Work

Stability analysis of an SIR model with immunity and modified transmission function

Year: 2015

Type: article

Abstract: This paper examines an SIR epidemic model with a non-monotonic incidence rate. We analyzed the model by considering after infection, only a fraction of transmitted part is shifted to infectious and remaining part gets recovered without becoming infectious. We also analyze the dynamical behavior of the model and derive the stability conditions for the disease-free and the endemic equilibrium. We have found a threshold condition, in terms of basic reproduction number which is, less than one, the disease free equilibrium is globally attractive and if more than one, the endemic equilibrium exists and is globally stable. We illustrate theoretical results by carrying numerical simulation.

Source: International Journal of Applied Mathematical Research

DOI: 10.14419/ijamr.v4i2.4257

Authors: Nidhi Nirwani, V.H. Badshah, R. Khandelwal

Institution: Vikram University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

SDG: Good health and well-being

Open Access status: diamond

OpenAlex ID: W1986164658

FWCI: 0.376

Cites: 19

Cited by: 1

Related to: 10