Mathematics Faculty Articles

Blow-up in a network mutualistic model

Document Type

Article

Publication Date

8-1-2020

Publication Title

Applied Mathematics Letters

Keywords

Blow-up, Network, Upper and lower solutions

ISSN

08939659

Volume

106

Abstract

A graph Laplacian reaction–diffusion system is introduced to describe a network mutualistic model of population ecology. By the approach of upper and lower solutions, we show that the strong mutualistic system occurs blow-up if the intrinsic growth rates of population are large.

DOI

10.1016/j.aml.2020.106402

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