Mathematical Modelling And Analysis Of Influenza (H5N1)

In this study, we introduce a continuous MSEIHR model and explore its dynamic behavior and fundamental properties. Using Lyapunov functions and the Routh-Hurwitz conditions, we perform a stability analysis of the model. Our results confirm that when the basic reproduction ratio R0 < 1, the system is both globally and locally stable at the disease-free equilibria Eef . Reciprocally, when R0 > 1, an endemic equilibria Eeq emerges, and the system stabilizes at this equilibria. Additionally, we analyze the MSEIHR sensitivity to get the parameters with the most substantial influence on R0. Finally, we validate our theoretical findings with numerical simulations using Matlab.