scholarly journals An Age-Structured Model of HIV Infection that Allows for Variations in the Production Rate of Viral Particles and the Death Rate of Productively Infected Cells

2004 ◽  
Vol 1 (2) ◽  
pp. 267-288 ◽  
Author(s):  
Patrick W. Nelson ◽  
◽  
Michael A. Gilchrist ◽  
Daniel Coombs ◽  
James M. Hyman ◽  
...  
Keyword(s):  
Hiv Infection ◽  
Production Rate ◽  
Death Rate ◽  
Structured Model ◽  
Viral Particles ◽  
Infected Cells ◽  
Age Structured ◽  
Age Structured Model

scholarly journals Optimal control of an age-structured model of HIV infection

2012 ◽  
Vol 219 (5) ◽  
pp. 2766-2779 ◽  
Author(s):  
Hee-Dae Kwon ◽  
Jeehyun Lee ◽  
Sung-Dae Yang
Keyword(s):  
Optimal Control ◽  
Hiv Infection ◽  
Structured Model ◽  
Age Structured ◽  
Age Structured Model

An Age-Structured Model of Fish Population Enhancement

2002 ◽  
pp. 376-394
Author(s):  
Richard Langton ◽  
James Lindholm ◽  
James Wilson ◽  
Sally Sherman
Keyword(s):  
Fish Population ◽  
Structured Model ◽  
Age Structured ◽  
Age Structured Model

scholarly journals Null Controllability of a Nonlinear Age Structured Model for a Two-Sex Population

2021 ◽  
Vol 2021 ◽  
pp. 1-20
Author(s):  
Amidou Traoré ◽  
Okana S. Sougué ◽  
Yacouba Simporé ◽  
Oumar Traoré
Keyword(s):  
Null Controllability ◽  
Auxiliary System ◽  
Time Interval ◽  
Observability Inequality ◽  
Controllability Problem ◽  
Structured Model ◽  
Male And Female ◽  
System A ◽  
Age Structured ◽  
Age Structured Model

This paper is devoted to study the null controllability properties of a nonlinear age and two-sex population dynamics structured model without spatial structure. Here, the nonlinearity and the couplage are at the birth level. In this work, we consider two cases of null controllability problem. The first problem is related to the extinction of male and female subpopulation density. The second case concerns the null controllability of male or female subpopulation individuals. In both cases, if A is the maximal age, a time interval of duration A after the extinction of males or females, one must get the total extinction of the population. Our method uses first an observability inequality related to the adjoint of an auxiliary system, a null controllability of the linear auxiliary system, and after Kakutani’s fixed-point theorem.

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