On diffusion-induced blowups in a mutualistic model

Yuan Lou; Thomas Nagylaki; Wei Ming Ni

doi:10.1016/S0362-546X(99)00346-6

On diffusion-induced blowups in a mutualistic model

Yuan Lou, Thomas Nagylaki, Wei Ming Ni

School of Mathematics

Research output: Contribution to journal › Article › peer-review

40 Scopus citations

Abstract

The effect of diffusion on the blowup of solutions of the semilinear parabolic system was studied using a mutualistic model. The semilinear parabolic system includes a Laplace operator, a bounded domain with a smooth boundary, a closure function, an outward unit normal vector on the closure function, and a function for the maximal existence time of the solution. Theorems proved have considered both fast and slow diffusion rates.

Original language	English (US)
Pages (from-to)	329-342
Number of pages	14
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	45
Issue number	3
DOIs	https://doi.org/10.1016/S0362-546X(99)00346-6
State	Published - Jul 2001

Bibliographical note

Funding Information:
We would like to thank Profs. Iida, Ninomiya, Weinberger and Yanagida for sending us their preprints. We thank the referee for pointing out an error in our first draft. Y.L. was partially supported by NSF grant DMS-9022140, NSF grant DMS-9801609 and Ohio State University Seed Grant; T.N. was supported by NSF grant DEB-9706912; W.-M.N. was supported by NSF grant DMS-9705639.

Keywords

Blowup
Diffusion
Ecology
Mutualistic model

Publisher link

10.1016/S0362-546X(99)00346-6

Find It

Find It at U of M Libraries

Cite this

@article{53fa4c551dfa4f3eb4fb640184172aa6,

title = "On diffusion-induced blowups in a mutualistic model",

abstract = "The effect of diffusion on the blowup of solutions of the semilinear parabolic system was studied using a mutualistic model. The semilinear parabolic system includes a Laplace operator, a bounded domain with a smooth boundary, a closure function, an outward unit normal vector on the closure function, and a function for the maximal existence time of the solution. Theorems proved have considered both fast and slow diffusion rates.",

keywords = "Blowup, Diffusion, Ecology, Mutualistic model",

author = "Yuan Lou and Thomas Nagylaki and Ni, {Wei Ming}",

note = "Funding Information: We would like to thank Profs. Iida, Ninomiya, Weinberger and Yanagida for sending us their preprints. We thank the referee for pointing out an error in our first draft. Y.L. was partially supported by NSF grant DMS-9022140, NSF grant DMS-9801609 and Ohio State University Seed Grant; T.N. was supported by NSF grant DEB-9706912; W.-M.N. was supported by NSF grant DMS-9705639. ",

year = "2001",

month = jul,

doi = "10.1016/S0362-546X(99)00346-6",

language = "English (US)",

volume = "45",

pages = "329--342",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

publisher = "Elsevier Ltd",

number = "3",

}

TY - JOUR

T1 - On diffusion-induced blowups in a mutualistic model

AU - Lou, Yuan

AU - Nagylaki, Thomas

AU - Ni, Wei Ming

N1 - Funding Information: We would like to thank Profs. Iida, Ninomiya, Weinberger and Yanagida for sending us their preprints. We thank the referee for pointing out an error in our first draft. Y.L. was partially supported by NSF grant DMS-9022140, NSF grant DMS-9801609 and Ohio State University Seed Grant; T.N. was supported by NSF grant DEB-9706912; W.-M.N. was supported by NSF grant DMS-9705639.

PY - 2001/7

Y1 - 2001/7

N2 - The effect of diffusion on the blowup of solutions of the semilinear parabolic system was studied using a mutualistic model. The semilinear parabolic system includes a Laplace operator, a bounded domain with a smooth boundary, a closure function, an outward unit normal vector on the closure function, and a function for the maximal existence time of the solution. Theorems proved have considered both fast and slow diffusion rates.

AB - The effect of diffusion on the blowup of solutions of the semilinear parabolic system was studied using a mutualistic model. The semilinear parabolic system includes a Laplace operator, a bounded domain with a smooth boundary, a closure function, an outward unit normal vector on the closure function, and a function for the maximal existence time of the solution. Theorems proved have considered both fast and slow diffusion rates.

KW - Blowup

KW - Diffusion

KW - Ecology

KW - Mutualistic model

UR - http://www.scopus.com/inward/record.url?scp=0035392126&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035392126&partnerID=8YFLogxK

U2 - 10.1016/S0362-546X(99)00346-6

DO - 10.1016/S0362-546X(99)00346-6

M3 - Article

AN - SCOPUS:0035392126

SN - 0362-546X

VL - 45

SP - 329

EP - 342

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 3

ER -

On diffusion-induced blowups in a mutualistic model

Abstract

Bibliographical note

Keywords

Publisher link

Find It

Other files and links

Fingerprint

Cite this