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Exact Null Controllability of a Stage and Age-Structured Population Dynamics System |
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| Authors: | Yuan He Bedr’Eddine Ainseba |
| Affiliation: | 1. Institut de Mathématiques de Bordeaux, UMR CNRS 5251, Université de Bordeaux, 3 ter Place de la Victoire, 33076, Bordeaux Cedex, France 2. School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu, 730000, China |
| Abstract: | This paper is concerned with the exact null controllability of an age-dependent life cycle dynamics with nonlocal transition processes arising as boundary conditions. We investigate the controllability for the pest by acting on eggs in a small age interval. The main method is based on the derivation of estimations for the adjoint variables related to an optimal control problem. A fixed point theorem is then used to draw conclusions. |
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