Dynamical Analysis of a Deterministic Bird-Human Avian Influenza Model

Abstract

This article presents a transmission dynamics model and management of avian influenza.  In order to analyze the effectiveness of this viral disease, that do occur from animal to human, vaccine, treatment and quarantine were used as intervention strategies. The qualitative properties of the model were examined with appropriate techniques using the Jacobian determinant, and the effective and basic reproductive ratios were computed using the next generation matrix. The bird population was classified into four groups, whereas there were seven divisions for people. To comprehend pandemic phenomena and how to regulate them, the dynamics of the model were examined. When effectively , the local stability analysis findings revealed that the DFE is locally asymptotically stable. The model, when simulated on different sets of parameter values, demonstrates that using the three controls together reduces the infection better    than using either one or a pair of the controls