COVID-19 Mathematical Study with Environmental Reservoir and Three General Functions for Transmissions

Authors

Shaimaa A. Azoz, Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, EgyptFollow
K. M. Abdelhakim, Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, EgyptFollow
Fatma Hussien, Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, EgyptFollow

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 and 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 differential equations. Under a set of conditions on the general functions and the parameters, we have proven the global asymptotic stability of all steady states by using the Lyapunov method and LaSalle’s invariance principle. We also carried some numerical results to confirm the analytical results we obtained.

Recommended Citation

A. Azoz, Shaimaa; M. Abdelhakim, K.; and Hussien, Fatma (2023) "COVID-19 Mathematical Study with Environmental Reservoir and Three General Functions for Transmissions," Information Sciences Letters: Vol. 12 : Iss. 2 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol12/iss2/58