Effective Reproduction number of Conjunctivitis Viral Disease

Abstract

Objectives: In this study, an SEIR mathematical model of conjunctivitis viral disease is formulated to analyze the effects of the control measures including social distancing and treatment. Method: The basic reproduction number is computed using the next generation matrix method while the effective reproduction number is calculated for the controlled model. Numerical simulations were used to evaluate the effects of control measures on the model. Findings: The results show that the disease can be eradicated by combining simultaneously social distancing and treatment at specific levels. Novelty: An expression for the effective reproduction number related to conjunctivitis viral disease is determined, and control measures level are used to estimate intervention levels that minimize conjunctivitis disease transmission. Keywords: Conjunctivitis, Effective reproduction number, Social distancing, Treatment, Heat map