On the existence of solution of a four-stage and age-structured population dynamics model

2021 ◽  
Vol 495 (1) ◽  
pp. 124699
Author(s):  
Amidou Traore ◽  
Bedr'Eddine Ainseba ◽  
Oumar Traore
Keyword(s):  
Population Dynamics ◽  
Existence Of Solution ◽  
Dynamics Model ◽  
Structured Population ◽  
Population Dynamics Model ◽  
Structured Population Dynamics ◽  
Age Structured ◽  
Age Structured Population

scholarly journals Null Controllability of a Four Stage and Age-Structured Population Dynamics Model

2021 ◽  
Vol 2021 ◽  
pp. 1-17
Author(s):  
Amidou Traoré ◽  
Bedr’Eddine Ainseba ◽  
Oumar Traoré
Keyword(s):  
Population Dynamics ◽  
Nonlocal Boundary ◽  
Nonlocal Boundary Conditions ◽  
Null Controllability ◽  
Dynamics Model ◽  
Female Population ◽  
Structured Population ◽  
Population Dynamics Model ◽  
Structured Population Dynamics ◽  
Age Structured

This paper is devoted to study the null controllability properties of a population dynamics model with age structuring and nonlocal boundary conditions. More precisely, we consider a four-stage model with a second derivative with respect to the age variable. The null controllability is related to the extinction of eggs, larvae, and female population. Thus, we estimate a time T to bring eggs, larvae, and female subpopulation density to zero. Our method combines fixed point theorem and Carleman estimate. We end this work with numerical illustrations.

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