research-article

Dynamic behaviors of SIR and SIRS model

Authors:

Huawei Zhang,

Xinhui ShenAuthors Info & Claims

ISAIMS '21: Proceedings of the 2nd International Symposium on Artificial Intelligence for Medicine Sciences

Pages 540 - 544

https://doi.org/10.1145/3500931.3501023

Published: 22 December 2021 Publication History

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Abstract

In this paper, the author investigate SIR and SIRS model, detailly explained how this model work, reader can easily understand because the author use a flowchart in this compartmental model. We also discuss the equilibrium points of systems of ordinary differential equations and the way of proven. Moreover, we introduce to two types of reproduction number and their behaviors. Furthermore, we extend the linear and nonlinear incidence rate in SIRS model and illustrate the equilibrium points and Stability to the SIRS model.

References

[1]

Last JM. A dictionary of epidemiology, 4th ed. New York: Oxford U. Press; 2001

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[2]

"Principles of Epidemiology - Lesson 3 - Section 2". Centers for Disease Control and Prevention. 2012-05-18. Retrieved 2021-01-13.

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[3]

"Nonlinear and Predictive Control". Engineering Tripos Part IIB. Module 4F3

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[4]

Li Junhong, and Ning Cui. "Dynamic behavior for an SIRS model with nonlinear incidence rate and treatment." The Scientific World Journal 2013(2013)

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Index Terms

Dynamic behaviors of SIR and SIRS model
1. Applied computing
  1. Life and medical sciences
    1. Bioinformatics

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ISAIMS '21: Proceedings of the 2nd International Symposium on Artificial Intelligence for Medicine Sciences

October 2021

593 pages

ISBN:9781450395588

DOI:10.1145/3500931

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 22 December 2021

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ISAIMS 2021

ISAIMS 2021: 2nd International Symposium on Artificial Intelligence for Medicine Sciences

October 29 - 31, 2021

Beijing, China

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Overall Acceptance Rate 53 of 112 submissions, 47%

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Abstract

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Recommendations

Application of SIR Model on Bank Risk Contagion

Numerical modelling of an SIR epidemic model with diffusion

An unconditionally convergent finite-difference scheme for the SIR model

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