Pediatric Care & Pediatric Infectious Diseases

Biography

Biography: Durgesh Sinha

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 R^h₀ and R^b₀ 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^h₀<1 and R^b₀<1. We also prove that the unique endemic equilibrium point is globally asymptotically stable in bird population when R^b₀>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.