Journal of applied mathematics & informatics
- Volume 25 Issue 1_2
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- Pages.35-50
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- 2007
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
OPTIMAL HARVESTING FOR A POPULATION DYNAMICS PROBLEM WITH AGE-STRUCTURE AND DIFFUSION
Abstract
In this work, optimal harvesting policy for the predator-prey system of three species with age-dependent and diffusion is discussed. Existence and uniqueness of non-negative solution to the system are investigated by using the fixed point theorem. The existence of optimal control strategy is discussed and optimality conditions are obtained. Our results extend some known criteria.