Title :
Bifurcation in a predator-prey model with time delay and stocking rate
Author :
Teng, Yong ; Li, Shitao ; Shi, Junxian ; Li, Dongmei ; Zhang, Xuefeng
Author_Institution :
Dept. of Basic Course, Shenyang Univ. of Technol., Liaoyang, China
Abstract :
A predator-prey population model with delay and stocking rate is investigated in this paper. Stability and bifurcation of the population is considered. Sufficient conditions for stability and bifurcation is obtained by studying the characteristic equation; With numerical simulation method about the population model, the trace of the phase plane is found. By studying time delay and stocking rate influence on the stability of the population, the theoretical analysis results are proved to be correct.
Keywords :
bifurcation; delays; predator-prey systems; stability; bifurcation; numerical simulation; predator-prey population model; stability; stocking rate; time delay; Bifurcation; Delay; Delay effects; Mathematical model; Predator prey systems; Stability analysis; Bifurcation; Stability; Stocking rate; Time delay;
Conference_Titel :
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location :
Mianyang
Print_ISBN :
978-1-4244-8737-0
DOI :
10.1109/CCDC.2011.5968208
