Global Stability Analysis of Avian Influenza Model
Journal Title: JOURNAL OF BIOLOGICAL ENGINEERING RESEARCH AND REVIEW - Year 2018, Vol 5, Issue 2
Abstract
A mathematical model of Avian Influenza for both human and bird population is formulated. The basic reproduction number R_0^h and R_0^b for both human and bird population respectively is calculated and we prove that the dynamical system is both locally and globally asymptotically stable for disease-free equilibrium point when R_0^h<1 and R_0^b<1. We also prove that the unique endemic equilibrium point is globally asymptotically stable in bird population when R_0^b>1. Extensive numerical simulations and sensitivity analysis for various parameters of the model are carried out. The effect of Vaccination and Quarantined on Recovered class is critically analyzed.
Authors and Affiliations
Buddhadeo Mahato, Bimal Kumar Mishra, Binay Kumar Mishra
Keywords
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