Efficient Parameter-Dependent Simulation of Infections in a Population Model

2020 ◽  
pp. 133-146
Author(s):  
Filippo Terragni
Keyword(s):  
Population Model ◽  
Parameter Dependent

Global Dynamics of Generalized Logistic Equations

2018 ◽  
Vol 18 (2) ◽  
pp. 217-236 ◽  
Author(s):  
Daniel Daners ◽  
Julián López-Gómez
Keyword(s):  
Population Model ◽  
Regularity Condition ◽  
Global Dynamics ◽  
Logistic Equations ◽  
Parameter Dependent

Abstract We consider a parameter dependent parabolic logistic population model with diffusion and degenerate logistic term allowing for refuges for the population. The aim of the paper is to remove quite restrictive geometric and smoothness conditions on the refuge used in the existing literature. The key is a new simplified construction of a supersolution that does not make use of any regularity condition of the refuge. At the same time we also simplify other arguments commonly used in the literature.

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.

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