具有扩散及功能性反应的周期脉冲捕食-被捕食系统研究  

The study on a periodic impulsive predator-prey system with diffusion and functional response

作　　者：李婧[1] 窦家维[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《陕西科技大学学报（自然科学版）》2015年第5期186-191,共6页Journal of Shaanxi University of Science & Technology

基　　金：国家自然科学基金项目(61272435)

摘　　要：主要研究了一类具有扩散及功能性反应的周期脉冲捕食-被捕食系统,系统由一个具有脉冲的反应扩散方程组描述.首先通过抛物偏微分方程的不变矩形理论获得了解的正性性质,然后利用比较原理研究系统解的有界性及持续生存性质;最后应用紧性准则讨论了系统周期解的存在唯一性及全局渐近稳定性.In this paper ,an impulsive predator‐prey system with diffusion and functional re‐sponse is investigated .The system is modeled by a reaction‐diffusion equation with periodic coefficients and impulses .The positive property of the solution is obtained by invariant rec‐tangle of parabolic partial differential equations .Further ,the comparison principle is applied to study the boundedness of the solution and the persistence of the system .Finally ,the condi‐tion to ensure the existence and stability of the periodic solution is obtained by a compactness criterion .

关 键 词：捕食-被捕食系统 功能性反应 脉冲收获 持续生存性 周期解 

分 类 号：O175.1[理学—数学]