Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 342, Issue 2, Pages 1388-1398Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2008.01.010
Keywords
optimal harvesting; size-structured population; separable mortality rate; nonlinear fertility rate; nonautonomous general model
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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. (c) 2008 Elsevier Inc. All rights reserved.
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