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- W2405521755 abstract "We propose a model based on Lotka-Volterra dynamics with two competing spices which are affected not only by harvesting but also by the presence of a predator, the third species. Hyperbolic and linear response functions are considered. We derive the conditions for global stability of the system using Lyapunov function. The optimal harvest policy is studied and the solution is derived in the interior equilibrium case using Pontryagin's maximal principle. Finally, some numerical examples are discussed. The nature of variations in the two prey species and one predator species is studied extensively through graphical illustrations." @default.
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- W2405521755 date "2009-01-01" @default.
- W2405521755 modified "2023-09-27" @default.
- W2405521755 title "A BIO-ECONOMIC MODEL OF TWO-PREY ONE-PREDATOR SYSTEM" @default.
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