A model of physiologically structured population dynamics with a nonlinear individual growth rate

1995 ◽  
Vol 33 (4) ◽  
Author(s):  
�ngel Calsina ◽  
Joan Salda�a
Keyword(s):  
Growth Rate ◽  
Population Dynamics ◽  
Individual Growth ◽  
Structured Population ◽  
Structured Population Dynamics ◽  
Individual Growth Rate

scholarly journals Local existence for a general model of size-dependent population dynamics

1997 ◽  
Vol 2 (3-4) ◽  
pp. 207-226 ◽  
Author(s):  
Nobuyuki Kato ◽  
Hiroyuki Torikata
Keyword(s):  
Growth Rate ◽  
Population Dynamics ◽  
Initial Data ◽  
Continuous Dependence ◽  
Local Existence ◽  
Local Solution ◽  
Size Dependent ◽  
Structured Population ◽  
Structured Population Dynamics ◽  
Uniqueness Of The Solution

We shall investigate a size structured population dynamics with aging and birth functions having general forms. The growth rate we deal with depends not only on the size but also on time. We show the existence of a local solution and continuous dependence on the initial data, which shows the uniqueness of the solution as well.

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 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
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