Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642217 | Journal of Computational and Applied Mathematics | 2009 | 7 Pages |
Abstract
A periodic predator–prey-chain system with impulsive effects is considered. By using the global results of Rabinowitz and standard techniques of bifurcation theory, the existence of its trivial, semi-trivial and nontrivial positive periodic solutions is obtained. It is shown that the nontrivial positive periodic solution for such a system may be bifurcated from an unstable semi-trivial periodic solution. Furthermore, the stability of these periodic solutions is studied.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Lingzhen Dong, Lansun Chen,