Controllability and positivity constraints in population dynamics with age structuring and diffusion

• Published in: Journal de mathématiques pures et appliquées Vol. 129; pp. 153 - 179
• Main Authors: Maity, Debayan, Tucsnak, Marius, Zuazua, Enrique
• Format: Journal Article
• Language: English
• Published: Elsevier Masson SAS 01.09.2019; Elsevier
• Subjects: Analysis of PDEs; Controllability with positivity constraints; Mathematics; Null controllability; Optimization and Control; Population dynamics; 93B03; Controllability with positivity constraints; Population dynamics; 92D25; Null controllability; 93B05

In this article, we study the null controllability of a linear system coming from a population dynamics model with age structuring and spatial diffusion (of Lotka–McKendrick type). The control is localized in the space variable as well as with respect to the age. The first novelty we bring in is tha...