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Null controllability of a nonlinear population dynamics problem

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  • Oumar Traore

Abstract

We establish a null controllability result for a nonlinear population dynamics model. In our model, the birth term is nonlocal and describes the recruitment process in newborn individuals population. Using a derivation of Leray-Schauder fixed point theorem and Carleman inequality for the adjoint system, we show that for all given initial density, there exists an internal control acting on a small open set of the domain and leading the population to extinction.

Suggested Citation

  • Oumar Traore, 2006. "Null controllability of a nonlinear population dynamics problem," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2006, pages 1-20, December.
    • Handle: RePEc:hin:jijmms:049279
    DOI: 10.1155/IJMMS/2006/49279
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    Cited by:

    1. Yacouba Simporé & Oumar Traoré, 2016. "Null Controllability of a Nonlinear Dissipative System and Application to the Detection of the Incomplete Parameter for a Nonlinear Population Dynamics Model," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2016, pages 1-9, March.
    2. Mohamed A. Sana & Somdouda Sawadogo & Sadou Tao, 2022. "Optimal Control for a Degenerate Population Model in Divergence Form With Incomplete Data," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 14(4), pages 1-65, November.

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