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- 저자 : Chandan Kr. Pati (검색결과 2 건)
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A BIO-ECONOMIC MODEL OF TWO-PREY ONE-PREDATOR SYSTEM
Kar, T.K.,Chattopadhyay, S.K.,Pati, Chandan Kr. The Korean Society for Computational and Applied M 2009 Journal of applied mathematics & informatics Vol.27 No.5
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.
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A bio-economic model of two-prey one-predator system
T.K.Kar,S. K. Chattopadhyay,Chandan Kr. Pati 한국전산응용수학회 2009 Journal of applied mathematics & informatics Vol.27 No.5
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. 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.
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