| 一类非线性反应扩散系统解的渐近性态 |
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| 引用本文： | 李传贞.一类非线性反应扩散系统解的渐近性态[J].江苏科技大学学报(社会科学版),2009,23(2):168-172. |
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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,研究了非线性反应扩散系统ut-D1Δu=u（a-bu-cv）,vt-D2Δv=v（d-eu-fv）＋h在齐次Neum ann边界条件下解的渐近性态.
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| 关 键 词： | 非线性反应扩散系统 解的渐近性态 上、下解 抛物型方程极值原理 |
Asymptotic behavior of solution of a nonlinear reaction-diffusion system |
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| Li Chuanzhen.Asymptotic behavior of solution of a nonlinear reaction-diffusion system[J].Journal of Jiangsu University of Science and Technology:Natural Science Edition,2009,23(2):168-172. |
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| Authors: | Li Chuanzhen |
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| Institution: | School of Mathematics and Physics;Jiangsu University of Science and Technology;Zhenjiang Jiangsu 212003;China |
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| Abstract: | In this paper, the asymptotic behavior of a nonlinear reaction-diffusion system ut-D1Δu=u（a-bu-cv）,vt-D2Δv=v（d-eu-fv）＋h with homogeneous Neumann boundary condition was considered by using the method of upper and lower solutions and the parabolic maximum principle. |
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| Keywords: | nonlinear reaction-diffusion system asymptotic behavior of solutions upper and lower solutions parabolic maximum principle |
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