Title :
Permanence for a predator-prey model with Schenk functional response
Author :
Zhong, Minling ; Liu, Xiuxiang
Author_Institution :
Sch. of Inf., Guangdong Univ. of Foreign Studies, Guangzhou, China
Abstract :
This paper deals with a diffusive predator-prey model with a functional response presented by Schenk based on the experiment tests. Based on an auxiliary lemma and by comparison principles, the ultimate boundedness, extinction of prey and permanence of system are investigated. The presented results are all applicable to such realistic cases as Hassell-Varley constant σ = 1,1/2 and 1/3.
Keywords :
predator-prey systems; Hassell-Varley constant; Schenk functional response; auxiliary lemma; diffusive predator-prey model; Educational institutions; Equations; Gold; Diffusion; Functional response; Permanence; Predator-prey system;
Conference_Titel :
Bio-Inspired Computing: Theories and Applications (BIC-TA), 2010 IEEE Fifth International Conference on
Conference_Location :
Changsha
Print_ISBN :
978-1-4244-6437-1
DOI :
10.1109/BICTA.2010.5645342
