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Fairy circle landscapes formed in the Great Barrier Reef…but how?

Destabilising feedbacks between ecology and the local physical environment yield spatial pattern formation in various contexts throughout nature. For example, these feedbacks can lead to ring-shaped pattern formation in the spatial distribution of submerged aquatic plants. Recently, unusual crater-like structures have been identified in a large area of the Great Barrier Reef where the algae genus Halimeda constructs mounds called 'bioherms'.This project seeks to use partial differential equation models of the spatial growth of Halimeda to identify whether its long-term …

Study level
PhD, Master of Philosophy, Honours, Vacation research experience scheme
Faculty
Faculty of Science
School
School of Mathematical Sciences
Research centre(s)
Centre for Data Science
Centre for the Environment

Equation learning for partial differential equation models of stochastic random walk models

Random walk models are often used to represent the motion of biological cells. These models are convenient because they allow us to capture randomness and variability. However, these approaches can be computationally demanding for large populations.One way to overcome the computational limitation of using random walk models is to take a continuum limit description, which can efficiently provide insight into the underlying transport phenomena.While many continuum limit descriptions for homogeneous random walk models are available, continuum limit descriptions for heterogeneous …

Study level
PhD, Master of Philosophy, Honours, Vacation research experience scheme
Faculty
Faculty of Science
School
School of Mathematical Sciences
Research centre(s)
Centre for Data Science

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