Title :
The Computer Numerical Simulations and Qualitative Analysis of a Predator-Prey Model with Nonlinear Increasing Rate
Author_Institution :
Coll. of JiLin Railway Vocational & Tech., Jilin, China
Abstract :
In this paper a class of two species mutual interference predator-prey model with nonlinear increasing rate and functional response is studied. 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. Some new results obtained, the theoretical results in this paper are confirmed by numerical simulations.
Keywords :
numerical analysis; predator-prey systems; computer numerical simulation; functional response; nonlinear increasing rate; qualitative analysis; two species mutual interference predator-prey model; Asymptotic stability; Computers; Limit-cycles; Numerical simulation; Predator prey systems; Stability analysis; Trajectory; Predator-prey model; equilibrium points; limit cycle; stability;
Conference_Titel :
Information and Computing (ICIC), 2011 Fourth International Conference on
Conference_Location :
Phuket Island
Print_ISBN :
978-1-61284-688-0
DOI :
10.1109/ICIC.2011.126
