A S.E.I.R. MATHEMATICAL MODEL OF SAR-COV-2

ECSU Author/Contributor (non-ECSU co-authors, if there are any, appear on document)
HOPE EPPES, student (Creator)
Institution
Elizabeth City State University (ECSU )
Web Site: https://www.ecsu.edu/academics/library/index.html

Abstract: Coronaviruses are named for the crown-like spikes on their surface. Human coronaviruses were first identifi ed in the mid-1960s. The well-known coronaviruses that can infect people are: MERS-CoV (Middle East Respiratory Syndrome, or MERS), SARS-CoV (severe acute respiratory syndrome, or SARS), and the topic of this paper SARS-CoV-2 (the novel coronavirus that causes coronavirus disease 2019, or COVID-19). COVID-19 is the disease caused by the new coronavirus that emerged in China in December 2019. The most common symptoms of COVID-19 include cough, fever or chills, shortness of breath or difficulty breathing, muscle or body aches, sore throat, the new loss of taste or smell, diarrhea, headache, new fatigue, nausea or vomiting, and congestion or runny nose. A compartmental model was developed to describe the interactions among at-risk individuals, infected individuals, and those who are in treatment or recovered. Because of the demographics of the groups affected by this epidemic, the model also considered social factor that might alleviate the spread of the disease. The basic reproduction number was determined and revealed the condition for the stability of the Conoravirus free equilibrium. Stability analysis and numerical simulations were carried out to study the impact of the social factors to the epidemic.

Additional Information

Publication
Dissertation
Language: English
Date: 2021
Keywords
COVID-19, coronavirus, social factors, stability analysis, numerical simulations

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