Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900576 | Applied Mathematics and Computation | 2018 | 13 Pages |
Abstract
This paper is devoted to establish the existence and non-existence of the traveling waves for the nonlocal Holling-Tanner predator-prey model. By applying the Schauder's fixed point theorem, we can obtain the existence of the traveling waves. Moreover, in order to prove the limit behavior of the traveling waves at infinity, we construct a sequence that converges to the coexistence state. For the proof of the nonexistence of the traveling waves, we use the property of the two-sided Laplace transform. Finally, we give the effect of the nonlocal diffusion term for the traveling waves.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Hongmei Cheng, Rong Yuan,