Title :
Qualitative Analysis of a Class Predator-Prey Model with Holling II Type Functional Response
Author_Institution :
Math. Coll., Beihua Univ., Jilin, China
Abstract :
In this paper, we study a class predator-prey two-species model with Holling II type functional response and mutual interference for predator and smith growth for prey. The stability of equilibrium, the sufficient conditions of nonexistence and conditions of the existence and uniqueness of the limit cycle around the positive equilibrium of the system are discussed. which improve some known results.
Keywords :
predator-prey systems; Holling 2 type functional response; biology; class predator-prey model; equilibrium stability; existence condition; limit cycle; positive equilibrium; predator mutual interference; prey smith growth; qualitative analysis; sufficient condition; uniqueness condition; Biological system modeling; Equations; Interference; Limit-cycles; Mathematical model; Predator prey systems; Equilibrium points; Holling ¢ò type functional response; Limit cycle; Smith growth; mutual interference; prey model;
Conference_Titel :
Information and Computing Science (ICIC), 2012 Fifth International Conference on
Conference_Location :
Liverpool
Print_ISBN :
978-1-4673-1985-0
DOI :
10.1109/ICIC.2012.44
