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Stability Analysis of an SIR Infectious Disease Model

EZEKIEL, I. D. and Iyase, S.A . and Anake, T. A. (2022) Stability Analysis of an SIR Infectious Disease Model. In: ICORTAR, 2022, Online.

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The paper investigates the stability of the SIR mathematical model of transmission of an infectious disease with delay. First, the study investigates local stability of the positive steady state of an infectious disease model by analyzing the linearised system where more general stability criteria with delay and model parameters are obtained. Secondly, the study shows that the model exhibits Hopf bifurcation on choosing the delay as a bifurcation parameter. Conditions for existence of qualitative behaviour for positive steady state are identified. Finally, numerical simulation of results and biological interpretations were verified using MATLAB software for the delay model. The study supplements theoretical improvement to earlier results obtained in the literature.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Characteristic equation, Differential equations, Hopf bifurcation, Reliable Jacobian Matrix, Stability analysis
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: Patricia Nwokealisi
Date Deposited: 23 May 2022 12:10
Last Modified: 10 Jun 2024 12:54

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