Volume 17, Number 4, October-December 2011
|Page(s)||1198 - 1213|
|Published online||02 December 2010|
Approximate controllability by birth control for a nonlinear population dynamics model
Département de Mathématiques & LMV (CNRS, UMR 8100);
Université de Versailles-Saint-Quentin-en-Yvelines,
45 avenue des États-Unis,
78035 Versailles Cedex, France.
2 Département de Mathématiques, Université de Ouagadougou, B.P. 7021, Ouagadougou 03, Burkina Faso. firstname.lastname@example.org
Revised: 11 July 2010
Revised: 18 August 2010
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.
Mathematics Subject Classification: 93B05 / 35K05 / 47H10 / 92D25
Key words: Population dynamics / approximate controllability / characteristic lines / Heat equation / fixed point theorem
© EDP Sciences, SMAI, 2010
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