文章基本信息

标题：Stability and Hopf bifurcation analysis for a Lotka–Volterra predator-prey model with two delays
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作者：Changjin Xu ; Maoxin Liao ; Xiaofei He 等
期刊名称：International Journal of Applied Mathematics and Computer Science
电子版ISSN：2083-8492
出版年度：2011
卷号：21
期号：1
DOI：10.2478/v10006-011-0007-0
出版社：De Gruyter Open
摘要：In this paper, a two-species Lotka–Volterra predator-prey model with two delays is considered. By analyzing the associated characteristic transcendental equation, the linear stability of the positive equilibrium is investigated and Hopf bifurcation is demonstrated. Some explicit formulae for determining the stability and direction of Hopf bifurcation periodic solutions bifurcating from Hopf bifurcations are obtained by using normal form theory and center manifold theory. Some numerical simulations for supporting the theoretical results are also included
关键词：predator-prey model; delay; stability; Hopf bifurcation