Effects of isolation by taking sick leaves of conjunctivitis infected individuals and treatment control on stability of mathematical modeling of conjunctivitis

Abstract

Conjunctivitis or pink eye is an inflammation of the conjunctiva which can cause the eye to become red. It can be found in patients of all ages and, in particular, half of them are young children and school age children. The disease is often found in rainy season and in tropical countries. For better understanding of conjunctivitis infection, in this study, we have constructed and analyzed mathematical model involving isolation by taking sick leaves of infected individuals. Both theoretical and numerical analysis is performed. In addition, the basic reproduction number, R₀, is calculated and used as the threshold to indicate model equilibrium points’ stability. Further, the model is extended to be optimal control model by adding the treatment control variable. The results suggest that isolation by taking sick leaves of infected individuals together with treatment control should be encouraged as strategy to reduce overall conjunctivitis patients.