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Zbl 1133.92027
Kato, Nobuyuki
Optimal harvesting for nonlinear size-structured population dynamics. (English)
[J] J. Math. Anal. Appl. 342, No. 2, 1388-1398 (2008). ISSN 0022-247X

Summary: 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.
MSC 2000:
*92D40 Ecology
49N90 Applications of optimal control and differential games
91B76 Environmental economics
45J05 Integro-ordinary differential equations

Keywords: separable mortality rate; nonlinear fertility rate; nonautonomous general model

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