Work

Lie Symmetries and Solutions for a Reaction–Diffusion–Advection SIS Model with Demographic Effects

Year: 2024

Type: article

Abstract: A reaction–diffusion susceptible–infectious–susceptible disease model with advection, vital dynamics (birth–death effects), and a standard incidence infection mechanism is carefully analyzed. Two distinct diffusion coefficients for the susceptible and infected populations are considered. The Lie symmetries and closed-form solutions for the RDA–SIS disease model are established. The derived solution allows to study dynamics of disease transmission. Our simulation clearly illustrates the evolution dynamics of the model by using the values of parameters from academic sources. A sensitivity analysis is performed, offering valuable perspectives that could inform future disease management policies.

Source: Symmetry

DOI: 10.3390/sym17010003

Authors: Rehana Naz, Mariano Torrisi, Ayesha Imran

Institutions: Lahore School of Economics, University of Catania

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: gold

Estimated APC paid: $2,728

Funder: Istituto Nazionale di Alta Matematica "Francesco Severi"