Durgesh Sinha1, 3, 4 and Bimal Kumar Mishra1, 2
1Temple University, USA
2Birla Institute of Technology, India
3Mercer County Community College, USA
4Strayer University, USA
Title: Mathematics of avian influenza spread in human population
Biography
Biography: Durgesh Sinha1, 3, 4 and Bimal Kumar Mishra1, 2
Abstract
Avian 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 Rh0 and Rb0 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 Rh0<1 and Rb0<1. We also prove that the unique endemic equilibrium point is globally asymptotically stable in bird population when Rb0>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.
