QUALITATIVE PROPERTIES OF A POPULATION DYNAMICS SYSTEM DESCRIBING PREGNANCY-Reference-Cited by-同舟云学术

QUALITATIVE PROPERTIES OF A POPULATION DYNAMICS SYSTEM DESCRIBING PREGNANCY

Published:2005-04 Issue:04 Volume:15 Page:507-554
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

FRAGNELLI G.¹,MARTINEZ P.²,VANCOSTENOBLE J.²

Affiliation:

1. Dipartimento di Matematica, Università di Roma "Tor Vergata", Via della Ricerca Scientifica, 00133 Roma, Italy

2. Laboratoire M.I.P., U.M.R. C.N.R.S. 5640, Université Paul Sabatier Toulouse III, 118 route de Narbonne, 31 062 Toulouse Cedex 4, France

Abstract

We study a model of population dynamics describing pregnancy: our model is composed by an equation describing the evolution of the total population, and an equation describing the evolution of pregnant individuals. These equations are of course coupled: one coupling expresses that the total population varies with the number of born people, and another coupling says that the number of fecundated individuals depends on the total population. We study three models of that type: a linear model without diffusion, a nonlinear model without diffusion and a linear model with diffusion. For these three models, we study precisely the qualitative properties and the asymptotic behavior of the solutions.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202505000455

Reference22 articles.

1. Analysis and Control of Age-Dependent Population Dynamics

2. Vector-valued Laplace Transforms and Cauchy Problems

3. PFDE with nonautonomous past

4. Population Control in Arctic Ground Squirrels

Cited by 10 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Null controllability of a retarded population dynamics model with interior degeneracy;Mathematical Methods in the Applied Sciences;2023-07-26

2. Null controllability of a coupled model in population dynamics;Mathematica Bohemica;2022-08-04

3. Null Controllability of a Degenerate Cascade Model in Population Dynamics;STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health;2021

4. Null controllability for a degenerate population model in divergence form via Carleman estimates;Advances in Nonlinear Analysis;2019-10-15

5. Carleman estimates and null controllability for a degenerate population model;Journal de Mathématiques Pures et Appliquées;2018-07