Research Output 1977 2020

1999
9 Citations (Scopus)

Modulated two-dimensional patterns in reaction-diffusion systems

Kuske, R. & Milewski, P., 1 Apr 1999, In : European Journal of Applied Mathematics. 10, 2, p. 157-184 28 p.

Research output: Contribution to journalArticle

Reaction-diffusion System
Modulation
Hexagon
Modulation Equations
Flame
5 Citations (Scopus)
symmetry
planforms
coefficients
74 Citations (Scopus)

Stochastic simulation of benign avascular tumour growth using the Potts model

Stott, E. L., Britton, N. F., Glazier, J. A. & Zajac, M., Sep 1999, In : Mathematical and Computer Modelling. 30, 5-6, p. 183-198 16 p.

Research output: Contribution to journalArticle

Potts model
Tumor Growth
Stochastic Simulation
Potts Model
Tumors
22 Citations (Scopus)

Time dependent gravity - capillary flows past an obstacle

Milewski, P. A. & Vanden-Broeck, J. M., 1 Jan 1999, In : Wave Motion. 29, 1, p. 63-79 17 p.

Research output: Contribution to journalArticle

capillary flow
gravitation
Bond number
Froude number
shallow water
1998
13 Citations (Scopus)

A formulation for water waves over topography

Milewski, P. A., 1 Jan 1998, In : Studies in Applied Mathematics. 100, 1, p. 95-106 12 p.

Research output: Contribution to journalArticle

Water waves
Water Waves
Topography
Free Surface
Formulation
11 Citations (Scopus)

Analysis of ant foraging algorithms

Britton, N. F., Stickland, T. R. & Franks, N. R., Dec 1998, In : Journal of Biological Systems. 6, 4, p. 315-336 22 p.

Research output: Contribution to journalArticle

Ants
Foraging
ant
Formicidae
foraging

Behaviour of lambs (Ovis aries) in relation to spatial patterns of defecation on a pasture

White, K. & Hall, S. JG., 1998, In : Journal of Zoology. p. 111-117

Research output: Contribution to journalArticle

defecation
feces
pasture
lambs
pastures
78 Citations (Scopus)
81 Citations (Scopus)

Habitat fragmentation, percolation theory and the conservation of a keystone species

Boswell, G. P., Britton, N. F. & Franks, N. R., 22 Oct 1998, In : Proceedings of the Royal Society B: Biological Sciences. 265, 1409, p. 1921-1925 5 p.

Research output: Contribution to journalArticle

keystone species
Looms
habitat fragmentation
Ecosystem
Conservation
14 Citations (Scopus)

Long wave interaction over varying topography

Milewski, P., 15 Nov 1998, In : Physica D: Nonlinear Phenomena. 123, 1-4, p. 36-47 12 p.

Research output: Contribution to journalArticle

wave interaction
planetary waves
topography
rays
coefficients

On wolf territoriality and deer survival

White, K., Lewis, M. A. & Murray, J. D., 1998, Modelling spatiotemporal dynamics in ecology. Sole, RV. & Bascompte, J. (eds.). Landes Bioscience, p. 105-126

Research output: Chapter in Book/Report/Conference proceedingChapter

2 Citations (Scopus)

Singularities on free surfaces of fluid flows

Milewski, P., Vanden-Broeck, J. M. & Keller, J. B., 1 Jan 1998, In : Studies in Applied Mathematics. 100, 3, p. 245-267 23 p.

Research output: Contribution to journalArticle

Free Surface
Fluid Flow
Flow of fluids
Singularity
Stokes
43 Citations (Scopus)
parasites
disease occurrence
host-parasite relationships
biological control agents
environmental factors
44 Citations (Scopus)

Spatiotemporal modelling for the annual egg production method of stock assessment using generalized additive models

Augustin, N. H., Borchers, D. L., Clarke, E. D., Buckland, S. T. & Walsh, M., 1 Jan 1998, In : Canadian Journal of Fisheries and Aquatic Sciences. 55, 12, p. 2608-2621 14 p.

