Title :
Stability Analysis of a Predator-Prey System
Author :
Zhao, Xueda ; Kong, Linghua
Author_Institution :
Sch. of Sci., Dalian Ocean Univ., Dalian, China
Abstract :
This paper deals with a predator-prey system with protective effect on prey population. We discuss the quality of the equilibrium points by using differential equation stable theory, and give the conditions for local stability of the positive equilibrium point. The numerical simulation results show that population size presents one stable point or cyclical fluctuations at certain parameter values.
Keywords :
demography; differential equations; predator-prey systems; stability; cyclical fluctuations; differential equation stable theory; local stability; numerical simulation; positive equilibrium point quality; predator-prey system; prey population; protective effect; stability analysis; Asymptotic stability; Biological system modeling; Numerical stability; Predator prey systems; Sociology; Stability analysis; Statistics; equilibrium points; local stability; predator-prey system;
Conference_Titel :
Computational and Information Sciences (ICCIS), 2012 Fourth International Conference on
Conference_Location :
Chongqing
Print_ISBN :
978-1-4673-2406-9
DOI :
10.1109/ICCIS.2012.290
