期刊
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
卷 17, 期 2, 页码 914-929出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2011.05.047
关键词
Time delay; Stability; Hopf bifurcation; Chaos
The complex dynamics is explored in a prey predator system with multiple delays. Holling type-II functional response is assumed for prey dynamics. The predator dynamics is governed by modified Leslie-Gower scheme. The existence of periodic solutions via Hopf-bifurcation with respect to both delays are established. An algorithm is developed for drawing two-parametric bifurcation diagram with respect to two delays. The domain of stability with respect to tau(1) and tau(2) is thus obtained. The complex dynamical behavior of the system outside the domain of stability is evident from the exhaustive numerical simulation. Direction and stability of periodic solutions are also determined using normal form theory and center manifold argument. (C) 2011 Elsevier B.V. All rights reserved.
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