A Deterministic Approach to Analyze COVID-19 Reinfection Using a Susceptible Vaccination Exposed Quarantine Asymptomatic Infectious Treatment and Recovered (SVEQAITR) Model
NWAGWU, GC *
Statistics Department, Kingsley Ozumba Mbadiwe University, Ideato, Imo State, Nigeria.
NWOBI, FN
Statistics Department, Imo State University, Owerri, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we present a mathematical model that incorporates Vaccination, Quarantine, and Treatment compartments into the Covid-19 reinfection model among human populations. Specifically, the model examines the impact of the disease on various population groups, including Susceptible (S), Vaccination (V), Exposed (E), Quarantine (Q), Asymptomatic infected (A), Symptomatic Infectious (I), Treatment (T), and Recovered (R) individuals. Emphasis is placed on the Positivity and Boundednes of solution of the developed SVEQAITR model. Differential equation method is used to systematically analyze the Covid-19 reinfection SVEQAITR model. Results obtained clearly shows that the dynamics of the population under study remains confined within the designated region, D. The non-negativity or Positivity solution also buttresses that the SVEQAITR model consists solely of positive values which affirms that we are dealing with human population.
Keywords: Covid-19, reinfection, mathematical model, epidemiology