Mathematical analysis of a MERS-Cov coronavirus model

Abstract

In this study, we have proposed a mathematical model to describe the dynamics of the spread of Middle East Respiratory Syndrome disease. The model consists of six-coupled ordinary differential equations. The existence of the corona-free equilibrium and endemic equilibrium points has been proved. The threshold condition for which the disease will die out or becomes permanent has been computed. That is the corona-free equilibrium point is locally asymptotically stable whenever the reproduction number is less than unity, and it is globally asymptotically stable (GAS) whenever the reproduction number is greater than unity. Moreover, we have proved that the endemic equilibrium point is GAS whenever the reproduction number is greater than unity. The results of the model analysis have been illustrated by numerical simulations.

Mathematical and Computer Models of the Covid-19 Epidemic

“…The article [17] examines the SEIAR (Susceptible, Exposed, Infected, Symptomatic, Asymptomatically Infected and Recovered) COVID-19 infection model with a constant advection rate for disease spread. In [18] proposed a mathematical model to describe the dynamics of the spread of the Middle East respiratory syndrome.…”

Dynamic analysis of major public health emergency transmission considering the dual-layer coupling of community–resident complex networks

“…Researchers have expanded on this for diseases such as Ebola, MERS and COVID-19, achieving valuable results in transmission analysis, prevention strategy effectiveness and basic reproduction number calculations. [13][14][15][16][17] Research based on compartmental models typically assumes uniform mixing networks, overlooking the impact of local contacts on disease spread, a premise inconsistent with reality. [18,19] The evolution of complex network science offers new perspectives and approaches for studying pandemic transmission mechanisms.…”