Positive Periodic Solution for a Two-Species Predator-Prey System - Applied Mathematics

AM > Vol.5 No.8, May 2014

Positive Periodic Solution for a Two-Species Predator-Prey System ()

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Download as PDF (Size: 369KB) PP. 1099-1107

DOI: 10.4236/am.2014.58103 5,221 Downloads 11,296 Views

Author(s)

Meiyu Cao, Xiaoping Li, Xiangjun Dai

Affiliation(s)

Science College, Hunan Agricultural University, Changsha, China.

ABSTRACT

A two-species predator-prey system with time delay in a two-patch environment is investigated. By using a continuation theorem based on coincidence degree theory, we obtain some sufficient conditions for the existence of periodic solution for the system.

KEYWORDS

Predator-Prey System, Diffusion, Periodic Solution, Coincidence Degree

Share and Cite:

Cao, M. , Li, X. and Dai, X. (2014) Positive Periodic Solution for a Two-Species Predator-Prey System. Applied Mathematics, 5, 1099-1107. doi: 10.4236/am.2014.58103.

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