一类具有脉冲效应的Lotka-Volterra系统的动力学行为

摘要

对一类具有Michaelis-Menton型功能反应和脉冲效应的Lotka-Volterra捕食系统进行研究,利用脉冲比较定理、Floquet理论及微小扰动法等得到了食饵种群灭绝周期解全局稳定和系统持续生存的充分条件。最后利用Matlab软件对上述情形进行了数值模拟。%In this paper,a class of Lotka-Volterra prey-predator system with Michaelis-Menton type functional response and impulsive effects was studied.By using impulsive comparison theorem,Floquet theory and the small amplitude perturbation skill,some sufficient conditions of the global asymptotic stability of the prey-eradication periodic solution and the persistence for the system were obtained.Finally,some numerical simulations for above circumstances were presented by Matlab software.