A Bioeconomic Model of Two Equally Dominated Prey and one Predator System

Saroj Kumar, Sarmita Chattopadh


The model is based on Lotka-Volterra dynamics with two competing fish species which are affected not only by harvesting but also by the presence of a predator, the third species. The prey populations are taken as equally dominating populations so that the coefficients of their interspecific competition are taken equal. The conditions of local and global stability of the model and the possibility of bioeconomic equilibrium are derived. Some numerical simulations are also done at the end of the paper. The asymptotic stability and global stability corresponding to the numerical examples are graphically shown.

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DOI: https://doi.org/10.5539/mas.v4n11p84

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