On the dynamical behavior of three species food web model |
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Authors: | RK Naji AT Balasim |
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Institution: | aDepartment of Mathematics, College of Science, University of Baghdad, Iraq |
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Abstract: | In this paper, a mathematical model consisting of two preys one predator with Beddington–DeAngelis functional response is proposed and analyzed. The local stability analysis of the system is carried out. The necessary and sufficient conditions for the persistence of three species food web model are obtained. For the biologically reasonable range of parameter values, the global dynamics of the system has been investigated numerically. Number of bifurcation diagrams has been obtained; Lyapunov exponents have been computed for different attractor sets. It is observed that the model has different types of attractors including chaos. |
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