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Volume 4, Issue 4(Suppl)
J Infect Dis Ther 2016
ISSN: 2332-0877, JIDT an open access journal
Page 41
Notes:
Infectious Diseases 2016
August 24-26, 2016
conferenceseries
.com
August 24-26, 2016 Philadelphia, USA
&
Infectious Diseases
Joint Event on
2
nd
World Congress on
Pediatric Care & Pediatric Infectious Diseases
International Conference on
Mathematics of avian influenza spread in human population
Durgesh Sinha
1, 3, 4
and
Bimal Kumar Mishra
1, 2
1
Temple University, USA
2
Birla Institute of Technology, India
3
Mercer County Community College, USA
4
Strayer University, USA
A
vian influenza virus poses risks to both bird and human population. In primary strain, mutation increases the infectiousness of
avian influenza. A mathematical model of avian influenza for both human and bird population is formulated. We have computed
the basic reproduction number R
h
0
and R
b
0
for both human and bird population respectively and we prove that the model is locally
and globally asymptotically stable for disease-free equilibrium point when R
h
0
<1 and R
b
0
<1. We also prove that the unique endemic
equilibrium point is globally asymptotically stable in bird population when R
b
0
>1. Extensive numerical simulations and sensitivity
analysis for various parameters of the model are carried out. The effect of vaccination and quarantined class with recovered class are
critically analyzed.
Biography
Durgesh Sinha is an Adjunct Assistant Professor at five institutions; Temple University, Strayer University, Rowan College at Burlington County, Mercer County Community
College and Community College of Philadelphia. She has received her Doctorate degree in Applied Mathematics from Vinoba Bhave University, India and Master’s degree
in Environmental Engineering from Temple University, USA. Her recent publication is “Hydro-magnetic flow of rarefied gas between two parallel flat plates with external
circuit, 1999” and “Delayed epidemic model on the attack of Computer virus in network” communicated to
IJITCS
. Her current research interest is on epidemic model
applicable in human life, environment and cybercrime.
durgesh.sinha4@gmail.comDurgesh Sinha et al., J Infect Dis Ther 2016, 4:4(Suppl)
http://dx.doi.org/10.4172/2332-0877.C1.008