一类具有阶段结构的捕食系统的全局渐近稳定性  

Global Asymptotic Stability of A Predator-prey System with Stage Structure

作　　者：耿春梅[1] 林支桂[2] 

机构地区：[1]扬州教育学院数学系,江苏扬州225000 [2]扬州大学数学科学学院,江苏扬州225002

出　　处：《淮阴师范学院学报（自然科学版）》2007年第3期179-186,共8页Journal of Huaiyin Teachers College;Natural Science Edition

基　　金：江苏省自然科学基金资助项目(BK2006064)

摘　　要：研究了具有时滞和阶段结构的捕食系统.利用上下解方法及相应的单调迭代序列给出了解的渐近性质.结果表明,扩散并不影响种群的生存和灭绝,而阶段结构却是种群生存和灭亡的主要因素之一.In this paper, a Lotka-Voherra type predator-prey model with delay and stage structure was discussed. The dynamics of coupled system of semilinear parabolic equations with time delays is investigated using upper and lower solutions and its associated monotone iterations. The asymptotic behavior of solutions is given. The results show that the introduction of diffusion does not affect the permanence and extinctions of species though the introduction of stage structure brings important effect on their permanence and extinction.

关 键 词：捕食系统 阶段结构 时滞 全局稳定性 

分 类 号：O175.26[理学—数学]