Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6421580 | Applied Mathematics and Computation | 2014 | 15 Pages |
Abstract
This paper deals with the existence of three types of traveling waves for a general predator-prey systems of Gause type: traveling wave train solution, point-to-point and point-to-periodic traveling wave solutions. Applying the methods of Wazewski theorem, LaSalle's invariance principle and Hopf bifurcation theorem, we obtain the existence results. Also, the minimal wave speed for biological invasion is obtained. Furthermore, some applications are given to illustrate our results.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yunfei Lv, Rong Yuan,