Title :
Existence of at least two positive periodic solutions of a modified Leslie-Gower predator-prey model with harvesting terms
Author :
Liu Yang ; Shouming Zhong
Author_Institution :
Sch. of Math. Sci., Univ. Electron. Sci. & Technol. of China, Chengdu, China
Abstract :
In this paper, we study a modified Leslie-Gower predator-prey model with Holling II type functional response and harvesting terms. By means of the generalized continuation theorem, sufficient conditions for the existence of at least two positive periodic solutions of the model are established.
Keywords :
predator-prey systems; Holling II type functional response; generalized continuation theorem; harvesting terms; least two positive periodic solution; modified Leslie-Gower predator-prey model; sufficient conditions; Analytical models; Biological system modeling; Educational institutions; Equations; Indexes; Mathematical model; Predator prey systems; Generalized continuation theorem; Harvesting terms; Holling II type functional response; Periodic solutions; Predator-prey model;
Conference_Titel :
Microwave and Millimeter Wave Circuits and System Technology (MMWCST), 2013 International Workshop on
Conference_Location :
Chengdu
DOI :
10.1109/MMWCST.2013.6814568
