Work

Effective Reproduction number of Conjunctivitis Viral Disease

Year: 2026

Type: article

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

Source: Indian Journal of Science and Technology

DOI: 10.17485/ijst/v19i30.981

Authors: Vianney Mbazumutima, Charline Uwilingiyimana, Pascaline Nshimirimana, Heri Retnawati, Justin Rutikanga Ushize, Léonard Todjihounde

Institutions: École Normale Supérieure, INES-Ruhengeri, Yogyakarta State University, University of Rwanda, Institute of Mathematics and Physics

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

SDG: Good health and well-being

Open Access status: diamond

OpenAlex ID: W7203888600

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