Title :
Delay induced oscillations in predator-prey system
Author :
Guojian Lin ; Yiguang Hong
Author_Institution :
Acad. of Math. & Syst. Sci., Chinese Acad. of Sci., Beijing, China
Abstract :
The Beddington-DeAngelis predator-prey system with distributed delay is studied in this paper. At first, the local stability of its positive equilibrium is investigated. Then, with the mean delay as a bifurcation parameter, the considered system is found to undergo a Hopf bifurcation. The bifurcating periodic solutions are analyzed by virtue of the normal form theory and center manifold theorems. Numerical simulations are also given to illustrate the results.
Keywords :
bifurcation; delays; predator-prey systems; stability; Hopf bifurcation; bifurcating periodic solution; center manifold theorem; delay induced oscillation; distributed delay; local stability; normal form theory; predator-prey system; Bifurcation; Biological system modeling; Control systems; Delay effects; Delay systems; Kernel; Mathematics; Numerical simulation; Predator prey systems; Stability; Hopf bifurcation; Stability; distributed delay; predator-prey system;
Conference_Titel :
Control Conference, 2006. CCC 2006. Chinese
Conference_Location :
Harbin
Print_ISBN :
7-81077-802-1
DOI :
10.1109/CHICC.2006.280786
