Work

Impact of the diffusion coefficient and non-linear incidence rate on the dynamics of the SIR model

Year: 2025

Type: article

Abstract: This paper proposes a susceptible-infected-–infected–recovered SIR- mathematical model with diffusion coefficient. Nonlinear incidence and treatment rates are employed to control infectious diseases and epidemics. For the study, the treatment rate is regarded as Holling type $II$ function, while the infection incidence rate is viewed as Crowley–Martin type function. A detailed mathematical analysis is carried out that includes non-negativity and existence of solution, existence of both type disease free and endemic equilibrium points. Further, stability analysis at equilibrium points is performed. Additionally, the numerical simulation is conducted and graphical representations are displayed. The results show the impact of diffusion coefficients and non-linear incident and recovery rate on susceptible, infected and recovered populations.

Source: Boletim da Sociedade Paranaense de Matemática

DOI: 10.5269/bspm.75426

Authors: Malik Kuldeep, Goswami, Yadav Vikas

Institutions: Ambedkar University Delhi, Vivekananda Global University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

SDG: Good health and well-being

Open Access status: diamond

OpenAlex ID: W4412072877

FWCI:

Cites: 30

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Related to: 10