Title
An epidemiology model suggested by yellow fever
Abbreviated Journal Title
Math. Meth. Appl. Sci.
Keywords
epidemiology; existence and uniqueness; fixed point; nonlinear; nonlocal; yellow fever; integral equations; REACTION-DIFFUSION SYSTEM; ASYMPTOTIC SPEED; INTEGRAL-EQUATIONS; TRAVELING-WAVES; SPREAD; STABILIZATION; POPULATIONS; Mathematics, Applied
Abstract
In this work, we construct and analyze a nonlinear reactiondiffusion epidemiology model consisting of two integral-differential equations and an ordinary differential equation, which is suggested by various insect borne diseases, for example, Yellow Fever. We begin by defining a nonlinear auxiliary problem and establishing the existence and uniqueness of its solution via a priori estimates and a fixed point argument, from which we prove the existence and uniqueness of the classical solution to the analytic problem. Next, we develop a finite-difference method to approximate our model and perform some numerical experiments. We conclude with a brief discussion of some subsequent extensions. Copyright (C) 2011 John Wiley & Sons, Ltd.
Journal Title
Mathematical Methods in the Applied Sciences
Volume
35
Issue/Number
2
Publication Date
1-1-2012
Document Type
Article
DOI Link
Language
English
First Page
196
Last Page
206
WOS Identifier
ISSN
0170-4214
Recommended Citation
"An epidemiology model suggested by yellow fever" (2012). Faculty Bibliography 2010s. 2350.
https://stars.library.ucf.edu/facultybib2010/2350
Comments
Authors: contact us about adding a copy of your work at STARS@ucf.edu