Article ID Journal Published Year Pages File Type
4630902 Applied Mathematics and Computation 2011 20 Pages PDF
Abstract

In this paper, we analyze the dynamics of a delayed predator–prey system in the presence of harvesting. This is a modified version of the Leslie–Gower and Holling-type II scheme. The main result is given in terms of local stability, global stability, influence of harvesting and bifurcation. Direction of Hopf bifurcation and the stability of bifurcating periodic solutions are also studied by using the normal form method and center manifold theorem.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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