A new model to study on physical behaviour among susceptible infective removal population

Azizur Rahman, Abdul Kuddus

Research output: Contribution to journalArticle

Abstract

Abstract:This paper is concerned about developing a susceptible-infected-removed (SIR) epidemic model and to test itsâ' various effects in studying a population for evaluation of policies such as disease prevention, preparedness and response strategy to control the spread of disease. The SIR model has been divided into three disjoint groups of susceptible, infected and recovered populations and expressed by the differential equations. The theoretical solutions of these equations are determined with empirical results. Findings reveal that there exists a large class of functions representing interaction between susceptible and infective populations for which the model shows a very realistic behaviour. The rate of change of removal population follows a fairly skewed t-distribution pattern with a very rapid increase to the peak, but a slightly slower decreasing trend toward the right. An application of the model is also offered to assess the control of typhoid epidemic by vaccination.
Original languageEnglish
Pages (from-to)115-135
Number of pages21
JournalFar East Journal of Theoretical Statistics
Volume46
Issue number2
Publication statusPublished - 2014

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title = "A new model to study on physical behaviour among susceptible infective removal population",
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A new model to study on physical behaviour among susceptible infective removal population. / Rahman, Azizur; Kuddus, Abdul.

In: Far East Journal of Theoretical Statistics, Vol. 46, No. 2, 2014, p. 115-135.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A new model to study on physical behaviour among susceptible infective removal population

AU - Rahman, Azizur

AU - Kuddus, Abdul

N1 - Imported at 13:09 on 29 Mar 2017 (journal article sample for testing) - DigiTool details were: Journal title (773t) = Far East Journal of Theoretical Statistics. ISSNs: 0972-0863;

PY - 2014

Y1 - 2014

N2 - Abstract:This paper is concerned about developing a susceptible-infected-removed (SIR) epidemic model and to test itsâ' various effects in studying a population for evaluation of policies such as disease prevention, preparedness and response strategy to control the spread of disease. The SIR model has been divided into three disjoint groups of susceptible, infected and recovered populations and expressed by the differential equations. The theoretical solutions of these equations are determined with empirical results. Findings reveal that there exists a large class of functions representing interaction between susceptible and infective populations for which the model shows a very realistic behaviour. The rate of change of removal population follows a fairly skewed t-distribution pattern with a very rapid increase to the peak, but a slightly slower decreasing trend toward the right. An application of the model is also offered to assess the control of typhoid epidemic by vaccination.

AB - Abstract:This paper is concerned about developing a susceptible-infected-removed (SIR) epidemic model and to test itsâ' various effects in studying a population for evaluation of policies such as disease prevention, preparedness and response strategy to control the spread of disease. The SIR model has been divided into three disjoint groups of susceptible, infected and recovered populations and expressed by the differential equations. The theoretical solutions of these equations are determined with empirical results. Findings reveal that there exists a large class of functions representing interaction between susceptible and infective populations for which the model shows a very realistic behaviour. The rate of change of removal population follows a fairly skewed t-distribution pattern with a very rapid increase to the peak, but a slightly slower decreasing trend toward the right. An application of the model is also offered to assess the control of typhoid epidemic by vaccination.

KW - Control of disease, reproduction number, SIR model, typhoid epidemic.

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