✦ LIBER ✦

A periodic predator–prey-chain system with impulsive perturbation

✍ Scribed by Lingzhen Dong; Lansun Chen

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 457 KB
Volume: 223
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2008.02.015

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✦ Synopsis

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 semitrivial periodic solution. Furthermore, the stability of these periodic solutions is studied.

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