Xingyong Liu, Xiuxiang Liu
Abstract:
This article explores the existence of periodic solutions for non-autonomous
impulsive semi-ratio-dependent predator-prey systems on time scales.
Based on a continuous theorem in coincidence degree theory, sharp sufficient
and necessary conditions are derived in which most popular monotonic,
non-monotonic and predator functional responses are applicable.
This article extends the work in [6,10,12,13,134,18,25].
Submitted July 16, 2012. Published November 15, 2012.
Math Subject Classifications: 34A34, 34C25, 92D25.
Key Words: Time scales; periodic solutions; predator-prey system;
functional responses.
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Xingyong Liu School of Mathematical Sciences South China Normal University Guangzhou 510631, China email: 32553961@qq.com | |
Xiuxiang Liu School of Mathematical Sciences South China Normal University Guangzhou 510631, China email: liuxx@scnu.edu.cn |
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