%0 Journal Article
%T Mathematical Modelling of Conjunctivitis Viral Disease: Case of Burundi
%A Vianney Mbazumutima
%A Pascaline Nshimirimana
%A Andr&#233
%A Dembele
%A Fabiola Ndayiragije
%A L&#233
%A onard Todjihounde
%J Open Journal of Applied Sciences
%P 1366-1377
%@ 2165-3925
%D 2025
%I Scientific Research Publishing
%R 10.4236/ojapps.2025.155096
%X In this paper, an SEIR mathematical model of conjunctivitis viral disease is formulated. The disease free equilibrium (DFE) and the endemic equilibrium points are investigated. The basic reproduction number is computed using the next generation matrix method and the local stability of the disease free equilibrium is investigated. This threshold characterizes the growth rate of an epidemic outbreak and shows that if <math xmlns='http://www.w3.org/1998/Math/MathML'>
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 the DFE is locally stable and unstable when <math xmlns='http://www.w3.org/1998/Math/MathML'>
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. We analyze the sensitivity of the model according to its different parameters. Numerical simulations were performed using the defined parameters to support the theoretical results and compared to one from the real data. The results show the suitability of the chosen model of conjunctivitis viral disease that occurred in Burundi for the investigated period of one month.
%K Conjunctivitis
%K Basic Reproduction Number
%K Sensitivity Index
%K Ruth-Hurwitz Criteria
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=142887