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A three species food chain model with time delay is studied. By using the theory of functional differential equation and Hassard's method, the conditions for the existence of positive equilibrium and Hopf bifurcation are presented. Finally, numerical simulations are performed to support the analytical results, and the chaotic behaviors are observed.
In this paper, we consider a model of competition between plasmid-bearing and plasmid-free organisms in the chemostat, where the yield coefficients and growth rates are assumed to be general functions of the nutrient concentration. We give a characterization of the outcome of this competition in terms of the relevant parameters. Conditions of the existence and local stability of the rest points are...
A three species food chain model with time delayed harvesting is concerned. By using the theory of functional differential equation and Hassard's method, the conditions on which positive equilibrium exists and Hopf bifurcation occurs are given. Finally numerical simulations are performed to support the analytical results, and the chaotic behaviors are observed.
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