JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (5): 136-142.doi: 10.6040/j.issn.1671-9352.0.2016.017

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Optimal control for a nonlinear diffusion system with age-dependent

LIU Jiang-bi, LUO Zhi-xue   

  1. Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China
  • Received:2016-01-11 Online:2016-05-20 Published:2016-05-16

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Abstract: In this paper, we investigate the optimal harvesting for a class of nonlinear diffusion problem in an age-dependent population system with fertility and mortality depending on the population size. Making the maximum revenue from harvested by control the proportion of the species harvested. Mazurs theory is used to obtain existence of an optimal control. Optimality conditions are derived by means of normal cone technique. Some results in references are extended.

Key words: age-dependent, competition, optimal control, diffusion

CLC Number: 

  • O157.1
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