Original research journal articles

Most of my research to date concerns mathematical models which jointly simulate population dynamics and the co-evolution of communities of species.

• Abernethy, Gavin M.. "Perturbation in co-evolved model meta-communities." Ecology and Evolution, 12:11 (2022). DOI: 10.1002/ece3.9534
• Abernethy, Gavin M., and David H. Glass. "Optimal COVID-19 lockdown strategies in an age-structured SEIR model of Northern Ireland." Journal of the Royal Society Interface, 19:188 (2022). DOI: 10.1098/rsif.2021.0896
• Abernethy, Gavin M.. "Sequences of patch disturbance in a spatial eco-evolutionary model." Communications in Nonlinear Science and Numerical Simulation, 97 (2021): 105746. DOI: 10.1016/j.cnsns.2021.105746
• Abernethy, Gavin M.. "Allometry in an eco-evolutionary network model." Ecological Modelling, 427 (2020): 109090. DOI: 10.1016/j.ecolmodel.2020.109090
• Abernethy, Gavin M., Mark McCartney, and David H. Glass. "The role of migration in a spatial extension of the webworld eco-evolutionary model." Ecological Modelling, 397 (2019): 122-140. DOI: 10.1016/j.ecolmodel.2018.12.003
• Abernethy, Gavin M., Mark McCartney, and David H. Glass. "The robustness, link-species relationship and network properties of model food webs." Communications in Nonlinear Science and Numerical Simulation, 70 (2019): 20-47. DOI: 10.1016/j.cnsns.2018.09.002
• Abernethy, Gavin M., Mark McCartney, and David H. Glass. "The interaction between predator strategy and prey competition in a pair of multi-predator multi-prey lattices." Communications in Nonlinear Science and Numerical Simulation, 56 (2018): 9-33. DOI: 10.1016/j.cnsns.2017.06.012
• Abernethy, Gavin M., Rory Mullan, David H. Glass, and Mark McCartney. "A multiple phenotype predator–prey model with mutation." Physica A: Statistical Mechanics and its Applications, 465 (2017): 762-774. DOI: 10.1016/j.physa.2016.08.037
• Abernethy, Gavin M., and Mark McCartney. "Analysis of a class of low-dimensional models of mutation and predation." International Journal of Bifurcation and Chaos, 26, no. 11 (2016): 1630029. DOI: 10.1142/S0218127416300299
• Mullan, Rory, Gavin M. Abernethy, David H. Glass, and Mark McCartney. "A single predator multiple prey model with prey mutation." Communications in Nonlinear Science and Numerical Simulation, 40 (2016): 51-70. DOI: 10.1016/j.cnsns.2016.04.013
• McCartney, Mark, Gavin Abernethy, and Lisa Gault. "The divider dimensions of the Irish coast." Irish Geography, 43, no. 3 (2010): 277-284. DOI: 10.1080/00750778.2011.582632

Pedagogical journal articles

I have published articles demonstrating how simple population population models can be used as the basis of some entertaining undergraduate projects in mathematics.

• Abernethy, Gavin M.. "A model of invasion by bodysnatchers from the far reaches of space." International Journal of Mathematical Education in Science and Technology, (2020). DOI: 10.1080/0020739X.2020.1850896
• Abernethy, Gavin M.. "Zombies: a simple discrete model of the apocalypse." International Journal of Mathematical Education in Science and Technology, (2018): 1-18. DOI: 10.1080/0020739X.2018.1455229
• Abernethy, Gavin M., and Mark McCartney. "Cannibalism and chaos in the classroom." International Journal of Mathematical Education in Science and Technology, 48, no. 1 (2017): 117-129. DOI: 10.1080/0020739X.2016.1184337

Book reviews and miscellaneous articles

Occasionally I contribute to the journal of the London Mathematical Society, which is one of the United Kingdom's learned societies for mathematics.

• Feature article: “Stability in complex ecological meta-networks", London Mathematical Society Newsletter, Issue 489, July 2020: 19-24. PDF
• Micro-thesis: "Eco-evolutionary food web modelling", London Mathematical Society Newsletter, Issue 475, March 2018: 40-41. PDF
• Book review: "Numerical bifurcation analysis of maps: from theory to software", London Mathematical Society Newsletter, Issue 490, September 2020: 52-53.
• Book review: "The Prime Number Conspiracy", London Mathematical Society Newsletter, Issue 485, November 2019: 48-49.
• Book review: "Fractal worlds", London Mathematical Society Newsletter, Issue 473, November 2017: 53-54.