一类带存放率的渐近周期竞争扩散系统的稳定性  

Stability of a asymptotically 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：《江苏科技大学学报（自然科学版）》2009年第4期364-367,共4页Journal of Jiangsu University of Science and Technology:Natural Science Edition

摘　　要：应用上、下解方法和抛物型方程的极值原理,研究了带存放率的渐近周期竞争系统ut-D1Δu=u(a-bu-cv)+h,vt-D2Δv=v(d-eu-fv)+k在齐次Neum ann边界条件下解的渐近性态,得到了该系统的全局渐近稳定性.Based on the upper and lower solutions and the parabolic maximum principle, the asymptotic behavior of solutions of asymptotically periodic competition diffusion system with depositings ut-D1Δu=u（a-bu-cv）＋h,vt-D2Δv=v（d-eu-fv）＋k was studied on the condition of homogeneous Neumann boundary. Simultaneously, the global asymptotic stability of this system was obtained

关 键 词：渐近周期竞争系统 上、下解 抛物型方程的最大值原理 

分 类 号：O175.26[理学—数学] Q-332[理学—基础数学]