Title :
Stability analysis for an improved Volterra Predator-Prey model
Author :
Weiyi Liu ; Chaojin Fu ; Fan Zeng ; Tianci Xuan
Author_Institution :
Dept. of Mech. & Electr. Eng., Xianning Vocational Tech. Coll., Xianning, China
Abstract :
In this paper, the limitations of Volterra Predator-Prey system are pointed out by a simulation example. And an improved model with Logistic blocking effect is proposed. Based on analysis for the local stability of positive equilibrium point, the global stability criterion of this improved system is given. Finally, by MATLAB simulation, we analyse the behavior of solution to the new model.
Keywords :
Volterra equations; predator-prey systems; stability; MATLAB simulation; Volterra predator-prey model; global stability criterion; local stability; logistic blocking effect; positive equilibrium point; stability analysis; Analytical models; Biological system modeling; Eigenvalues and eigenfunctions; Logistics; Mathematical model; Predator prey systems; Stability analysis; Volterra-Logistic model; positive equilibrium point; stability;
Conference_Titel :
Information Science and Technology (ICIST), 2014 4th IEEE International Conference on
Conference_Location :
Shenzhen
DOI :
10.1109/ICIST.2014.6920399
