Far East Journal of Mathematical Sciences (FJMS)
© 2017 Pushpa Publishing House, Allahabad, India
http://www.pphmj.com
http://dx.doi.org/10.17654/MS102091995
Volume 102, Number 9, 2017, Pages 1995-2014 ISSN: 0972-0871
Received: July 12, 2016; Revised: June 1, 2017; Accepted: August 28, 2017
2010 Mathematics Subject Classification: 92D30.
Keywords and phrases: dengue fever, stability, equilibrium point, basic reproductive number,
perturbation iteration.
THE TRANSMISSION DYNAMICS OF DENGUE FEVER
WITH THE EFFECT OF EDUCATION CAMPAIGN
AND ITS APPLICATIONS
Bundit Unyong
Department of Mathematics
Faculty of Science and Technology
Phuket Rajabhat University
Phuket, 83000, Thailand
Abstract
In this work, a modified SEIR model for the transmission of dengue
fever was proposed and analyzed. We use the efficiency of education
campaign u as the control measures to reduce the contact between
susceptible human and infected mosquito, the role of education to
inform people that they should use mosquito repellent to protect
yourself from mosquito bites and also once a week, empty and scrub,
turn over, or throw out items that hold water, remove standing water
where mosquitoes could lay eggs. The standard method is used to
analyze behaviors of the proposed model. The results show that there
were two equilibrium points: disease free and endemic equilibrium.
The qualitative results are depended on a basic reproductive number
( ).
0
R We obtained the basic reproductive number by using the next
generation method and finding the spectral radius. Routh-Hurwitz
criterion is used for determining the stabilities of the model. If