Title :
Existence of eight positive periodic solutions for two-patch ecosystem with harvesting and diffusion
Author_Institution :
Coll. of Math. & Comput. Sci., Fuzhou Univ., Fuzhou, China
Abstract :
The two-patch predator-prey system with diffusion and harvesting is concerned in this paper. By means of the coincidence degree theory and comparison theorem, we establish the existence of at least eight positive periodic solutions for this system. Further, an example is given to illustrate the effectiveness of our results.
Keywords :
ecology; predator-prey systems; coincidence degree theory; comparison theorem; diffusion; harvesting; positive periodic solutions; two-patch ecosystem; two-patch predator-prey system; Biological system modeling; Computational modeling; Ecosystems; Equations; Mathematical model; Predator prey systems; Stability analysis; Holling III type functional responset; coincidence degree; diffusion; harvesting; positive periodic solutions;
Conference_Titel :
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-61284-771-9
DOI :
10.1109/ICMT.2011.6002607
