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Approximate controllability by birth control for a nonlinear population dynamics model. (English) Zbl 1236.93022
Summary: We analyze 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.

##### MSC:
 93B05 Controllability 35K05 Heat equation 47H10 Fixed-point theorems 92D25 Population dynamics (general)
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##### References:
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