Items from Research Centres & Institutes > Centre for Mathematical Biology

2013

Bate, A. and Hilker, F., 2013. Predator-prey oscillations can shift when diseases become endemic. Journal of Theoretical Biology, 316, pp. 1-8.

Hilker, F. and Liz, E., 2013. Harvesting, census timing and "hidden" hydra effects. Ecological Complexity, 14, pp. 95-107.

McDonald, G.C., James, R., Krause, J. and Pizzari, T., 2013. Sexual networks : Measuring sexual selection in structured, polyandrous populations. Philosophical Transactions of the Royal Society B - Biological Sciences, 368 (1613).

Vanbergen, A. J., Baude, M., Biesmeijer, J. C., Britton, N. F., Brown, M. J. F., Bryden, J., Budge, G. E., Bull, J. C., Carvell, C., Challinor, A. J., Connolly, C. N., Evans, D. J., Feil, E. J., Garratt, M. P., Greco, M. K., Heard, M. S., Jansen, V. A. A., Keeling, M. J., Kunin, W. E., Marris, G. C., Memmott, J., Murray, J. T., Nicolson, S. W., Osborne, J. L., Paxton, R. J., Pirk, C. W. W., Polce, C., Potts, S. G., Priest, N. K., Raine, N. E., Roberts, S., Ryabov, E. V., Shafir, S., Shirley, M. D. F., Simpson, S. J., Stevenson, P. C., Stone, G. N., Termansen, M. and Wright, G. A., 2013. Forthcoming. Threats to an ecosystem service : pressures on pollinators. Frontiers in Ecology and the Environment

2012

Anderson, K. E., Hilker, F. M. and Nisbet, R. M., 2012. Directional biases and resource-dependence in dispersal generate spatial patterning in a consumer-producer model. Ecology Letters, 15 (3), pp. 209-217.

Bate, A. and Hilker, F., 2012. Rabbits protecting birds: Hypopredation and limitations of hyperpredation. Journal of Theoretical Biology, 297, pp. 103-115.

Blonder, B., Dornhaus, A., Wey, T.W., Sih, A. and James, R., 2012. Temporal dynamics and network analysis. Methods in Ecology and Evolution, 3 (6), pp. 958-972.

Priest, N. K., Rudkin, J. K., Feil, E. J., Van Den Elsen, J. M. H., Cheung, A., Peacock, S. J., Laabei, M., Lucks, D. A., Recker, M. and Massey, R. C., 2012. From genotype to phenotype: can systems biology be used to predict Staphylococcus aureus virulence? Nature Reviews Microbiology, 10 (11), pp. 791-797.

Sieber, M. and Hilker, F. M., 2012. The hydra effect in predator-prey models. Journal of Mathematical Biology, 64 (1-2), pp. 341-360.

Stone, L., Hilker, F. and Katriel, G., 2012. SIR models. In: Hastings, A. and Gross, L., eds. Encyclopedia of Theoretical Ecology. Berkeley: University of California Press, pp. 648-658.

2011

Brown, V. L. and White, K. A. J., 2011. The role of optimal control in assessing the most cost-effective implementation of a vaccination programme: HPV as a case study. Mathematical Biosciences, 231 (2), pp. 126-134.

Dattani, J., Blake, J. and Hilker, F. M., 2011. Target-oriented chaos control. Physics Letters A, 375 (45), pp. 3986-3992.

Hartfield, M., White, K. A. J. and Kurtenbach, K., 2011. The role of deer in facilitating the spatial spread of the pathogen Borrelia burgdorferi. Theoretical Ecology, 4 (1), pp. 27-36.

Morrell, L. J., Ruxton, G. D. and James, R., 2011. Spatial positioning in the selfish herd. Behavioral Ecology, 22 (1), pp. 16-22.

Morrell, L. J., Ruxton, G. D. and James, R., 2011. The temporal selfish herd: predation risk while aggregations form. Proceedings of the Royal Society B: Biological Sciences, 278 (1705), pp. 605-612.

