A Mathematical model for the Campaign Prevent on the Transmission of Patients with Conjunctivitis

Main Article Content

Anuwat Jirawattanapanit

Abstract

                The objective of this research is to develop and evaluate stability of mathematical modeling for the Campaign Prevent on the Transmission of Patients with Conjunctivitis. The model is analyzed using standard methods, the Equilibrium Point, stability of the Equilibrium Points and analytic solutions. The rate of campaign to prevent the spread of conjunctivitis ( ) in mathematical modeling and numerical solutions is studied.


                The analysis model found that the stability of Equilibrium Points when the rate of campaign to prevent the spread of conjunctivitis =0.4, have basic reproductive number =0.948488452, and the rate of campaign to prevent the spread of conjunctivitis =0, the disease endemic equilibrium


=1.224493327. The rate of campaign to prevent the spread of conjunctivitis. is the factor affecting to the mathematical modeling. If the risk of infection’s population has campaign to prevent the spread of conjunctivitis and follow hypothesis increase then the spread of conjunctivitis decreased until no epidemic.

Article Details

How to Cite
Jirawattanapanit, A. (2019). A Mathematical model for the Campaign Prevent on the Transmission of Patients with Conjunctivitis. Phuket Rajabhat University Academic Journal, 15(1), 20–43. retrieved from https://so05.tci-thaijo.org/index.php/pkrujo/article/view/242341
Section
Research article

References

Anderson, R.M., and May, R.M.. 1991. Infectious diseases of humans: dynamics and control. Oxford: Oxford University Press.

Biophysics Group. 2009. Mathematics Model of Transmission. Faculty of science, Mahidol University.

Bureau of Epidemiology.2016. Conjunctivitis Available from URL: http://rnnvw.boe.moph.go.th/facConjunctivitis, 13 August 2016. (In Thai)

Diekmann, O., Heesterbeek, J.A.P., Roberts, M.G.. 2010. The construction of next-generation matrices for compartmental epidemic models. J. R. Soc. Interface 7, 873–885.

Fred Brauer, Pauline den Driessche and Jianhong Wu (Eds.). 2008. Mathematical Epidemiology. Vancouver, B.C. V6T 1Z2, Canada: Springer-Verlag Berlin Heidelberg.

Jantrapron Sukawat and Surapol Naowarat. 2014. Effect of Rainfall on the transmission Model of Conjunctivitis. Advanced in Environmental Biology, 8(14): 99-104. (In Thai)

Kribs-Zaleta, C.M. and Valesco-Hernández, J.X.. 2000. A simple vaccination model with multiple endemic states. Mathematical Biosciences,164 (2): 183–201.

Kermack, W. O. and McKendrick, A. G.. 1927. A Contribution to the Mathematical Theory of Epidemics. Proc. Roy. Soc. Lond. A 115: 700-721.

Naowarat, S., Tawarat, W., & Tang, I.M.. 2011. Control of the Transmission of Chikungunya Fever Epidemic Through the use of Adulticid. Science Publication, 6: 558-565. (In Thai)

Sukunya Sresurijan. 2016. Formulate a mathematical model. Available from URL:http://elearning.nsru.ac.th/web_elearning/math_model/introducti on.html, 13 August 2016. (In Thai)

Teerawat Nakaboot. 2003. mathematical model. Nakhon Pathom: Nakhon Pathom Rajabhat University. (In Thai)

Van den Driessche, P., Watmough, J.. 2002. Reproduction number and sub-threshold endemic equilibriums for compartmental models of disease transmission. Math. Biosci. 180(1-2), 29–48.