期刊
APPLIED MATHEMATICAL MODELLING
卷 33, 期 3, 页码 1356-1365出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2007.09.037
关键词
Predator-prey system; Stage structure; Linearized method; Traveling wavefronts
资金
- National Science Foundation of China [10671154]
- National Basic Research Program [2005CB321703]
In this paper, we considered an important model describing a two-species predator prey system with diffusion terms and stage structure. By using the linearized method, we investigated the locally asymptotical stability of the nonnegative equilibria of the system and obtained the locally stable conditions. And by using the approach introduced by Canosa [J. Canosa, On a nonlinear diffusion equation describing population growth, IBM J. Res. Dev. 17 (1973) 307-313] and the method of upper and lower solutions, we studied the existence of traveling wavefronts, connecting the zero solution with the positive equilibrium of the system. Our results show that the traveling wavefronts exist and appear to be monotone. Finally, we given a conclusion to summarize the overall achievements of the work presented in the paper. (C) 2008 Elsevier Inc. All rights reserved.
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