摘要
本文讨论一类不满足所谓的拟单调条件的反应扩散方程组的初边值问题．应用谱论和单调性方法证明了问题解的存在唯一性和平衡解的渐近稳定性．并进一步讨论了生态学中n种群单食物链模型的第二初值问题，得到了问题的非负平衡解的存在性和渐近性以及相应的吸引区域．
In this paper,the author discuss the initial boundary value problem for a class of reaction-diffusion system which do not satisfy the so-called quasi-monotone condition.Using the spectral theory and monotone method,the author prove the existence and uniqueness of the solution for the problem and the asymptotic stability of the equilibrium solution for the problem. Using this method,the author discuss the second initial boundary value problem of n-population simple food chain model in ecology.the author obtain the existence,the asymptotic behavior and the absorbing region of the non-negative equilibrium solution for the problem.
出处
《生物数学学报》
CSCD
北大核心
1994年第2期23-30,共8页
Journal of Biomathematics
关键词
生态学
反应扩散方程
生物数学
Reaction-diffusion system,Initial boundary value problem,Absorbing region.
