Work

Positivity and equilibrium in a fractional SIR model with Mittag-Leffler memory

Year: 2024

Type: article

Abstract: We present two slightly different constructions of a SIR model in which both the time taken to remove the individual from the infectious compartment and the infectivity have a memory according to Mittag-Leffler distributions. The second construction clearly points out where the proposed generalizations are acting, starting from the classic SIR model. Using integrodifferential techniques, we state and demonstrate novel analytically results on positivity, monotonicity in limiting case, and equilibrium points. The results are also verified numerically.

Source: Trends in Computational and Applied Mathematics

DOI: 10.5540/tcam.2024.025.e01789

Authors: N. Zeraick Monteiro, S. Rodrigues Mazorche, R. Weber dos Santos

Institution: Universidade Federal de Juiz de Fora

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: diamond

OpenAlex ID: W4407084278

FWCI: 0.384

Cites:

Cited by: 1

Related to: 10