渐近非自治Lotka-Volterra竞争系统正解的渐近性

Asymptotic property of positive solution to asymptotic nonautonomous Lotka-Volterra competing system

对参数与时间有关且分别渐近接近于周期函数的n维非自治Lotka Volterra竞争系统进行了研究,如果相应的周期系统存在唯一全局渐近稳定的正周期解,那么该系统的任意一个正解都渐近接近于相应周期系统的严格正周期解.

Non-autonomous n-competing Lotka-Volterra system with time-dependent parameters, which approdimate separately and asymptotically to periodic functions, is investigated. It is shown that any one positive solution to this system would approximate asymptotically to a positive periodic solution to its corresponding periodic system if within the latter there were unique globally asymptotic stable positive periodic solution.