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IJSTR >> Volume 8 - Issue 8, August 2019 Edition



International Journal of Scientific & Technology Research  
International Journal of Scientific & Technology Research

Website: http://www.ijstr.org

ISSN 2277-8616



Mathematical Modeling On Successive Awareness Policies For Swine Flu

[Full Text]

 

AUTHOR(S)

Hema Purushwani, Poonam Sinha

 

KEYWORDS

Swine flu infection; SIR Model; Awareness Policies; Basic reproduction number; Stability and Sensitivity Analysis.

 

ABSTRACT

Awareness about hygiene conditions and vaccination are the highly beneficial techniques of preventing infection. Good hygiene conditions and only one dose of vaccine are not sufficient for permanent consequence hence booster programme are introduced. Diseases induced immunity has permanent effect whereas vaccine induced immunity has a temporary effect. A mathematical model has been proposed to study the influence of successive awareness policies for spread of swine flu infection. Basic reproduction number RBooster has been derived. It has been shown that the disease free equilibrium point is locally asymptotically stable, when RBooster<<1. Further, we have also observed that a unique endemic equilibrium point exists and is stable, when RBooster<>1. During numerical simulation, it has been pointed out that RBooster< ROnedose< RWithoutvaccine Rwithoutawareness i.e. booster vaccination programme are better than one-time vaccination programme. Sensitivity indices for basic reproduction number are measured to hint how the parameters should be managed to restrain severity and the level of the infection.

 

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