Spreading speeds and monostable waves in a reaction-diffusion model with nonlinear competition

Autor:	Qiming Zhang, Yazhou Han, Wim T. van Horssen, Manjun Ma
Rok vydání:	2022
Předmět:	Linear selection Lotka-Volterra model Applied Mathematics Spreading speed Cubic competition Minimal wave speed Analysis
Zdroj:	Journal of Mathematical Analysis and Applications, 511(2)
ISSN:	0022-247X
DOI:	10.1016/j.jmaa.2022.126077
Popis:	In this paper the wave propagation dynamics of a Lotka-Volterra type of model with cubic competition is studied. The existence of traveling waves and the uniqueness of spreading speeds are established. It is also shown that the spreading speed is equal to the minimal speed for traveling waves. Furthermore, general conditions for the linear or nonlinear selection of the spreading speed are obtained by using the comparison principle and the decay characteristics for traveling waves. By constructing upper solutions, explicit conditions to determine the linear selection of the spreading speed are derived.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e6c53f726d5af2a05f07be6f06889744 https://doi.org/10.1016/j.jmaa.2022.126077 Zobrazit plný text záznamu Full Text from ScienceDirect