Qualifications & Memberships
My research is in mathematical modelling, particularly in ecology and physiology. The motivation for this research comes from real-world problems and the emphasis is on qualitative mathematical models that capture the essential behaviour of a particular phenomenon. I have research interests in a variety of applications: ecology and exploitation of fish communities; collective cell behaviour; complex ecological networks; invasive species; epidemiology; animal movement; neurovascular coupling. Some of the tools I use in my research include stochastic processes, integro and partial differential equations, dynamical systems, spatial moment dynamics, statistical modelling, and parameter inference.
- Barrett-Walker T., Plank MJ., Ka'ai-Mahuta R., Hikuroa D. and James A. (2020) Kia kaua te reo e rite ki te moa, ka ngaro: do not let the language suffer the same fate as the moa. Journal of the Royal Society, Interface 17(162): 20190526. http://dx.doi.org/10.1098/rsif.2019.0526.
- Binny RN., Law R. and Plank MJ. (2020) Living in groups: Spatial-moment dynamics with neighbour-biased movements. Ecological Modelling 415 http://dx.doi.org/10.1016/j.ecolmodel.2019.108825.
- Plank MJ. (2020) Asymptotic expansion approximation for spatial structure arising from directionally biased movement. Physica A: Statistical Mechanics and its Applications 541 http://dx.doi.org/10.1016/j.physa.2019.123290.
- Hackney M., James A. and Plank MJ. (2019) Emergence of balanced harvesting in an agent-based model of an open-access small-scale fishery. Mathematical Biosciences 316 http://dx.doi.org/10.1016/j.mbs.2019.108245.
- James A., Chisnall R. and Plank MJ. (2019) Gender and societies: A grassroots approach to women in science. Royal Society Open Science 6(9) http://dx.doi.org/10.1098/rsos.190633.