Research output: Contribution to journalArticle

32 Citations (Scopus)

Taphonomy of the insects from the insect bed (Bembridge Marls), late Eocene, Isle of Wight, England

McCobb, L. M. E., Duncan, I. J., Jarzembowski, E. A., Stankiewicz, B. A., Wills, M. A. & Briggs, D. E. G., 1 Jan 1998, In : Geological Magazine. 135, 4, p. 553-563 11 p.

Research output: Contribution to journalArticle

46 Citations (Scopus)

The role of simulation in modelling spatially correlated data

Augustin, N. H., Mugglestone, M. A. & Buckland, S. T., 1 Mar 1998, In : Environmetrics. 9, 2, p. 175-196 22 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Vertebrate genome evolution and the zebrafish gene map

Postlethwait, J. H., Yan, Y. L., Gates, M. A., Horne, S., Amores, A., Brownlie, A., Donovan, A., Egan, E. S., Force, A., Gong, Z., Guotel, C., Fritz, A., Kelsh, R., Knapik, E., Liao, E., Paw, B., Ransom, D., Singer, A., Thomson, M., Abduljabbar, T. S. & 9 others, Yelick, P., Beier, D., Joly, J. S., Larhammar, D., Rosa, F., Westerfield, M., Zon, L. I., Johnson, S. L. & Talbot, W. S., 1 Apr 1998, In : Nature Genetics. 18, 4, p. 345-349 5 p.

Research output: Contribution to journalLetter

Zebrafish
Vertebrates
Genome
Genes
Fishes
1997

Analysis of a model for wolf territories

Lewis, M. A., White, K. & Murray, J. D., 1997, In : Journal of Mathematical Biology. 35, p. 749-774

Research output: Contribution to journalArticle

wolves
Buffer
Mathematical models
Pattern Formation
Buffers
915 Citations (Scopus)

Model selection: An integral part of inference

Buckland, S. T., Burnham, K. P. & Augustin, N. H., 1 Jun 1997, In : Biometrics. 53, 2, p. 603-618 16 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

Regulation of complex host dynamics by a macroparasite

White, K. & Grenfell, B. T., 7 May 1997, In : Journal of Theoretical Biology. 186, p. 81-91

Research output: Contribution to journalArticle

Complex Dynamics
Parasites
Interaction
Anderson Model
Continuous-time Model
71 Citations (Scopus)

The cambrian evolutionary 'explosion' recalibrated

Fortey, R. A., Briggs, D. E. G. & Wills, M. A., 1 Jan 1997, In : Bioessays. 19, 5, p. 429-434 6 p.

Research output: Contribution to journalReview article

1996
10 Citations (Scopus)

A mathematical model for the population dynamics of army ants

Britton, N. F., Partridge, L. W. & Franks, N. R., 1996, In : Bulletin of Mathematical Biology . 58, 3, p. 471-492 22 p.

Research output: Contribution to journalArticle

Population dynamics
Ants
Population Dynamics
ant
population dynamics
44 Citations (Scopus)

A model for wolf-pack territory formation and maintenance

White, K., Lewis, M. A. & Murray, J. D., 1996, In : Journal of Theoretical Biology. 178, 1, p. 29-43

Research output: Contribution to journalArticle

wolves
Maintenance
Ecosystem
Theoretical Models
Multi-model
211 Citations (Scopus)

An autologistic model for the spatial distribution of wildlife

Augustin, N. H., Mugglestone, M. A. & Buckland, S. T., 1 Dec 1996, In : Journal of Applied Ecology. 33, 2, p. 229-247 19 p.

Research output: Contribution to journalArticle

119 Citations (Scopus)

A predator-prey reaction-diffusion system with nonlocal effects

Gourley, S. A. & Britton, N. F., 1996, In : Journal of Mathematical Biology. 34, 3, p. 297-333 37 p.

