COVID-19 Mathematical Study with Environmental Reservoirs and Three
General Functions for Transmissions
Abstract
In this paper, the ongoing new coronavirus (COVID-19) epidemic is being
investigated using a mathematical model. The model depicts the dynamics
of infection with several transmission pathways given by general
infection functions plus it highlights the significance of the
environment as a reservoir for the disease’s propagation and
dissemination. We have studied the qualitative behavior of the proposed
model representing a system of fractional order differential equations.
Under a set of conditions on the general functions and the parameters,
we have proven the global asymptotic stability of all equilibria by
using the Lyapunov method and LaSalle’s invariance principle. We also
carried numerical results using real-world data to confirm the
analytical results we obtained.