146 citations · 615 across the 23 of their papers we have counts for
25 papers
Simulating how animals learn: a new modelling framework applied to the process of optimal foraging
Peter R. Thompson, Melodie Kunegel-Lion, Mark A. Lewis
Animal learning has interested ecologists and psychologists for over a century. Mathematical models that explain how animals store and recall information have gained attention rece…
Coupling the socio-economic and ecological dynamics of cyanobacteria: single lake and network dynamics
Christopher M. Heggerud, Hao Wang, Mark A. Lewis
In recent decades freshwater lakes have seen an increase in human presence. A common byproduct of this human presence is eutrophication, which readily results in harmful cyanobacte…
Local and Global Existence for Non-local Multi-Species Advection-Diffusion Models
Valeria Giunta, Thomas Hillen, Mark A. Lewis +1
Non-local advection is a key process in a range of biological systems, from cells within individuals to the movement of whole organisms. Consequently, in recent years, there has be…
Boosting propagule transport models with individual-specific data from mobile apps
Samuel M. Fischer, Pouria Ramazi, Sean Simmons +2
Management of invasive species and pathogens requires information about the traffic of potential vectors. Such information is often taken from vector traffic models fitted to surve…
A framework for studying transients in marine metapopulations
Peter D. Harrington, Mark A. Lewis, P. van den Driessche
Transient dynamics can often differ drastically from the asymptotic dynamics of systems. In this paper we provide a unifying framework for analysing transient dynamics in marine me…
Detecting seasonal episodic-like spatiotemporal memory patterns using animal movement modelling
Peter R. Thompson, Andrew E. Derocher, Mark A. Edwards +1
1. Spatial memory plays a role in the way animals perceive their environments, resulting in memory-informed movement patterns that are observable to ecologists. Developing mathemat…