在本篇論文中，我們主要研究某類傳染病模型的微分方程，其行波解的存在且該行波解為monotonic。利用monotone iteration這個方法，結合我們所建構的上解和下解，證明當存在最小的波速c* ，而且當波速高於最小波速c* 時，行波解是存在的。The purpose of this thesis is to investigate the existence of monotonic travelingwave solutions for some epidemic models. Using the monotone iteration method,combining with a pair of upper solution and lower solution, we show that thereexist a minimal wave speed c* such that if the wave speed is greater than c* ,then there exist monotone traveling wave solutions.
