Local Stability Analysis of Mathematical Model for Hemorrhagic Conjunctivitis Disease
Article Sidebar
Main Article Content
Abstract
Conjunctivitis is inflammation of the conjunctiva. It is commonly caused by bacteria and viruses. Allergic Conjunctivitis is distinguished by severe itching and allergen exposure. It is most commonly due to an infection or an allergic reaction. In this study, we analyzed the model for the spread of Hemorrhagic Conjunctivitis. Hemorrhagic Conjunctivitis caused by some bacteria and viruses. It can spread easily from person to person. In this model, we separate the human into susceptible, latent, infectious and recovered classes. We find the conditions for the existence of endemic and disease free equilibrium states. Also, basic reproductive number (R0), the number of secondary cases that one infected individual will cause through the duration of the infectious period, is defined and shown for qualitative behavior of the model. Numerical simulations of the model are shown by solving a system of differential equations. It shows that the endemic and disease free equilibrium are unique and stable.
Keywords: Mathematical model, Hemorrhagic Conjunctivitis disease, equilibrium states, basic reproductive number.
E-mail: kppuntan@kmitl.ac.th
Article Details
Copyright Agreement Statement
The corresponding author has to submit Copyright Agreement form after the article is accepted for publication in order to warrant that this contribution is original and that he/she has full power to make this grant. The author signs for and accepts responsibility for releasing this material on behalf of any and all co-authors.
The author(s) grant Current Applied Science and Technology a non-exclusive, irrevocable, royalty-free license to publish, reproduce, distribute, and archive the article in print and electronic form with effect if and when the article is accepted for publication. In the event that the article is withdrawn prior to acceptance or is declined, this agreement shall have no effect, and no party shall be bound by it.
The author(s) retain copyright of this article, including but not limited to the right to reproduce and distribute the article, to include it in a thesis or book, and to post it on an institutional or personal repository, provided that the original publication in Current Applied Science and Technology is properly cited.
References
[2] S. Kunawisarut, 2012. hemorrhagic conjunctivitis. [online] Available at: http://haamor.com/knowledge
[3] chulalongkornhospital, 2012. viral conjunctivitis. [online] Available at: http://www.chulalongkornhospital.go.th.
[4] G. Chowell, E. Shim, F. Brauer, P. Diaz-Dueňas, J. M. Hyman1 and C. Castillo - Chavez, 2005. “Modelling the transmission dynamics of acute haemorrhagic conjunctivitis: Application to the 2003 outbreak in Mexico.” Wiley Online Library [On-line serial]. Available: DOI: 10.1002/sim.2352.
[5] Bureau of Epidemiological, 1997-2011. Acute Hemorrhagic Conjonctivites. [online] Available at: http://www.boe.moph.go.th.
[6] Bureau of Epidemiology, Ministry of Public Health, Thailand, 1997-2010. Annual Epidemiological Surveillance Report 1997-2010. Nonthaburi.
[7] Robert, M. May, Thailand, 1973. Stability and complexity in model ecosystem. United States of America: Princeton University Press.
