Dynamical analysis of an OLG model with interacting epidemiological and environmental domains

Fausto Cavalli, Ahmad Naimzada and Daniela Visetti

No 555, Working Papers from University of Milano-Bicocca, Department of Economics

Abstract: We study a model encompassing economic, epidemiological and environmental domains, which feature reciprocal interactions. The economy is described by an overlapping generations model in which productivity and agents’ preferences are affected by the epidemiological situation. The evolution of an epidemic is represented through a susceptible-infected-susceptible model, in which the disease spread depends on the pollution level and can be reduced through the government expenditure. The pollution level increases during the production process and can be reduced by allocating resources to its abatement. Resources are collected through the capital taxation and the regulator must decide how to share them between healthcare and environmental protection. For the resulting model, we show the possible existence of a unique steady state, either characterized by the presence of epidemics or disease-free. We study its comparative statics depending on the policy parameter regulating the share of resources that is devoted to improve the epidemiological situation with respect to the environmental one. We investigate the emergence of dynamics non convergent toward the equilibrium, with possible complex and quasi-periodic trajectories.

Keywords: OLG model; Epidemiological and environmental domains; Dynamical analysis; Bifurcations. (search for similar items in EconPapers)
JEL-codes: C61 O11 Q56 (search for similar items in EconPapers)
Pages: 28
Date: 2025-06
New Economics Papers: this item is included in nep-dge
References: Add references at CitEc
Citations:

Downloads: (external link)
http://repec.dems.unimib.it/repec/pdf/mibwpaper555.pdf (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:mib:wpaper:555

Access Statistics for this paper

More papers in Working Papers from University of Milano-Bicocca, Department of Economics Contact information at EDIRC.
Bibliographic data for series maintained by Matteo Pelagatti ().