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Controllability under positivity constraints of a size-structured population model with delayed birth process
  • Y. El gantouh,
  • M. Fkirine,
  • Y. Simpore
Y. El gantouh
Zhejiang Normal University

Corresponding Author:[email protected]

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M. Fkirine
Universite Ibn Zohr Faculte des Sciences Agadir
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Y. Simpore
Universite Joseph Ki-Zerbo
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In this paper, we investigate the controllability under positivity constraints from the birth of a size-structured population system with delayed birth process. Firstly, we establish the well-posedness and positivity property of the model. Secondly, and more importantly, we derive a sufficient condition for boundary approximate controllability under state and control positivity constraints. The method relies on the feedback theory of infinite-dimensional positive systems.
07 Apr 2023Submitted to Mathematical Methods in the Applied Sciences
07 Apr 2023Submission Checks Completed
07 Apr 2023Assigned to Editor
14 Apr 2023Review(s) Completed, Editorial Evaluation Pending
15 Apr 2023Reviewer(s) Assigned
14 Aug 2023Editorial Decision: Revise Major
29 Sep 20231st Revision Received
03 Oct 2023Submission Checks Completed
03 Oct 2023Assigned to Editor
03 Oct 2023Review(s) Completed, Editorial Evaluation Pending
05 Oct 2023Reviewer(s) Assigned
21 Nov 2023Editorial Decision: Accept