Research output: Contribution to journalArticle

Prey-predator System
Nonlocal Effects
Prey
Reaction-diffusion System
Bifurcation
28 Citations (Scopus)

Army ant population dynamics: the effects of habitat quality and reserve size on population size and time to extinction

Partridge, L. W., Britton, N. F., Franks, N. R. & Britton, N., 1996, In : Proceedings of the Royal Society B: Biological Sciences. 263, 1371, p. 735-741 7 p.

Research output: Contribution to journalArticle

31 Citations (Scopus)

Effect of seasonal host reproduction on host-macroparasite dynamics

White, K., Grenfell, B. T., Hendry, R. J., Lejeune, O. & Murray, J. D., 1996, In : Mathematical Biosciences. 137, p. 79-99

Research output: Contribution to journalArticle

Seasonality
Annual
Reproduction
Population Dynamics
Population dynamics
10 Citations (Scopus)

Evaluation of feline leukemia virus control measures

Lubkin, S. R., Romatowski, J., Zhu, M., Kulesa, P. M. & White, K., 1996, In : Journal of Theoretical Biology. 178, 1, p. 53-60

Research output: Contribution to journalArticle

Feline Leukemia Virus
Feline leukemia virus
Leukemia
Viruses
Virus
8 Citations (Scopus)

Mechanisms for stabilisation and destabilisation of systems of reaction-diffusion equations

Gourley, S. A., Britton, N. F., Chaplain, M. A. J. & Byrne, H. M., 1996, In : Journal of Mathematical Biology. 34, 8, p. 857-877 21 p.

Research output: Contribution to journalArticle

Reaction-diffusion Equations
Stabilization
Perturbation
diffusivity
Ecological Model
19 Citations (Scopus)

On the mathematical modelling of pain

Britton, N. F. & Skevington, S. M., Sep 1996, In : Neurochemical Research. 21, 9, p. 1133-40 8 p.

Research output: Contribution to journalArticle

Plasticity
Brain
Neural networks
Pain
Neurobiology
30 Citations (Scopus)

The role of N-methyl-D-aspartate (NMDA) receptors in wind-up: a mathematical model

Britton, N. F., Chaplain, M. A. & Skevington, S. M., Sep 1996, In : IMA Journal of Mathematics Applied in Medicine and Biology. 13, 3, p. 193-205 13 p.

Research output: Contribution to journalArticle

aspartic acid
N-Methyl-D-Aspartate Receptors
Receptor
Theoretical Models
mathematical models
46 Citations (Scopus)

Three-dimensional water waves

Milewski, P. A. & Keller, J. B., 1 Jan 1996, In : Studies in Applied Mathematics. 97, 2, p. 149-166 18 p.

Research output: Contribution to journalArticle

Water waves
Water Waves
Three-dimensional
Kadomtsev-Petviashvili Equation
Nonlinear Dispersion
23 Citations (Scopus)

Wolf-deer interactions: a mathematical model

White, K., Lewis, M. A. & Murray, J. D., 1996, In : Proceedings of the Royal Society of London Series B - Biological Sciences. 263, p. 299-305

Research output: Contribution to journalArticle

Deer
wolves
deer
Buffers
Theoretical Models
1995

Complex trails and simple algorithms in ant foraging

Stickland, T. R., Britton, N. F. & Franks, N. R., 1995, In : Proceedings of the Royal Society B: Biological Sciences. 260, 1357, p. 53-58 6 p.

Research output: Contribution to journalArticle

Ants
social insects
ant
Formicidae
nests

Mathematical modelling of acute pain

Britton, NF., Skevington, SM. & Chaplain, MAJ., 1995, In : Journal of Biological Systems. 3, 04, p. 1119-1124 6 p.

