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Publisher's Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations
- Publisher
- Springer Journals
- Copyright
- Copyright © The Author(s) under exclusive license to Università degli Studi di Ferrara 2022
- ISSN
- 0430-3202
- eISSN
- 1827-1510
- DOI
- 10.1007/s11565-022-00399-5
- Publisher site
- See Article on Publisher Site
Abstract
Emerging infectious diseases pose serious threat to human population. Studies suggest that there is correlation between population’s pollution status and emerging infectious diseases. We propose a delayed SIS model to examine the effects of environmental contamination on human health, which can lead to the spread of numerous diseases. A threshold parameter called basic reproduction number has been obtained for the system. Within the sight of time delay, stability analysis for equilibrium points has been obtained. The existence of Hopf bifurcation around endemic equilibrium point pertaining to time delay as a critical parameter is observed. Our study suggests that pollution can have detrimental effects on the spread of disease. Analytical results are supported by numerical simulations.
Journal
ANNALI DELL UNIVERSITA DI FERRARA – Springer Journals
Published: May 1, 2023
Keywords: SIS model; Infectious disease; Time delay; Basic reproduction number; Hopf-bifurcation; Stability analysis; 34D20; 92B05; 92D25