Harvest control for a delayed stage-structured diffusive predator-prey model  

作　　者：Xuebing Zhang Hongyong Zhao 

机构地区：[1]Department of MathematicsNanjing University of Aeronautics and Astronautics Nanjing 210016, P. R. China [2]Department of Basic CoursesHuaian Vocational College of Information Technology Huaian 223003, P. R. China

出　　处：《International Journal of Biomathematics》2017年第1期45-76,共32页生物数学学报（英文版）

摘　　要：In this paper, we have considered a delayed stage-structured diffusive prey-predator model, in which predator is assumed to undergo exploitation. By using the theory of partial functional differential equations, the local stability of an interior equilibrium is established and the existence of Hopf bifurcations at the interior equilibrium is also discussed. By applying the normal form and the center manifold theory, an explicit algorithm to determine the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions is derived. Finally, the complex dynamics are obtained and numerical simulations substantiate the analytical results.

关 键 词：STABILITY Hopf bifurcation delay. 

分 类 号：TP183[自动化与计算机技术—控制理论与控制工程] Q141[自动化与计算机技术—控制科学与工程]