PHD at Queensland University of Technology, Australia
Dr. Claudio Arancibia-Ibarra is a distinguished mathematician and data scientist based in Brisbane, Australia. He holds a PhD in Applied and Computational Mathematics from Queensland University of Technology and a Master’s in Mathematics from Pontificia Universidad Católica de Valparaíso. His research focuses on predator-prey models and complex ecological systems. Dr. Arancibia-Ibarra has extensive teaching and research experience, having served as a professor and postdoctoral researcher in both Chile and Australia. He has received numerous awards and recognitions for his work, including nominations for outstanding doctoral thesis awards and support for international conference attendance.
Professional Profiles
Education
2017 – 2020: PhD in Applied and Computational Mathematics, Queensland University of Technology, Australia Thesis topic: Temporal and spatio-temporal dynamics in predator-prey models (DOI). 2007 – 2011: Master of Mathematics, Pontificia Universidad Católica de Valparaíso, Chile Thesis topic: A modified Leslie–Gower predator-prey model with hyperbolic functional response and Allee effect on prey. 2005 – 2007: Bachelor of Education – Secondary Education Mathematics and Physics Teacher, Universidad Mayor, Chile Thesis topic: Methodological proposals for teaching sciences in secondary education. 1998 – 2003: Mechanical Engineer, Universidad Tecnológica Metropolitana, Chile Thesis topic: Industrial design software applied to the mechanic metal sector.
Research Experience
Jul. 2022 – present: Data Scientist, Safe Food Production Queensland, Food Regulators, Australia Probabilistic modelling for improving food production in Queensland. Jun. 2020 – Jul. 2023: Professor of Mathematics, Universidad de las Américas, Faculty of Engineering and Business, Chile Data analysis in the mining industry. Jan. 2021 – Jul. 2022: Postdoctoral Researcher, Queensland University of Technology, Mathematical Science, Australia New mathematics for understanding complex patterns in the natural sciences. Sep. 2020: AustMS Lift-off Fellowship, Australian Mathematical Society, Australia Travelling waves solutions in a predator-prey model.
Teaching Experience
Sep. 2020 – present: Universidad de las Américas, Chile General Mathematics Programming Language for Data Science Machine Learning Feb. 2018 – Dec. 2019: Queensland University of Technology, Australia Introductory Engineering Mathematics Matlab for Engineering
Awards:
2019: Award, Universidad de las Américas Chile Awards to assist attendance at ICIAM 2019, Spain (AU $1400). 2019: Award, The Australian and New Zealand Industrial and Applied Mathematics Student Support Scheme Awards to assist attendance at ANZIAM 2019, New Zealand (AU $500). 2019: Award, The Australian and New Zealand Industrial and Applied Mathematics Student Support Scheme Awards to assist attendance at ANZIAM 2018, Australia (AU $500).
Key Skills
Building mathematical models of complex ecological systems Bifurcation analysis of complex ecological systems Numerical analysis Dynamical systems Data analysis Machine learning (Bayesian network) Computational and programming skills: Mathematica, Matlab, R, and Python LaTex, including Beamer, Tikz, and PGFPlots
Research Focus
Dr. Claudio Arancibia-Ibarra’s research focuses on the bifurcation analysis and dynamics of predator-prey models, particularly those incorporating predator intraspecific interactions, ratio-dependent functional responses, and Allee effects. His work includes exploring the basins of attraction in modified predator-prey models, Turing patterns in diffusive systems, and the implications of alternative food sources for predators. He has published extensively on these topics, contributing to journals such as Applied Mathematics and Computation, Nonlinear Analysis, and the International Journal of Bifurcation and Chaos. His research provides critical insights into the stability and complexity of ecological systems through mathematical and computational modeling.
Publications
- Temporal and spatio-temporal dynamics in predator-prey models, Publication date: 2020.
- Dynamics of a modified Leslie-Gower predator-prey model with Allee effect on the prey and a generalist predator, Publication date: 2020.
- Modelling and analysis of a modified May-Holling-Tanner predator-prey model with Allee effect in the prey and an alternative food source for the predator, Publication date: 2020.
- Stability Analysis of a Modified Leslie–Gower Predation Model With Weak Allee Effect in the Prey, Publication date: 2022.
- Turing patterns in a diffusive Holling–Tanner predator-prey model with an alternative food source for the predator, Publication date: 2021.
- Dynamics of a Leslie–Gower predator–prey model with Holling type II functional response, Allee effect and a generalist predator, Publication date: 2021.
- Bifurcation analysis of a predator-prey model with predator intraspecific interactions and ratio-dependent functional response, Publication date: 2020.
- Bifurcation analysis of a predator-prey model with predator intraspecific interactions and ratio-dependent functional response, Publication date: 2021.
- A Holling–Tanner predator–prey model with strong Allee effect, Publication date: 2019.
- Bifurcations and multistability on the May-Holling-Tanner predation model considering alternative food for the predators, Publication date: 2019.
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