Stability Analysis of the Impact of Vaccination on Swine Flu Transmission: A Mathematical Model
DOI:
https://doi.org/10.31305/rrijm.2022.v07.i06.022Keywords:
Swine-Flu model, Vaccination, Basic reproduction number, Equilibria, Stability, Sensitivity analysis, SimulationAbstract
To determine how vaccination affects the spread of swine flu, this study develops and analyses a deterministic model of the disease. The parameters of the model pertaining to the swine flu are thoroughly examined. After determining the model's equilibrium and threshold points, an examination of its stabilities is conducted. Global stability of the swine flu-free equilibrium has been demonstrated. Local stability of endemic equilibrium is established using centre manifold theory; global stability is demonstrated via the Lyapunov function. A numerical simulation reveals that members of the population of an unvaccinated society are susceptible to contracting swine flu. The outcome indicates that immunisation should be promoted in order to diminish the disease's vitality.
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This is an open access article under the CC BY-NC-ND license Creative Commons Attribution-Noncommercial 4.0 International (CC BY-NC 4.0).