Work

Dynamics of an Infectious Disease Model with Transmission Delay from Recovery to Susceptibility

Year: 2024

Type: article

Abstract: In this study, an extended SIR model with vaccination and treatment is considered by introducing a delay in the transition from the recovered class back to the susceptible class. This delay reflects the time it takes for individuals to lose immunity after recovery or vaccination. To understand the dynamics of the disease, both local and global stability of the equilibrium points are analyzed. Local stability conditions are derived using the basic reproduction number and characteristic equations, while global stability is established through Lyapunov’s method. A numerical example is included to demonstrate how different values of the delay affect the system.

Source: Communications on Applied Nonlinear Analysis

DOI: 10.52783/cana.v31.5899

Author: G. Shailaja

Institution: Jawaharlal Nehru Technological University, Hyderabad

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: W4412823797

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