5 papers
Interpreting how nonlinear diffusion affects the fate of bistable populations using a discrete modelling framework
Yifei Li, Pascal R. Buenzli, Matthew J. Simpson
Understanding whether a population will survive and flourish or become extinct is a central question in population biology. One way of exploring this question is to study populatio…
Extinction of bistable populations is affected by the shape of their initial spatial distribution
Yifei Li, Stuart T. Johnston, Pascal R. Buenzli +2
The question of whether biological populations survive or are eventually driven to extinction has long been examined using mathematical models. In this work we study population sur…
An energy-stable parametric finite element method for anisotropic surface diffusion
Yifei Li, Weizhu Bao
We propose an energy-stable parametric finite element method (ES-PFEM) to discretize the motion of a closed curve under surface diffusion with an anisotropic surface energy …
Shock-fronted travelling waves in a reaction-diffusion model with nonlinear forward-backward-forward diffusion
Yifei Li, Peter van Heijster, Matthew J. Simpson +1
Reaction-diffusion equations (RDEs) are often derived as continuum limits of lattice-based discrete models. Recently, a discrete model which allows the rates of movement, prolifera…
Travelling wave solutions in a negative nonlinear diffusion-reaction model
Yifei Li, Peter van Heijster, Robert Marangell +1
We use a geometric approach to prove the existence of smooth travelling wave solutions of a nonlinear diffusion-reaction equation with logistic kinetics and a convex nonlinear diff…