Publications
My research interests focus on mathematical modelling, taking real life problems and using mathematics to explore their phenomenology and underlying principles.
Publications
- James, A., Plank, MJ. and Edwards, A (2011). Assessing Levy walks as models of animal foraging. To appear in Interface, Journal of the Royal Society.
- Malchow, H., James, A., Brown, R. (2012). Control of competitive bioinvasion. In Dispersal, individual movement and spatial ecology: A mathematical perspective (Lewis, M., Maini, P., Petrovskii, S., eds.) Springer, submitted.
- James, A. and Kelly, D. (2011). An episodic model of honeydew production in scale insects. To appear in Austral Ecology.
- Hannah, J., James, A., Montelle, C., Nokes, J. (2011) Meeting the needs of our best and brightest: curriculum acceleration in tertiary mathematics (PDF, 5.1 MB). International Journal of Mathematical Education in Science and Technology 42(3): 299-312.
- James, A., Brown, R., Basse, B., Bourdôt, G.W., Lamoureaux, S.L., Roberts, M., Saville, D.J. (2011). Application of a spatial meta-population model with stochastic parameters to the management of the invasive grass Nassella trichotoma in North Canterbury, New Zealand. Ecol. Model. 222(4): 1030-1037.
- James A., Pitchford J.W., Plank M.J. Efficient or Inaccurate? (2010). Analytical and Numerical Modelling of Random Search Strategies (PDF, 355 KB). B. Math. Biol. 72(4): 896-913.
- Malchow, H., James, A., Brown, R. (2010). Competition and diffusive invasion in a noisy environment. Mathematical Medicine and Biology, doi:10.1093/imammb/dqq008.
- James, A., Green, S. and Plank, MJ. (2009). Modelling the dynamic response of oxygen uptake to exercise (PDF, 119 KB). Discret. Contin. Dyn. S. Series B 12(2): 361-370.
- James A., Plank, MJ. and Brown, R. (2008). Optimizing the encounter rate in biological interactions: Ballistic versus Levy versus Brownian strategies (dead link). Phys. Rev. E. 78(5 Pt 1):051128. Epub 2008 Nov 26.
- Law R., Plank MJ. and James A. (2008). Size-spectra dynamics from stochastic predation and growth of individuals: derivation and asymptotic properties (PDF, 293 KB). Ecology 90(3): 802-811.
- James A., Montelle C. and Williams, P. (2008). From lessons to lectures: NCEA mathematics results and first year performance (PDF, 117 KB). Int. J. Math. Ed. Sci. Tech. 39(8): 1037-1050.
- Plank MJ. and James A. (2008). Optimal foraging: Levy pattern or process? (Corrupt file - PDF, 325 KB). J. R. Soc. Interface. 5(26):1077-86.
- Sims DW., Southall EJ., Humphries NE., Hays GC., Bradshaw CJA., Pitchford JW., James A., Ahmed MZ., Brierley AS., Hindell MA., Morritt D., Musyl MK., Righton D., Shepard ELC., Wearmouth VJ., Wilson RP., Witt MJ., Metcalfe JD. (2008). General scaling laws of marine predator search behaviour indicate adaption to complex prey landscapes (nature.com). Nature 451(7182):1098-U5.
- James, A. and Plank, MJ. (2007). On fitting power laws to ecological data (PDF, 153 KB). ArXiv:0712.0613.
- Chapman SJ., Plank MJ., James A. and Basse B. (2007). A nonlinear model of age and size-structured populations with applications to cell-cycles (PDF, 301 KB). ANZIAM J 49:151-169.
- James A., Dungan R., Plank MJ. and Ito, R. (2007). A dynamical model of droplet production by sooty-beech scale insects (Ultracoelostoma spp) in Nothofagus forest (PDF, 1.43 MB). Ecological Modelling 209:323-332.
- James A., Pitchford JW. and Plank MJ. (2007). An event based model of superspreading in epidemics (PDF, 158 KB). Proc. Roy. Soc. B. 274:741-747.
- Mullowney PJ. and James A. (2007). The role of variance in capped rate stochastic growth models with external mortality (PDF, 581 KB). J of Theoretical Biology 244(2):228-238.
- James A., Baxter PD. and Pitchford JW. (2005). Modelling predation as a capped rate stochastic process, with applications to fisheries recruitment (PDF, 264 KB). Interface 2(5):477-487.
- Pitchford JW., James A. and Brindley J. (2005). Quantifying the effects of individual and environmental variability in fish recruitment (PDF, 143 KB). Fisheries Oceanography 14(2):156-160.
- James A., Brindley J and McIntosh AC. (2003). Multi-channel monolith reactors as dynamical systems (PDF, 353 KB). Comb and Flame 134:193-205.
- Pitchford JW., James A. and Brindley J. (2003). Optimal foraging in patchy turbulent environments (PDF, 514 KB). Marine Ecology Progress Series 256:99-110.
- James A., Pitchford JW. and Brindley, J. (2003). The relationship between plankton blooms, the hatching of fish larvae, and recruitment (PDF, 438 KB). Ecological Modelling 160:77-90.
- James A., Brindley J. and McIntosh AC. (2002). Stability of multiple steady of catalytic combustion (PDF, 212 KB). Comb and Flame 130:137-146.
- James A., Brindley J. and McIntosh AC.(2001). Classification of behaviour in a steady plug flow model of catalytic combustion (PDF, 303 KB). Chem Eng Sci 56:4649-4658.