Hui Fang
Abstract:
By using Mawhin's coincidence degree theory, this paper establishes some
sufficient conditions on the existence of four positive periodic
solutions for a food-limited two-species ratio-dependent
predator-prey patch system with delay and harvesting. Some novel
techniques are employed to obtain the appropriate a priori
estimates. An example is given to illustrate our results.
Submitted April 18, 2012. Published August 29, 2012.
Math Subject Classifications: 34C25, 92D25.
Key Words: Coincidence degree; periodic solution; food-limited supply;
predator-prey patch system; harvesting rate.
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Hui Fang Department of Mathematics Kunming University of Science and Technology Kunming, Yunnan 650500, China email: kmustfanghui@hotmail.com |
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