A free boundary problem in ecology

Masayasu Mimura; Yoshio Yamada; Shoji Yotsutani

doi:10.1007/BF03167042

A free boundary problem in ecology

Masayasu Mimura^*, Yoshio Yamada, Shoji Yotsutani

^*Corresponding author for this work

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

55 Citations (Scopus)

Abstract

This article is concerned with a free boundary problem for semilinear parabolic equations, which describes the habitat segregation phenomenon in population ecology. The main purpose is to show the global existence, uniqueness, regularity and asymptotic behavior of solutions for the problem. The asymptotic stability or instability of each solution is completely determined using the comparison theorem.

Original language	English
Pages (from-to)	151-186
Number of pages	36
Journal	Japan Journal of Applied Mathematics
Volume	2
Issue number	1
DOIs	https://doi.org/10.1007/BF03167042
Publication status	Published - 1985 Jun
Externally published	Yes

Keywords

asymptotic stability
comparison theorems
evolution equations
free boundary problems
population dynamics

ASJC Scopus subject areas

Engineering(all)
Applied Mathematics

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10.1007/BF03167042

Cite this

@article{1d2838a4fcf34935868bf69dd7746386,

title = "A free boundary problem in ecology",

abstract = "This article is concerned with a free boundary problem for semilinear parabolic equations, which describes the habitat segregation phenomenon in population ecology. The main purpose is to show the global existence, uniqueness, regularity and asymptotic behavior of solutions for the problem. The asymptotic stability or instability of each solution is completely determined using the comparison theorem.",

keywords = "asymptotic stability, comparison theorems, evolution equations, free boundary problems, population dynamics",

author = "Masayasu Mimura and Yoshio Yamada and Shoji Yotsutani",

year = "1985",

month = jun,

doi = "10.1007/BF03167042",

language = "English",

volume = "2",

pages = "151--186",

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AU - Yamada, Yoshio

AU - Yotsutani, Shoji

PY - 1985/6

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N2 - This article is concerned with a free boundary problem for semilinear parabolic equations, which describes the habitat segregation phenomenon in population ecology. The main purpose is to show the global existence, uniqueness, regularity and asymptotic behavior of solutions for the problem. The asymptotic stability or instability of each solution is completely determined using the comparison theorem.

AB - This article is concerned with a free boundary problem for semilinear parabolic equations, which describes the habitat segregation phenomenon in population ecology. The main purpose is to show the global existence, uniqueness, regularity and asymptotic behavior of solutions for the problem. The asymptotic stability or instability of each solution is completely determined using the comparison theorem.

KW - asymptotic stability

KW - comparison theorems

KW - evolution equations

KW - free boundary problems

KW - population dynamics

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A free boundary problem in ecology

Abstract

Keywords

ASJC Scopus subject areas

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