| Issue |
Math. Model. Nat. Phenom.
Volume 13, Number 3, 2018
Modelling in Ecology, Epidemiology and Evolution
|
|
|---|---|---|
| Article Number | 27 | |
| Number of page(s) | 20 | |
| DOI | https://doi.org/10.1051/mmnp/2018035 | |
| Published online | 28 May 2018 | |
An economic-demographic dynamical system
1
Department of Mathematics, University of Leicester,
Leicester
LE1 7RH, UK.
2
Université de Lyon, Université Lyon1, CNRS UMR 5208, Institut Camille Jordan,
69200
Villeurbanne Cedex, France.
* Corresponding author: az110@le.ac.uk
Received:
8
March
2018
Accepted:
9
March
2018
Human population growth has been called the biggest issue the humanity faces in the 21st century, and although this statement is globally true, locally, many Western economies have been experiencing population decline. Europe is in fact homeland for population decline. By 2050 many large European economies are predicted to lose large parts of their population. In this work, we consider the dynamical system that corresponds to the model introduced by Volpert et al. [Nonlinear Anal. 159 (2017) 408–423]. With the help of this model, we illustrate scenarios that can lead, in the long-run, to sharp population decline and/or deterioration of the economy. We also illustrate that even when under certain conditions the population will go extinct, temporarily it might experience growth.
Mathematics Subject Classification: 35Q91 / 35Q92 / 91D20
Key words: Dynamical system / economic-demographic model
© EDP Sciences, 2018
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