Affiliation:
1. School of Mathematics, University of Wales, UCNW , Bangor, Gwynedd LL 57 1 UT , U .K .
Abstract
Abstract The two-dimensional reaction diffusion equations for the spread of rabies in a logistically growing fox population are solved numerically. The method, based upon Galerkin’s approach, uses space-time finite elements. The numerical model is shown, quantitatively, to possess the essential features of earlier one and two-dimensional models and to reproduce the values of field data accurately. A more realistic illustration of the use of the model, a study of the spread of rabies over the Isle of Anglesey, is then discussed.
Subject
General Biochemistry, Genetics and Molecular Biology
Cited by
7 articles.
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1. Stability Theory;500 Examples and Problems of Applied Differential Equations;2019
2. A numerical solution of two-dimensional fox-rabies dynamics of advection type;International Journal of Computer Mathematics;2013-10-29
3. On one-dimensional fox-rabies dynamics of advection type;International Journal of Computer Mathematics;2011-08
4. Epidemiology;Rabies;2007
5. The dynamics of a one-dimensional fox-rabies model;Journal of Applied Mathematics and Computing;2006-10