OVERTAKING OPTIMAL HARVESTING FOR AN AGE-DEPENDENT n-DIMENSIONAL FOOD CHAIN MODEL-Reference-Cited by-同舟云学术

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OVERTAKING OPTIMAL HARVESTING FOR AN AGE-DEPENDENT n-DIMENSIONAL FOOD CHAIN MODEL

Published:2013-07 Issue:04 Volume:06 Page:1350024
ISSN:1793-5245
Container-title:International Journal of Biomathematics
language:en
Short-container-title:Int. J. Biomath.

Author:

LUO ZHIXUE¹,ZHANG HUI¹,ZHANG YONGCHENG¹

Affiliation:

1. Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, P. R. China

Abstract

This paper is concerned with an optimal harvesting problem over an infinite horizon for age-dependent n-dimensional food chain model and the analysis of long-term behaviors of the optimal-controlled system. The existence of overtaking optimal policy is proved and a maximum principle is carefully derived by means of Dubovitskii–Milyutin functional analytical extremum theory. Weak and strong turnpike properties of optimal trajectories are established.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793524513500241

Reference23 articles.

1. Optimal Harvesting for a Nonlinear Age-Dependent Population Dynamics

2. Analysis and Control of Age-Dependent Population Dynamics

3. Optimal Harvesting for Periodic Age-Dependent Population Dynamics

4. Pontryagin's principle for control problems in age-dependent population dynamics

5. A problem of optimal harvesting policy in two-stage age-dependent populations

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