摘要
根据种群动力学原理建立了具有毒物影响和反馈控制的非自治多种群竞争Lotka-Volterra系统,在反馈控制变量的构造上采用了高次非线性函数形式.利用重合度理论中Gaines和Mawhin延拓定理,Barbalat引理以及构造适当的Lyapunov函数,获得了该系统正周期解的存在唯一性和全局吸引性的充分条件.
By means of species dynamic theory,a nonautonomous Lotka-Volterra multiple species competition system with toxicants effect and feedback controls was established,and the high order nonlinear function was used in the construction of the feedback control variables.By means of Continuation Theorem based on Gaines and Mawhin coincidence degree theory,Barbalat Lemma and constructing an appropriate Lyapunov function,the sufficient conditions for the uniqueness and global attractivity of positive periodic solutions of the system were obtained.
基金
国家自然科学基金(11371306)
福建省教育厅自然科学基金(JA13370
JAT160676)
福建师范大学闽南科技学院青年骨干教师重点培养对象项目(mkq201006)资助
