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

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

46 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

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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.",

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