A note on traveling wave solutions of a diffusive predator-prey model

Chen, Guo and Yao studied traveling wave solutions connecting predator-free state to co-existence state of following diffusive predator-prey model: {ut=uxx+ru(1−u)−rkuv,vt=dvxx+sv(1−vu),when 0 < k < 1 in recent paper [4]. But left the case when k ≥ 1 as an open problem due to a technical difficulty. The aim of this paper is to solve the case when k=1, by introducing an auxiliary system of equations. Moreover some results about the case when k > 1 are also presented.