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ESAIM: Control, Optimisation and Calculus of Variations (1)

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Approximate controllability by birth controlfor a nonlinear population dynamics model
Otared Kavian, Oumar Traoré
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 17 / Issue 4 / October 2011

Published online by Cambridge University Press:

02 December 2010, pp. 1198-1213

Print publication:

October 2011
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In this paper we analyse an approximate controllability result for a nonlinear population dynamics model. In this model the birth term is nonlocal and describes the recruitment process in newborn individuals population, and the control acts on a small open set of the domain and corresponds to an elimination or a supply of newborn individuals. In our proof we use a unique continuation property for the solution of the heat equation and the Kakutani-Fan-Glicksberg fixed point theorem.