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A Study on Epidemic Model

Author(s):
M. Marieswari , SRI KRISHNA ARTS AND SCIENCE COLLEGE, COIMBATORE; K. Umamaheswari, SRI KRISHNA ARTS AND SCIENCE COLLEGE, COIMBATORE; R. Aruna, SRI KRISHNA ARTS AND SCIENCE COLLEGE, COIMBATORE; R. Srikirithiga, SRI KRISHNA ARTS AND SCIENCE COLLEGE, COIMBATORE; J. Sruthi, SRI KRISHNA ARTS AND SCIENCE COLLEGE, COIMBATORE

Keywords:
Epidemic Models, Indirect Transmission, Virus Shedding

Abstract

In this paper, we consider an epidemic model in which all disease transmission is through shedding of virus by infectives and acquisition by susceptibles, rather than by direct contact. This leads to a susceptible-infectious-virus-removed (SIVR) model for which we can determine the basic reproduction number and the final size relation. We extend the model to an age of infection model with virus shedding a function of the age of infection.

Other Details
Paper ID: IJSRDV5I120120
Published in: Volume : 5, Issue : 12
Publication Date: 01/03/2018
Page(s): 97-99

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