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

作者：Zhao, Xiangkui^*

来源：Communications in Nonlinear Science & Numerical Simulation, 2018, 62: 174-183.

DOI：10.1016/j.cnsns.2018.02.020

• Predator-prey model
• Lotka-Volterra type
• Traveling wave solution

Chen, Guo and Yao studied traveling wave solutions connecting predator-free state to coexistence state of following diffusive predator-prey model:
{u(t) - u(xx) + ru (1 - u) - rkuv,
v(t) = dv(xx) + sv(1 - v/u),
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.

• 出版日期2018-9
• 单位北京科技大学