Geodesic
Approximate controllability by birth control for a nonlinear population dynamics model
ESAIM: Control, Optimisation and Calculus of Variations, Tome 17 (2011) no. 4, pp. 1198-1213

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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.

DOI : 10.1051/cocv/2010043
Classification : 93B05, 35K05, 47H10, 92D25
Keywords: population dynamics, approximate controllability, characteristic lines, heat equation, fixed point theorem 
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     title = {Approximate controllability by birth control for a nonlinear population dynamics model},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {1198--1213},
     publisher = {EDP-Sciences},
     volume = {17},
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     year = {2011},
     doi = {10.1051/cocv/2010043},
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     zbl = {1236.93022},
     language = {en},
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Kavian, Otared; Traoré, Oumar. Approximate controllability by birth control for a nonlinear population dynamics model. ESAIM: Control, Optimisation and Calculus of Variations, Tome 17 (2011) no. 4, pp. 1198-1213. doi: 10.1051/cocv/2010043

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