# Approximate controllability by birth control for a nonlinear population dynamics model

ESAIM: Control, Optimisation and Calculus of Variations (2011)

- Volume: 17, Issue: 4, page 1198-1213
- ISSN: 1292-8119

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topKavian, Otared, and Traoré, Oumar. "Approximate controllability by birth control for a nonlinear population dynamics model." ESAIM: Control, Optimisation and Calculus of Variations 17.4 (2011): 1198-1213. <http://eudml.org/doc/221912>.

@article{Kavian2011,

abstract = {
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.
},

author = {Kavian, Otared, Traoré, Oumar},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Population dynamics; approximate controllability; characteristic lines; Heat equation; fixed point theorem; nonlinear population dynamics model; unique continuation; heat equation; Kakutani-Fan-Glicksberg fixed point theorem},

language = {eng},

month = {11},

number = {4},

pages = {1198-1213},

publisher = {EDP Sciences},

title = {Approximate controllability by birth control for a nonlinear population dynamics model},

url = {http://eudml.org/doc/221912},

volume = {17},

year = {2011},

}

TY - JOUR

AU - Kavian, Otared

AU - Traoré, Oumar

TI - Approximate controllability by birth control for a nonlinear population dynamics model

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2011/11//

PB - EDP Sciences

VL - 17

IS - 4

SP - 1198

EP - 1213

AB -
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.

LA - eng

KW - Population dynamics; approximate controllability; characteristic lines; Heat equation; fixed point theorem; nonlinear population dynamics model; unique continuation; heat equation; Kakutani-Fan-Glicksberg fixed point theorem

UR - http://eudml.org/doc/221912

ER -

## References

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- O. Traoré, Approximate controllability and application to data assimilation problem for a linear population dynamics model. IAENG Int. J. Appl. Math.37 (2007) 1–12. Zbl1227.93088
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