Corpus ID: 221557199

Null Controllability of a nonlinear age, space and two-sex structured population dynamics model

  title={Null Controllability of a nonlinear age, space and two-sex structured population dynamics model},
  author={Simpor'e Yacouba and Traor{\'e} Soumana Oumar},
  journal={arXiv: Analysis of PDEs},
In this paper, we study the null controllability of a nonlinear age, space and two-sex structured population dynamics model. This model is such that the nonlinearity and the couplage are at birth level. We consider a population with males and females and we are dealing with two cases of null controllability problem. The first problem is related to the total extinction, which means that, we estimate a time $T$ to bring the male and female subpopulation density to zero. The second case concerns… Expand

Figures from this paper


Controllability and positivity constraints in population dynamics with age structuring and diffusion
Abstract In this article, we study the null controllability of a linear system coming from a population dynamics model with age structuring and spatial diffusion (of Lotka–McKendrick type). TheExpand
Null controllability of a nonlinear population dynamics problem
  • O. Traore
  • Mathematics, Computer Science
  • Int. J. Math. Math. Sci.
  • 2006
A derivation of Leray-Schauder fixed point theorem and Carleman inequality for the adjoint system shows 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. Expand
Exact and approximate controllability of the age and space population dynamics structured model
We prove exact and approximate controllability for a linear age-dependent and spatially structured population dynamics problem. The birth process is nonlocal, and the demographic functions depends onExpand
Two-sex age structured dynamics in a fixed sex-ratio population
a b s t r a c t An age structured model is considered in order to analyze the growth of a two sex population with a fixed age-specific sex ratio. The model is intended to give an insight into theExpand
Local exact controllability of the age-dependent population dynamics with diffusion
We investigate the local exact controllability of a linear age and space population dynamics model where the birth process is nonlocal. The methods we use combine the Carleman estimates for theExpand
Exact null controllability of the Lobesia botrana model with diffusion
Abstract This paper is devoted to analyze the exact null controllability of the diffusive Lobesia botrana model with nonlocal boundary condition. We study the null controllability of butterflyExpand
Internal stabilizability for a reaction-diffusion problem modeling a predator-prey system
Abstract In this work we consider a 2 × 2 system of semilinear partial differential equations of parabolic-type describing interactions between a prey population and a predator population, featuringExpand
Analysis and Control of Age-Dependent Population Dynamics
This paper presents a meta-analysis of Age-Dependent Population Dynamics with Diffusion and its implications for Optimal Control of Population Dynamics and the Linear Heat Equation. Expand
Optimal control of harvesting for age-dependent predator-prey system
The existence and uniqueness of solution for the system are proven using the Banach fixed-point theorem and the maximum principle is obtained for small final time T. Expand