Skip to main content Skip to section menu

U.W. Bangor - School of Informatics - Mathematics Preprints 1993

Computational Applied Mathematics


93.01 : CUNNINGHAM, J., GARDNER, L.R.T., GARDNER, G.A. & YASSI, H.

Rabies spread in Kent

Abstract:

Results of simulations are described for the spatial spread of rabies in foxes in a region with realistic boundary conditions and internal zones of differing habitat characteristics. The region chosen cooresponds roughly to the county of Kent with zero flux boundary conditions along the coast line and transmitting boundary conditions elsewhere.

Published in:

Proceedings Int. AMSE Conf."Systems", London 1 (1993) 189-200.


93.03 : GARDNER, L.R.T., GARDNER, G.A. & GEYIKLI, T.

Solitary wave solutions of the MKdV- equation

Abstract:

A new numerical solution to the Modified Korteweg-deVries minus equation is obtained using a 'lumped' Galerkin method with quadratic B-spline finite elements. The motion, interaction and generation of solitary waves are studied using the method. New results concerning the decay of quasi-soliton initial conditions are given.

Published in:

Comput. Methods Appl. Mech. Engrg. 124 (1995) 321-333.


93.06 : CUNNINGHAM, J., GARDNER, G.A. & GARDNER, L.R.T.

The red fox and rabies spread mathematical models and simulations

Abstract:

This article provides a comprehensive review of work carried out over a period of years by the authors into the modelling and simulation of rabies spread by foxes. Detailed results have been reported in various AMSE conference preceedings and journal papers. An account is given of the biological background to the spatial spread of rabies. The assumption that vulpes-vulpes the red fox is the likely wildlife reservoir for rabies in Britain, when the disease is introduced from continental Europe, is justified by reference to recent rabies field data. The results of a series of simulations of fox rabies spread, carried out at Bangor over a period of years, is summarised and conclusions drawn regarding the likely course of a rabies epidemic in the U.K.

Published in:

Modelling, Measurement & Control, C, AMSE Press 42 (1994) 15-26.


93.15 : CUNNINGHAM, J. and GARDNER, G.A.

The spread of rabies among insectivorous bats

Abstract:

A least squares fit to European bat rabies data provides the basis for estimating computational parameters to be used in studying temporal and possibly also spatial spread of bat rabies by adapting a model previously developed to study rabies spread among foxes. Recrudescence of bat rabies in Europe is predicted towards the end of this century.

Published in:

Proc. Intl. AMSE Conf. "Systems: Analysis, Control and Design", Lyon, 1 (1994) 327-338.


Site footer