单种群动力学模型.利用 脉冲微分方程理论,得到系统种群持续生存的控制阈值.研究结果表明瞬时脉冲收获量 与非瞬时脉冲收获区间长度对于系统种群持久起着重要作用,结论为现实的生物资源管理提供了可靠的策略支持.

Abstract

In this paper, we construct a single population model with transient/non-transient impulsive effects in karst environments. By the theories of impulsive differential equations, we obtain the controlling thresholds of the permanence of the investigated system. The results indicate that the amount of transient impulsive harvesting and the non-transient impulsive harvesting interval play important roles in the permanence of population. Our results also provide reliable tactic basis for the practical biological resource management.

关键词

脉冲扩散 / 脉冲输入 /   / 瞬时脉冲收获 / 非瞬时脉冲收获区间长度 / 持久.

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焦建军 , 陈兰荪 , 李利梅. 污染喀斯特环境下具瞬时与非瞬时脉冲效应的单种群动力学模型. 系统科学与数学, 2020, 40(7): 1286-1296. https://doi.org/10.12341/jssms13924
JIAO Jianjun , CHEN Lansun , LI Limei. Dynamics of a Single Population Model with Transient/Non-Transient Impulsive Effects in a Polluted Karst Environment. Journal of Systems Science and Mathematical Sciences, 2020, 40(7): 1286-1296 https://doi.org/10.12341/jssms13924
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