A Nonlinear Model of Age-Dependent Population Dynamics

2003 ◽  
Vol 6 (3) ◽  
pp. 350-360 ◽  
Author(s):  
V. H. Matsenko
Keyword(s):  
Population Dynamics ◽  
Nonlinear Model ◽  
Age Dependent

QUALITATIVE PROPERTIES OF A POPULATION DYNAMICS SYSTEM DESCRIBING PREGNANCY

2005 ◽  
Vol 15 (04) ◽  
pp. 507-554 ◽  
Author(s):  
G. FRAGNELLI ◽  
P. MARTINEZ ◽  
J. VANCOSTENOBLE
Keyword(s):  
Population Dynamics ◽  
Asymptotic Behavior ◽  
Linear Model ◽  
Nonlinear Model ◽  
Total Population ◽  
Type A ◽  
Qualitative Properties

We study a model of population dynamics describing pregnancy: our model is composed by an equation describing the evolution of the total population, and an equation describing the evolution of pregnant individuals. These equations are of course coupled: one coupling expresses that the total population varies with the number of born people, and another coupling says that the number of fecundated individuals depends on the total population. We study three models of that type: a linear model without diffusion, a nonlinear model without diffusion and a linear model with diffusion. For these three models, we study precisely the qualitative properties and the asymptotic behavior of the solutions.

Optimal harvesting for periodic age-dependent population dynamics with logistic term

2009 ◽  
Vol 215 (7) ◽  
pp. 2701-2715 ◽  
Author(s):  
Laura-Iulia Aniţa ◽  
Sebastian Aniţa ◽  
Viorel Arnăutu
Keyword(s):  
Population Dynamics ◽  
Optimal Harvesting ◽  
Age Dependent
Sign in / Sign up

Export Citation Format

Share Document