TRAVELLING FRONT SOLUTION FOR A CLASS OF COMPETITION-DIFFUSION SYSTEM WITH HIGH-ORDER SINGULAR POINT

摘要

In this paper, the existence of travelling front solution for a class of competition-diffusion system with high-order singular point w_it=d_iw_ixx-w~ai_if_i(w),x∈R, t>0,i=1,2 is studied, were d_i,a_i>0 (i=1,2) and w=(w_1(x,t), w_2(x,t)). Under the Cretan assumptions on f, it is showed that if a_i<1 for some i, then (I0 has no travelling front solution, if a_i≥1 for i=1,2, then there is a c_o,c~*:c_o≥0, where c~* is called he minimal wave speed of (I) has no travelling from solution by using the shooting method in combination with a compactness argument.