Global stability of an age-structured model for pathogen–immune interaction

2018 ◽  
Vol 59 (1-2) ◽  
pp. 631-660 ◽  
Author(s):  
Tsuyoshi Kajiwara ◽  
Toru Sasaki ◽  
Yoji Otani
Keyword(s):  
Global Stability ◽  
Structured Model ◽  
Age Structured ◽  
Age Structured Model

Global stability for an SEI model of infectious diseases with immigration and age structure in susceptibility

2019 ◽  
Vol 12 (04) ◽  
pp. 1950042
Author(s):  
Gang Huang ◽  
Chenguang Nie ◽  
Yueping Dong
Keyword(s):  
Infectious Diseases ◽  
Global Stability ◽  
Age Structure ◽  
Lyapunov Functional ◽  
Asymptotically Stable ◽  
Structured Model ◽  
Globally Asymptotically Stable ◽  
Age Structured ◽  
Age Structured Model ◽  
Sei Model

In this paper, we propose an SEI age-structured model for infectious diseases where the susceptibility depends on the age and with immigration of new individuals into the susceptible, exposed and infectious classes. The existence of a global attractor and the asymptotic smoothness of the solution semi-flow generated by the model are addressed. Using a Lyapunov functional, we show that the unique endemic equilibrium is globally asymptotically stable.

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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