带存放率的周期竞争扩散系统的稳定共存  

Stable Coexistence of Periodic Competition Diffusion System with Depositings

作　　者：李传贞[1] 

机构地区：[1]江苏科技大学数理学院,江苏镇江212003

出　　处：《生物数学学报》2008年第3期463-472,共10页Journal of Biomathematics

摘　　要：应用上、下解方法和抛物型方程的极值原理,研究了带存放率的周期竞争系统u_t-D_1△u=u(a-bu-cv)+h,v_t-D2△v=v(d-eu-fv)+k在齐次Neumann边界条件下解的渐近性态,得到了该系统的全局渐近性.In this paper, the asymptotic behaviour of solutions of periodic competition diffusion system with depositings ut-D1Δu=u（α-bu-cv）＋h,vt-D2Δv=v）d-eu-fv）＋k with homogeneous Neumann boundary condition is considered by using the method of upper and lower solutions and the parabolic maximum principle, and the global asymptotic stability of this system is obtained.

关 键 词：周期竞争扩散系统 稳定共存 上、下解 抛物型方程的最大值原理 

分 类 号：O175.26[理学—数学] Q332[理学—基础数学]