Minimal travelling wave speed and explicit solutions in monostable reaction-diffusion equations

Autor: Elaine Crooks, Michael Grinfeld

Publikováno v: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2020, Iss 79, Pp 1-9 (2020)

We investigate the connection between the existence of an explicit travelling wave solution and the travelling wave with minimal speed in a scalar monostable reaction-diffusion equation.

Externí odkaz: https://doaj.org/article/2fae57c19d2343adabf2022c30c882a9

Individual Variability in Dispersal and Invasion Speed

Autor: Aled Morris, Luca Börger, Elaine Crooks

Publikováno v: Mathematics, Vol 7, Iss 9, p 795 (2019)

We model the growth, dispersal and mutation of two phenotypes of a species using reaction−diffusion equations, focusing on the biologically realistic case of small mutation rates. Having verified that the addition of a small linear mutation term to

Externí odkaz: https://doaj.org/article/10acb8782cca446f9febda666cc61221

Compensated Convexity on Bounded Domains, Mixed Moreau Envelopes and Computational Methods

Autor: Kewei Zhang, Elaine Crooks, Antonio Orlando

Compensated convex transforms have been introduced for extended real-valued functions defined over $\mathbb{R}^n$. In their application to image processing, interpolation, and shape interrogation, where one deals with functions defined over a bounded

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::034e06e6103a09b6a870e0767a943ba9

Self-similar fast-reaction limits for reaction–diffusion systems on unbounded domains

Autor: Elaine Crooks, Danielle Hilhorst

Publikováno v: Journal of Differential Equations. 261:2210-2250

We present a unified approach to characterising fast-reaction limits of systems of either two reaction–diffusion equations, or one reaction–diffusion equation and one ordinary differential equation, on unbounded domains, motivated by models of fa

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1413f1cb577842bc42bde19b60d275d5
https://doi.org/10.1016/j.jde.2016.04.028

Luck in Food-Finding Affects Individual Performance and Population Trajectories

Autor: Emily L. C. Shepard, Rory P. Wilson, D. Michael Scantlebury, Agustina di Virgilio, Elaine Crooks, Mark D. Holton, Christina C. Mulvenna, Sergio A. Lambertucci, Nikki J. Marks, Andrew Neate

Publikováno v: Wilson, R P, Neate, A, Holton, M D, Shepard, E L C, Scantlebury, D M, Lambertucci, S A, Di Virgilio, A, Crooks, E, Mulvenna, C & Marks, N 2018, ' Luck in Food-finding Affects Individual Performance and Population Trajectories ', Current Biology, vol. 28, no. 23, pp. 3871-3877.e5 . https://doi.org/10.1016/j.cub.2018.10.034

Energy harvesting by animals is important because it provides the power needed for all metabolic processes. Beyond this, efficient food finding enhances individual fitness [1] and population viability [2], although rates of energy accumulation are af

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c873d5c23fcf203ddf8133650034424e
https://doi.org/10.2139/ssrn.3219288