IJPAM: Volume 43, No. 3 (2008)

THE DYNAMICS OF PEPTIC ULCERS AND
H. PYLORI WITH VACCINATION

Tae S. Do$^1$, Glenn Ledder$^2$, Young Lee$^3$
$^1$Department of Mathematics Education
Kwandong University
Kanglung, 210-701, SOUTH KOREA
e-mail: taesdo@kwandong.ac.kr
$^2$Department of Mathematics
University of Nebraska-Lincoln
NE 68588, USA
e-mail: gledder1@math.unl.edu
$^3$Department of Mathematics and Computer Science
Manchester College
604, East College Avenue, North Manchester, IN 46962, USA
e-mail: yslee@manchester.edu


Abstract.The majority of peptic ulcers are caused by H. pylori infection. Since clinical trials are underway to develop a H. pylori vaccine, we have developed a VSHUR model. The model examines the disease transmission dynamics with treatment and vaccination through analytical stability analysis and numerical simulation of a system of ordinary differential equations.

Received: October 11, 2007

AMS Subject Classification: 92D25, 92D30

Key Words and Phrases: treatment, vaccination

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 43
Issue: 3