U.W. Bangor - School of Informatics - Mathematics Preprints 1993
Computational Applied Mathematics
CUNNINGHAM, J., GARDNER, L.R.T., GARDNER, G.A. & YASSI, H.
Rabies spread in Kent
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.
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
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.
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
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
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.
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
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.
Proc. Intl. AMSE Conf. "Systems: Analysis, Control and Design"
Lyon, 1 (1994) 327-338.