Department of Physical Sciences (UIS), Sant Baba Bhag Singh University ,
JournalPIJST
Volume / Issue1 / 8
Pages6–17
Published31 Aug 2024
Paper IDPIJST18A24002
Views / Downloads1 / 0
Article summary
Abstract
: Epidemiological models play a crucial role in understanding the spread and control of infectious diseases. By employing mathematical techniques, such as stability and bifurcation analysis, researchers can gain insights into the dynamics of these models, predicting disease outbreaks and evaluating intervention strategies. This paper delves into the mathematical underpinnings of epidemiological models, focusing on classical frameworks like the SIR and SEIR models. Explore the significance of stability analysis in identifying equilibrium states and determining the conditions under which these states are stable or unstable. Bifurcation theory is also examined, highlighting its role in uncovering critical parameter thresholds where qualitative changes in disease dynamics occur. Through both analytical and numerical methods, analyze how variations in model parameters, such as transmission and recovery rates, can lead to different stability scenarios and bifurcation phenomena, such as saddle-node and Hopf bifurcations. Real-world case studies, including those from recent pandemics, are presented to demonstrate the practical applications of these mathematical techniques in predicting disease behavior and informing public health policies. Additionally, the paper discusses the challenges
Surjeet Kumar, Anju Sood (2024). Stability and Bifurcation Techniques for Analyzing Epidemiological Models. Procedure International Journal of Science and Technology, 1(8), 6–17. https://doi.org/10.62796/pijst.2024v1i8002
Surjeet Kumar, Anju Sood. “Stability and Bifurcation Techniques for Analyzing Epidemiological Models.” Procedure International Journal of Science and Technology, vol. 1, no. 8, 2024, pp. 6–17. https://doi.org/10.62796/pijst.2024v1i8002
Surjeet Kumar, Anju Sood. “Stability and Bifurcation Techniques for Analyzing Epidemiological Models.” Procedure International Journal of Science and Technology 1, no. 8 (2024): 6–17. https://doi.org/10.62796/pijst.2024v1i8002
Surjeet Kumar, Anju Sood (2024) ‘Stability and Bifurcation Techniques for Analyzing Epidemiological Models’, Procedure International Journal of Science and Technology, 1(8), pp. 6–17. Available at: https://doi.org/10.62796/pijst.2024v1i8002.
Surjeet Kumar, Anju Sood, “Stability and Bifurcation Techniques for Analyzing Epidemiological Models,” Procedure International Journal of Science and Technology, vol. 1, no. 8, pp. 6–17, 2024. https://doi.org/10.62796/pijst.2024v1i8002.
Surjeet Kumar, Anju Sood. Stability and Bifurcation Techniques for Analyzing Epidemiological Models. Procedure International Journal of Science and Technology. 2024;1(8):6–17. https://doi.org/10.62796/pijst.2024v1i8002.
Surjeet Kumar, Anju Sood. Stability and Bifurcation Techniques for Analyzing Epidemiological Models. Procedure International Journal of Science and Technology 2024, 1 (8), 6–17. https://doi.org/10.62796/pijst.2024v1i8002.
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