Numerical Optimal Harvesting for an Age-Dependent Prey-Predator System |
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Authors: | Răzvan Ştefănescu Gabriel Dimitriu |
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Institution: | 1. Department of Scientific Computing , The Florida State University , Tallahassee , Florida , USA rstefanescu@fsu.edu;3. Department of Mathematics and Computer Science , “Gr. T. Popa” University of Medicine and Pharmacy , Iasi , Romania |
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Abstract: | In this article, we develop a numerical study of an optimal harvesting problem for age-dependent prey-predator system. Here, the rates of growth and decay as well as the interaction effect between species are assumed to be depending on age, time and space. Existence, uniqueness, and necessary conditions for the optimal control are assured in case of a small final time T. The discrete parabolic nonlinear dynamical systems are obtained by using a finite difference semi-implicit scheme. Then a numerical algorithm is developed to approximate the optimal harvesting effort and the optimal harvest. Results of the numerical tests are given. |
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Keywords: | Age structured population dynamics Optimal harvesting Optimality conditions Numerical Algorithms Finite difference methods |
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