| 一类带存放率的渐近周期竞争扩散系统的稳定性 |
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| 引用本文： | 李传贞.一类带存放率的渐近周期竞争扩散系统的稳定性[J].江苏科技大学学报(社会科学版),2009,23(4):364-367. |
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| 作者姓名： | 李传贞 |
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| 作者单位： | 江苏科技大学,数理学院,江苏,镇江,212003 |
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| 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.
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| 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 |
Stability of a asymptotically periodic competition diffusion system with depositings |
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| Li Chuanzhen.Stability of a asymptotically periodic competition diffusion system with depositings[J].Journal of Jiangsu University of Science and Technology:Natural Science Edition,2009,23(4):364-367. |
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| Authors: | Li Chuanzhen |
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| Institution: | Li Chuanzhen (School of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang Jiangsu 212003, China) |
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| Abstract: | 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 |
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| Keywords: | asymptotically periodic competition system upper and lower solutions parabolic maximum principle |
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