Epidemiological Modelling of Yellow Fever Dynamics

Aims: Yellow fever is a severe and often fatal viral illness caused by the yellow fever virus Despite being largely overlooked, yellow fever continues to silently claim lives in many parts of the world. The study focuses on the epidemiological modelling of yellow fever dynamics between a host (human) and vector (mosquito) populations The human population was divided into five main compartments: Susceptible, Exposed, Infected, Isolated, and Recovered. The vector population was also divided into two compartments: Susceptible and Infected. Nonlinear differential equations describing these compartments were formulated. Stability analysis and numerical simulations were then performed based on the formulated equations.

From the stability analysis, it was observed that the disease-free equilibrium is both locally and globally asymptotically stable. Similarly, the endemic equilibrium was found to be locally and globally asymptotically stable. The simulation also revealed a direct correlation between the transmission rate and disease spread.