Invasion and non-invasion on a time-periodic domain (2302.09001v1)

Abstract: For a two-species reaction-diffusion-competition system on a domain that translates at constant speed and/or whose boundary varies periodically with time, we prove sufficient conditions such that one species can, and cannot, invade an established population of the other. These results extend those of Potapov and Lewis (2004) to the periodic case, and to more general reaction terms.