Xiao Zhang, Rui Xu, Qintao Gan
Abstract:
In this paper, a delayed predator-prey system with
stage structure and Holling type-II functional response is
investigated. The local stability of a positive equilibrium and the
existence of Hopf bifurcations are established. By using the normal
form theory and center manifold reduction, explicit formulae
determining the stability, direction of the bifurcating periodic
solutions are derived. Finally, numerical simulations are carried
out to illustrate the theoretical results.
Submitted September 16, 2008. Published April 7, 2009.
Math Subject Classifications: 34K18, 34K20, 34K60, 92D25.
Key Words: Time delay; stage structure; stability;
Hopf bifurcation; functional response.
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Xiao Zhang Institute of Applied Mathematics Mechanical Engineering College Shijiazhuang 050003, China email: xzhang_82@163.com |
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Rui Xu Institute of Applied Mathematics Mechanical Engineering College Shijiazhuang 050003, China email: rxu88@yahoo.com.cn |
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Qintao Gan Institute of Applied Mathematics Mechanical Engineering College Shijiazhuang 050003, China email: ganqintao@sina.com |
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