2010

Adams, B. and Boots, M., 2010. How important is vertical transmission in mosquitoes for the persistence of dengue? Insights from a mathematical model. Epidemics, 2 (1), pp. 1-10.

Brown, V. and White, K., 2010. The HPV vaccination strategy: could male vaccination have a significant impact? Computational and Mathematical Methods in Medicine, 11 (3), pp. 223-237.

Hilker, F. M., 2010. Population collapse to extinction: The catastrophic combination of parasitism and Allee effect. Journal of Biological Dynamics, 4 (1), pp. 86-101.

Hilker, F. M. and Lewis, M. A., 2010. Predator-prey systems in streams and rivers. Theoretical Ecology, 3 (3), pp. 175-193.

Oliveira, N. M. and Hilker, F. M., 2010. Modelling disease introduction as biological control of invasive predators to preserve endangered prey. Bulletin of Mathematical Biology, 72 (2), pp. 444-468.

Paulley, Y., Delgado-Charro, M. B. and White, K. A. J., 2010. Modelling formation of a drug reservoir in the stratum corneum and its impact on drug monitoring using reverse iontophoresis. Computational and Mathematical Methods in Medicine, 11 (4), pp. 353-368.

Stollenwerk, N., van Noort, S., Martins, J., Aguiar, M., Hilker, F., Pinto, A. and Gomes, G., 2010. A spatially stochastic epidemic model with partial immunization shows in mean field approximation the reinfection threshold. Journal of Biological Dynamics, 4 (6), pp. 634-649.

2009

Franks, D. W., James, R., Noble, J. and Ruxton, G. D., 2009. A foundation for developing a methodology for social network sampling. Behavioral Ecology and Sociobiology, 63 (7), pp. 1079-1088.

Godfrey, S. S., Bull, C. M., James, R. and Murray, K., 2009. Network structure and parasite transmission in a group living lizard, the gidgee skink, Egernia stokesii. Behavioral Ecology and Sociobiology, 63 (7), pp. 1045-1056.

Hilker, F. M., 2009. Epidemiological models with demographic Allee effect. In: Biomat 2008: International Symposium on Mathematical and Computational Biology. Singapore: World Scientific, pp. 52-77.

Hilker, F. M., Langlais, M. and Malchow, H., 2009. The Allee effect and infectious diseases: extinction, multistability, and the (dis-)appearance of oscillations. American Naturalist, 173 (1), pp. 72-88.

James, R., Croft, D. P. and Krause, J., 2009. Potential banana skins in animal social network analysis. Behavioral Ecology and Sociobiology, 63 (7), pp. 989-997.

Ward, Z. D., White, K. A. J. and van Voorn, G. A. K., 2009. Exploring the impact of target cell heterogeneity on HIV loads in a within-host model. Epidemics, 1 (3), pp. 168-174.

2008

Cha, M., Mislove, A., Adams, B. and Gummadi, K. P., 2008. Characterizing social cascades in flickr. In: First Workshop on Online Social Networks (WOSN'08), 2008-08-18, Seattle, Washington, USA..

Hilker, F. M. and Schmitz, K., 2008. Disease-induced stabilization of predator-prey oscillations. Journal of Theoretical Biology, 255 (3), pp. 299-306.

Malchow, H., Hilker, F. M., Siekmann, I., Petrovskii, S. V. and Medvinsky, A. B., 2008. Mathematical models of pattern formation in planktonic predation-diffusion systems: A review. In: Hosking, R. J. and Venturino, E., eds. Aspects of Mathematical Modelling. Basel: Birkhäuser, pp. 1-26. (Mathematics and Biosciences in Interaction)

Priest, N. K., Galloway, L. F. and Roach, D. A., 2008. Mating frequency and inclusive fitness in Drosophila melanogaster. American Naturalist, 171 (1), pp. 10-21.

2007

Demuth, J., Drury, D., Peters, M., Van Dyken, J., Priest, N. and Wade, M. J., 2007. Genome-wide survey of Tribolium castaneum microsatellites and description of 509 polymorphic markers. Molecular Ecology Notes, 7 (6), pp. 1189-1195.