This article is concerned with the existence of traveling wave solutions for a discrete diffusive ratio-dependent predator-prey model. By applying Schauder's fixed point theorem with the help of suitable upper and lower solutions, we prove that there exists a positive constant $c^{*}$ such that when $c>c^{*}$, the discrete diffusive predator-prey system admits an invasion traveling wave. The existence of an invasion traveling wave with $c=c^{*}$ is also established by a limiting argument and a delicate analysis of the boundary conditions. Finally, by the asymptotic spreading theory and the comparison principle, the non-existence of invasion traveling waves with speed $c
Tao SU
,
Guobao ZHANG
. INVASION TRAVELING WAVES FOR A DISCRETE DIFFUSIVE RATIO-DEPENDENT PREDATOR-PREY MODEL[J]. Acta mathematica scientia, Series B, 2020
, 40(5)
: 1459
-1476
.
DOI: 10.1007/s10473-020-0517-7
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