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中文摘要：
该文研究一类拟单调反应扩散系统的古典解的渐近行为.在双稳的假定下,利用上、下解方法和单调半流的收敛性结果,证明了当系统的初值在±∞处的极限分别＂大于＂和＂小于＂其中间平衡点时,初值问题的解收敛于一个连接两个稳定平衡点的波前解.最后,将结果应用到一个传染病模型.
英文摘要：
This paper is concerned with the asymptotic behavior of classical solutions of a class of quasi-monotone reaction-diffusion systems.Under bistable assumption,the authors show that if only the spatial limits of the initial value at±∞are larger and smaller than the immediate unstable equilibrium respectively,then the solutions of the corresponding initial value problem will converge to a bistable traveling front.The approach is based on the elementary super- and sub-solution comparison and the convergence results of monotone semiflows.As an application,these results are applied to a system modeling man-environment-man epidemics.
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