no code implementations • 18 Mar 2024 • King-Yeung Lam, Ray Lee
Inspired by recent studies associating shifting temperature conditions with changes in the efficiency of predator species in converting their prey to offspring, we propose a predator-prey model of reaction-diffusion type to analyze the consequence of such effects on the population dynamics and spread of species.
no code implementations • 6 Sep 2021 • Christopher M. Heggerud, King-Yeung Lam, Hao Wang
The paradox of the plankton highlights the apparent contradiction between Gause's law of competitive exclusion and the observed diversity of phytoplankton.
no code implementations • 17 Jan 2021 • King-Yeung Lam, Xiao Yu
We study the asymptotic spreading of Kolmogorov-Petrovsky-Piskunov (KPP) fronts in heterogeneous shifting habitats, with any number of shifting speeds, by further developing the method based on the theory of viscosity solutions of Hamilton-Jacobi equations.
Analysis of PDEs 35B40, 35K57, 35R10, 35D40
