MATHEMATICAL ANALYSIS OF SIR MODEL WITH INCUBATION PERIOD

The SIPmodel is a fundamental tool for simulating epidemic dynamics, but it has limitations in accurately representing real-world scenarios. This paper presents a comprehensive review and mathematical analysis of the SIR model when incorporating the incubation period of infectious diseases. We discuss the significance of the incubation period in disease transmission dynamics and explore the modifications made to the SIR model to integrate this parameter. By analyzing the mathematical equations governing the modified SIR model, we demonstrate its enhanced accuracy in predicting disease spread patterns and its implications for public health interventions. Our findings evaluated the importance of incorporating the incubation period into epidemic models.

Authors

Publication Details

Journal
Research Result Information Technologies
Published
2024-09-30
DOI
https://doi.org/10.18413/2518-1092-2024-9-3-0-1
Citations
2
Primary Topic
Multimedia Learning Systems
Type
article
Field-Weighted Citation Impact
1.56
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article

MATHEMATICAL ANALYSIS OF SIR MODEL WITH INCUBATION PERIOD

I. S. Konstantinov, A. Taha
2 citations
Research Result Information Technologies
Multimedia Learning Systems
1.56
article

MATHEMATICAL ANALYSIS OF SIR MODEL WITH INCUBATION PERIOD

I. S. Konstantinov, A. Taha
article en
2 citations

Abstract

The SIPmodel is a fundamental tool for simulating epidemic dynamics, but it has limitations in accurately representing real-world scenarios. This paper presents a comprehensive review and mathematical analysis of the SIR model when incorporating the incubation period of infectious diseases. We discuss the significance of the incubation period in disease transmission dynamics and explore the modifications made to the SIR model to integrate this parameter. By analyzing the mathematical equations governing the modified SIR model, we demonstrate its enhanced accuracy in predicting disease spread patterns and its implications for public health interventions. Our findings evaluated the importance of incorporating the incubation period into epidemic models.

Research Result Information TechnologiesVol. 9(3)
Good health and well-being
Openalex Percentile: Top 12%
Multimedia Learning Systems
1.56
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