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The dynamics of a food web consisting of two preys and a harvesting predator. (English) Zbl 1142.34335
Summary: This paper investigates the dynamical behavior of an exploited system consisting of two preys and a predator which is being harvested. The existence of biological, economic and optimum equilibrium of the system is examined. The local and global stability analysis of the model has been carried out. The optimal harvesting policy for harvesting the predator species is studied. The bifurcation diagram is drawn for biologically feasible choice of parameters and the harvest parameter is chosen in the range for which optimum equilibrium also exist. It is observed that harvesting can control the chaos.

MSC:
34C23 Bifurcation theory for ordinary differential equations
92D25 Population dynamics (general)
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