Optimal harvesting for nonlinear size-structured population dynamics |
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| Authors: | Nobuyuki Kato |
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| Affiliation: | Department of Mathematics, Shimane University, Matsue 690-8504, Japan |
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| Abstract: | A harvesting problem is considered for a size structured population model with separable mortality rate and nonlinear fertility rate. We transform the model to a system of equations and show the existence of a unique solution. We also establish the existence of an optimal harvesting rate which maximizes the total harvest in a given time interval. |
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| Keywords: | Optimal harvesting Size-structured population Separable mortality rate Nonlinear fertility rate Nonautonomous general model |
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