Media and psychological effect on the transmissibility of the new
coronavirus (SARS-CoV2) using the Rach-Adomian-Meyers decomposition
method with non-linear incidence rates
Abstract
In recent decades, the world has experienced several emerging virus
outbreaks, among which the most recent compromise the respiratory system
and are caused by the SARS-CoV2 coronavirus, H1N1, H5N1 viruses, and the
H7N9 virus of the severe acute respiratory syndrome (SARS). In this
article, we present epidemiological dynamics based on a SIR-type model
with nonlinear incidence rates that reflect the impact of the media and
the psychological effects on the spread of the disease. The mathematical
model of the problem corresponds to a three-dimensional non-linear ODE
system. The Rach-Adomian-Meyers (MDM) decomposition method is used to
compute an approximation to the solution of the governing system of
non-linear differential equations. The present proposed approach is
based on dividing the entire domain into subintervals. In each
subinterval, the 12-term MDM solution is sufficient to obtain fairly
accurate and convergent results.