Mathematical Modeling on Yellow Fever with Effect of Awareness Through Media

P. Kalra,I. Ratti

Published 2022 in Journal of Physics: Conference Series

ABSTRACT

A non linear mathematical model for yellow fever is formulated and analyzed to assess the impact of awareness programmes in the disease transmission. Awareness in humans/host about yellow fever (YF) can help slow down the dynamics of the disease. These programmes may induce changes in behavior of people helping them make a new class named aware class. Control measures are being included in the vector system to inhibit their growth. Stability conditions for disease free equilibrium are calculated. Basic reproduction number is calculated to see the disease dynamics. Through model analysis, it was revealed that these awareness programmes have high impact on the spread of disease. The control on vector population also help disease invasion difficult. Numerical simulation is done to illustrate the effect of above control measures.

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