Numerical Analysis of the Age-Sex-Structured Population Dynamics Taking into Account Spatial Diffusion

2005 ◽  
Vol 10 (4) ◽  
pp. 365-381 ◽  
Author(s):  
Š. Repšys ◽  
V. Skakauskas
Keyword(s):  
Population Dynamics ◽  
Numerical Analysis ◽  
Population Model ◽  
Local Stability ◽  
Deterministic Model ◽  
Random Mating ◽  
Spatial Diffusion ◽  
Neumann Problems ◽  
Structured Population ◽  
Structured Population Dynamics

We present results of the numerical investigation of the homogenous Dirichlet and Neumann problems to an age-sex-structured population dynamics deterministic model taking into account random mating, female’s pregnancy, and spatial diffusion. We prove the existence of separable solutions to the non-dispersing population model and, by using the numerical experiment, corroborate their local stability.

Asymptotic behaviour of a model of an age-sex-structured population dynamics

1998 ◽  
Vol 2 ◽  
pp. 97-100
Author(s):  
Vladas Skakauskas
Keyword(s):  
Population Dynamics ◽  
Asymptotic Behaviour ◽  
Environmental Effects ◽  
Total Population ◽  
Random Mating ◽  
Structured Population ◽  
Structured Population Dynamics ◽  
Special Case

This paper deals with a model of an age-sex-structured population consisting of male, single (nonfertilized) female and fertilized female subclasses taking into account random mating of sexes (during the coupling only), and females’ pregnancy. We analyze the special case of this model where death moduli can be decomposed into the sum of two terms: the first depends on age only and represents death by natural causes, while the second is a function of total population and represents environmental effects. For this model the separable solutions are presented and their asymptotic behaviour is demonstrated.   

scholarly journals Modelling of an age-structured population dynamics taking into account a discrete set of offspring

2016 ◽  
Vol 57 ◽  
Author(s):  
Vladas Skakauskas ◽  
Šarūnas Repšys
Keyword(s):  
Population Dynamics ◽  
Partial Differential Equations ◽  
Dimensional Space ◽  
Coupled System ◽  
Spatial Diffusion ◽  
Two Dimensional ◽  
Structured Population ◽  
Structured Population Dynamics ◽  
Age Structured ◽  
Age Structured Population

A model for description of an age-structured population dynamics taking into account a discrete set of offspring, their care, and spatial diffusion in two-dimensional space is studied numerically. The model consists of a coupled system of integro-partial differential equations. Some results are illustrated by figures.

scholarly journals Structured Population Dynamics: An Introduction to Integral Modeling

2010 ◽  
Vol 83 (4) ◽  
pp. 243-257 ◽  
Author(s):  
Joseph Briggs ◽  
Kathryn Dabbs ◽  
Michael Holm ◽  
Joan Lubben ◽  
Richard Rebarber ◽  
...  
Keyword(s):  
Population Dynamics ◽  
Structured Population ◽  
Structured Population Dynamics

Age-structured & Size-structured Population Dynamics Models

2009 ◽  
Author(s):  
Mohamed O. El-Doma ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras
Keyword(s):  
Population Dynamics ◽  
Structured Population ◽  
Structured Population Dynamics ◽  
Age Structured ◽  
Population Dynamics Models ◽  
Dynamics Models
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