一类具阶段结构的Beddington-DeAngelis型捕食模型解的全局稳定性  

Global stability analysis of predator-prey model with Beddington-DeAngelis functional response and stage structure

作　　者：潘敏[1,2] 葛静[1] 张群英[1] 

机构地区：[1]扬州大学数学科学学院,江苏扬州225002 [2]泰州职业技术学院基础科学部,江苏泰州225300

出　　处：《扬州大学学报（自然科学版）》2015年第4期28-32,共5页Journal of Yangzhou University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11501494);扬州市基础研究计划(自然科学基金)资助项目(YZ2015095)

摘　　要：基于一类具阶段结构的Beddington-DeAngelis(BD)型捕食-被捕食扩散模型,用上下解及迭代方法研究该模型解的全局稳定性,并给出数值模拟.理论结果和数值模拟表明,在被捕食者中引入阶段结构和时滞对生态系统的持续生存带来了负面影响,而在该模型中引入扩散项对种群的持续生存和灭绝没有产生明显的影响.For a reaction-diffusion predator-prey model with Bddington-DeAngelis type functional response with stage structure and time-delay, the global stability is given by using the method of upper and lower solutions, and numerical simulations are carried out to illustrate the analytical results. The results show that introduction of the stage-structure in prey and time-delay has negative influence on the permanence of ecological system, while the introduction of diffusion creats no obvious effect on the permanence and extinction of species.

关 键 词：反应扩散方程 阶段结构 全局稳定 数值模拟 

分 类 号：O175.26[理学—数学]