scholarly journals On the long-time behaviour of age and trait structured population dynamics

2019 ◽  
Vol 24 (6) ◽  
pp. 2551-2576
Author(s):  
Tristan Roget ◽  
Keyword(s):  
Population Dynamics ◽  
Time Behaviour ◽  
Structured Population ◽  
Long Time Behaviour ◽  
Structured Population Dynamics ◽  
Long Time

Long-Time Behavior of Spatially and Size-Structured Population Dynamics with Delayed Birth Process

2017 ◽  
Vol 27 (03) ◽  
pp. 1750032 ◽  
Author(s):  
Dongxue Yan ◽  
Xianlong Fu
Keyword(s):  
Population Dynamics ◽  
Semigroup Theory ◽  
Sufficient Conditions ◽  
Time Behavior ◽  
Birth Process ◽  
Structured Population ◽  
Population Dynamics Model ◽  
Structured Population Dynamics ◽  
Long Time ◽  
Asynchronous Exponential Growth

This paper is devoted to the study of a spatially and size-structured population dynamics model with delay in the birth process. We investigate some dynamical properties of the equation by using [Formula: see text]-semigroup theory and spectral analysis arguments, through which we obtain some sufficient conditions of asymptotical stability, asynchronous exponential growth at the null equilibrium as well as Hopf bifurcation occurring at the positive steady state of the system. Some examples are presented and simulated to illustrate the obtained results.

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.

scholarly journals Long-time behaviour of a thermomechanical model for adhesive contact

2011 ◽  
Vol 4 (2) ◽  
pp. 273-309 ◽  
Author(s):  
Elena Bonetti ◽  
◽  
Giovanna Bonfanti ◽  
Riccarda Rossi ◽  
◽  
...  
Keyword(s):  
Adhesive Contact ◽  
Time Behaviour ◽  
Thermomechanical Model ◽  
Long Time Behaviour ◽  
Long Time

Long time behaviour of diffusing particles in constrained geometries; application to chromatin motion

2006 ◽  
Vol 18 (14) ◽  
pp. S235-S243 ◽  
Author(s):  
A Rosa ◽  
F R Neumann ◽  
S M Gasser ◽  
A Stasiak
Keyword(s):  
Time Behaviour ◽  
Long Time Behaviour ◽  
Long Time
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