Null Controllability of a Nonlinear Population Dynamics with Age Structuring and Spatial Diffusion

2020 ◽  
pp. 1-33
Author(s):  
Yacouba Simporé
Keyword(s):  
Population Dynamics ◽  
Null Controllability ◽  
Spatial Diffusion

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 Null controllability of a nonlinear population dynamics problem

2006 ◽  
Vol 2006 ◽  
pp. 1-20 ◽  
Author(s):  
Oumar Traore
Keyword(s):  
Population Dynamics ◽  
Internal Control ◽  
Initial Density ◽  
Adjoint System ◽  
Null Controllability ◽  
Dynamics Model ◽  
Carleman Inequality ◽  
Recruitment Process ◽  
Open Set ◽  
Population Dynamics Model

We establish a null controllability result for a nonlinear population dynamics model. In our model, the birth term is nonlocal and describes the recruitment process in newborn individuals population. Using a derivation of Leray-Schauder fixed point theorem and Carleman inequality for the adjoint system, we show that for all given initial density, there exists an internal control acting on a small open set of the domain and leading the population to extinction.

scholarly journals Null controllability of the Lotka-McKendrick system with spatial diffusion

2018 ◽  
Vol 8 (3) ◽  
pp. 707-720
Author(s):  
Nicolas Hegoburu ◽  
◽  
Marius Tucsnak ◽  
Keyword(s):  
Null Controllability ◽  
Spatial Diffusion
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