Research output: Contribution to journalArticle

Mathematics of marital conflict: qualitative dynamic mathematical modeling of marital interaction

Cook, J., Tyson, R., White, K., Rushe, R., Gottman, J. & Murray, J. D., 1995, In : Journal of Family Psychology. 9, p. 110-130

Research output: Contribution to journalArticle

Family Conflict
Mathematics
Spouses
Aptitude
Marriage

Resonant Interactions between Vortical Flows and Water Waves. Part I: Deep Water

Milewski, P. A. & Benney, D. J., 1 Feb 1995, In : Studies in Applied Mathematics. 94, 2, p. 131-167 37 p.

Research output: Contribution to journalArticle

Water waves
Water Waves
Surface waves
Water
Surface Waves

Resonant Interactions between Vortical Flows and Water Waves. Part II: Shallow Water

Milewski, P. A., 1 Apr 1995, In : Studies in Applied Mathematics. 94, 3, p. 225-256 32 p.

Research output: Contribution to journalArticle

Water waves
Shallow Water
Water Waves
Surface waves
Korteweg-de Vries equation
1993

A qualitative analysis of some models of tissue growth

Britton, N. F. & Chaplain, M. A., Jan 1993, In : Mathematical Biosciences. 113, 1, p. 77-89 13 p.

Research output: Contribution to journalArticle

Qualitative Analysis
qualitative analysis
Tissue
Growth
Inhibitor

Effects of competition and shading in planktonic communities

Britton, NF. & Timm, U., 1993, In : Journal of Mathematical Biology. 31, 7, p. 655-673 19 p.

Research output: Contribution to journalArticle

Instability of travelling wave solutions of a population model with nonlocal effects

Gourley, SA. & Britton, NF., 1993, In : IMA Journal of Applied Mathematics. 51, 3, p. 299-310 12 p.

Research output: Contribution to journalArticle

On a modified Volterra population equation with diffusion

Gourley, S. A. & Britton, N. F., Sep 1993, In : Nonlinear Analysis: Theory Methods & Applications. 21, 5, p. 389-395 7 p.

Research output: Contribution to journalArticle

On the concentration profile of a growth inhibitory factor in multicell spheroids

Chaplain, M. A. & Britton, N. F., Jun 1993, In : Mathematical Biosciences. 115, 2, p. 233-43 11 p.

Research output: Contribution to journalArticle

mathematical models
cells
Theoretical Models
Mathematical models
Time Scales
1992

A new method for mass transport problems with an application to haemofilters

Britton, NF., 1992, In : SIAM Journal on Applied Mathematics. 52, 3, p. 630-650 21 p.

Research output: Contribution to journalArticle

Cambrian and recent morphological disparity

Foote, M., Gould, S. J., Lee, M. S. Y., Briggs, D. E. G., Fortey, R. A. & Wills, M. A., 11 Dec 1992, In : Science. 258, 5089, p. 1816-18187 2 p.

Research output: Contribution to journalComment/debate

1991

An integral for a reaction-diffusion system

Britton, N. F., 1991, In : Applied Mathematics Letters. 4, 1, p. 43-47 5 p.

Research output: Contribution to journalArticle

Reaction-diffusion System
Epidemiology
Ecology
Fungi
Reaction-diffusion Equations
1990
Periodic Traveling Waves
Reaction-diffusion Model
Spatial Structure
Population Model
Agglomeration
Leptothorax acervorum
ant nests
Ants
Nest
ant
1989

Aggregation and the competitive exclusion principle

Britton, N. F., 9 Jan 1989, In : Journal of Theoretical Biology. 136, 1, p. 57-66 10 p.

Research output: Contribution to journalArticle

Competitive Exclusion
competitive exclusion
Aggregation
Animals
Agglomeration

A mathematical model of the gate control theory of pain

Britton, N. F. & Skevington, S. M., 7 Mar 1989, In : Journal of Theoretical Biology. 137, 1, p. 91-105 15 p.

Research output: Contribution to journalArticle

Pain
Control theory
Control Theory
pain
Theoretical Models