带时滞的随机捕食—被捕食系统生存性分析  

Survival Analysis of a Delay Prey-predator System with Random Perturbations

作　　者：段彩霞[1] 廖新元[1] 吴小花[1] 

机构地区：[1]南华大学数理学院,湖南衡阳421001

出　　处：《南华大学学报（自然科学版）》2015年第1期88-93,共6页Journal of University of South China：Science and Technology

基　　金：南华大学研究生科研创新基金资助项目(2013XCX10)

摘　　要：研究了一类带时滞的随机捕食—被捕食系统.在一些简单假设下,建立了两种群几乎时间均值稳定和局部灭绝的充分条件,并得到了其临界值.举出例子,借用MATLAB仿真说明主要结果.A delay prey-predator system with random perturbations is proposed and studied. Under a simple assumption,almost sufficient conditions for stability in time average and extinction of each population are established. The critical value between stability in time average and extinction is obtained. Finally,numerical simulations are introduced to support the main results by Matlab.

关 键 词：时滞 捕食—被捕食系统 随机干扰 时间均值稳定 灭绝 

分 类 号：O175.13[理学—数学]