红松鼠种群保护的状态反馈脉冲模型研究
Study on State Feedback Impulsive Model of Red Squirrel Protection
摘要: 英国本土红松鼠因外来灰松鼠的入侵而面临灭绝危机。针对目前的情况，文章根据疱疹病毒对两种松鼠影响程度的差异，建立竞争模型，并依据种群数量施加状态反馈脉冲，进而建立带有状态反馈的脉冲模型。利用后继函数法和微分方程的有关理论，研究了系统阶一周期解的存在性和稳定性。所得结论为红松鼠的保护工作提供了一定的理论依据。数值分析结果验证了文中定理的正确性。
Abstract: British native red squirrels are facing extinction crisis due to the invasion of foreign grey squirrels. In view of the current situation, the paper established a competitive model according to the difference of the impact of herpes virus on the two kinds of squirrels, and applied state feedback pulse according to the population size, and then established a pulse model with state feedback. The existence and stability of first-order periodic solutions of the system are studied by using the theory of subsequent functions and differential equations. The conclusion provides a theoretical basis for the protection of red squirrel. The numerical results verify the correctness of the theorem.
文章引用：王烁烁. 红松鼠种群保护的状态反馈脉冲模型研究[J]. 应用数学进展, 2021, 10(1): 74-80. https://doi.org/10.12677/AAM.2021.101009

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