Electronic Journal of Differential Equations,
Vol. 2012 (2012), No 150, pp. 1-13.

Title: Multiple positive periodic solutions for a food-limited two-species
       ratio-dependent predator-prey patch system with delay and harvesting

Author: Hui Fang (Kunming Univ. of Science and Tech., Yunnan, China)

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.