Blow-up in a network mutualistic model

Zuhan Liu; Jing Chen; Canrong Tian

doi:10.1016/j.aml.2020.106402

Blow-up in a network mutualistic model

Zuhan Liu
, Jing Chen
, Canrong Tian

Department of Mathematics

Research output: Contribution to journal › Article

3 Scopus citations

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.

Original language	American English
Article number	106402
Journal	Applied Mathematics Letters
Volume	106
DOIs	https://doi.org/10.1016/j.aml.2020.106402
State	Published - Aug 1 2020

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http://nsuworks.nova.edu/math_facarticles/328

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title = "Blow-up in a network mutualistic model",

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.",

author = "Zuhan Liu and Jing Chen and Canrong Tian",

year = "2020",

month = aug,

day = "1",

doi = "10.1016/j.aml.2020.106402",

language = "American English",

volume = "106",

journal = "Applied Mathematics Letters",

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AU - Chen, Jing

AU - Tian, Canrong

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N2 - 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.

AB - 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.

U2 - 10.1016/j.aml.2020.106402

DO - 10.1016/j.aml.2020.106402

M3 - Article

SN - 0893-9659

VL - 106

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

M1 - 106402

ER -

Blow-up in a network mutualistic model

Abstract

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