I'm an applied mathematician, which means that I enjoy using mathematical techniques to solve real-world problems. Most of my work is in the broad field of ecology, with a particular focus on aquatic habitats (e.g. coral reefs, lakes) and spatially explicit problems. I have additionally published a few epidemiological papers. Mathematically, my work incorporates nonlinear dynamics, data science, and machine learning.

Below is a list of all of my publications. They can also be viewed on ResearchGate or Google Scholar. An asterisk (*) denotes co-first authors, while a dagger (†) denotes that I am a corresponding author (in cases when I am not the first or co-first author). If you would like a PDF copy of one of them but it isn't available online, you can email me and I'll send it to you.

H Cui, J Li, YT Sun, RA Milne, YW Tao, JL Ren. 2024. A novel framework for quantitative attribution of particulate matter pollution mitigation to natural and socioeconomic drivers. Science of the Total Environment, 926:171910.

H Cui, YW Tao, J Li, JH Zhang, H Xiao, RA Milne. 2024. Predicting and analyzing the algal population dynamics of a grass-type lake with explainable machine learning. Journal of Environmental Management, 354:120394.

T Feng, RA Milne, H Wang. 2023. Variation in environmental stochasticity dramatically affects viability and extinction time in a predator-prey system with high prey group cohesion. Mathematical Biosciences, 365:109075.

RA Milne, M Anand, CT Bauch. 2023. Preparing for and managing crown-of-thorns starfish outbreaks on reefs under threat from interacting anthropogenic stressors. Ecological Modelling, 484:110443.

SL Jing*, RA Milne*, H Wang, L Xue. 2023. Vaccine hesitancy promotes emergence of new SARS-CoV-2 variants. Journal of Theoretical Biology, 570:111522.

JP Ji, RA Milne, H Wang. 2023. Stoichiometry and environmental change drive dynamical complexity and unpredictable switches in an intraguild predation model. Journal of Mathematical Biology, 86:31.

L Xue, SL Jing, K Zhang, RA Milne, H Wang. 2022. Infectivity versus fatality of SARS-CoV-2 mutations and influenza. International Journal of Infectious Diseases, 121:195-202.

RA Milne, CT Bauch, M Anand. 2022. Local overfishing patterns have regional effects on health of coral, and economic transitions can promote its recovery. Bulletin of Mathematical Biology, 84:46.

RA Milne, F Guichard. 2021. Coupled phase-amplitude dynamics in heterogeneous metacommunities. Journal of Theoretical Biology, 523:110676.

JO Negrín Dastis, RA Milne, F Guichard, AM Derry. 2019. Phenotype–environment mismatch in metapopulations — Implications for the maintenance of maladaptation at the regional scale. Evolutionary Applications, 12(7):1475-1486.

In addition to these papers, I have also reviewed a mathematical ecology textbook for SIAM. You can read my review here.