具有反馈控制的合作与竞争系统的稳定性  

The stability of cooperative and competitive with feedback control

作　　者：林德贵[1] 于银辉 杨英钟[1] 陶胜[1] LIN Degui;YU Yinhui;YANG Yingzhong;TAO Sheng(Minnan University of Science and Technology,Quanzhou 362700 China)

机构地区：[1]闽南理工学院信息管理学院,福建泉州362700

出　　处：《新余学院学报》2025年第2期90-94,共5页Journal of Xinyu University

基　　金：福建省中青年教师教育科研项目“微分方程跨渠道退货的双渠道商家定价与退货策略”(JAT231147);闽南理工学院科技创新团队项目“智能工业互联网与数字化管理科技创新”(23XTD114)。

摘　　要：通过构造合适的Lyapunov函数,采用反馈控制方法,研究了两种群合作与竞争系统的正平衡点和边界平衡点的稳定性问题,得到了保证正平衡点和边界平衡点全局渐近稳定的充分性条件,并通过数值模拟实例验证了所得结论的正确性。By constructing suitable Lyapunov functions and applying feedback control methods,the stability of the positive equilibrium points and boundary equilibrium points in two-group cooperation and competition systems was investigated.The sufficient conditions to ensure global asymptotic stability of the positive equilibrium points and boundary equilibrium points were derived.The correctness of the obtained conclusions was verified through numerical simulation examples.

关 键 词：反馈控制 合作与竞争系统 LYAPUNOV函数 全局渐近稳定 

分 类 号：O175.14[理学—数学]