Persistence, stability and level crossings in an integrodifferential system

X. Z. He; K. Gopalsamy

doi:10.1007/BF00160166

Persistence, stability and level crossings in an integrodifferential system

X. Z. He^*
, K. Gopalsamy

^*Corresponding author for this work

Flinders University

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

6 Citations (Scopus)

Abstract

Dynamical characteristics of an integrodifferential system modelling two species competition with hereditary effects are investigated; in particular we derive sufficient conditions for the persistence of the species, existence of an attracting periodic solution and ‘level-crossings’ of solutions about the periodic solution.

Original language	English
Pages (from-to)	395-426
Number of pages	32
Journal	Journal of Mathematical Biology
Volume	32
Issue number	5
DOIs	https://doi.org/10.1007/BF00160166
Publication status	Published - May 1994
Externally published	Yes

Keywords

Lyapunov functional
Uniform persistence
level-crossing
stability

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10.1007/BF00160166

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@article{d36244ebc6bf44f5ae0490885e0afc73,

title = "Persistence, stability and level crossings in an integrodifferential system",

abstract = "Dynamical characteristics of an integrodifferential system modelling two species competition with hereditary effects are investigated; in particular we derive sufficient conditions for the persistence of the species, existence of an attracting periodic solution and {\textquoteleft}level-crossings{\textquoteright} of solutions about the periodic solution.",

keywords = "Lyapunov functional, Uniform persistence, level-crossing, stability",

author = "He, \{X. Z.\} and K. Gopalsamy",

year = "1994",

month = may,

doi = "10.1007/BF00160166",

language = "English",

volume = "32",

pages = "395--426",

journal = "Journal of Mathematical Biology",

issn = "0303-6812",

number = "5",

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TY - JOUR

T1 - Persistence, stability and level crossings in an integrodifferential system

AU - He, X. Z.

AU - Gopalsamy, K.

PY - 1994/5

Y1 - 1994/5

N2 - Dynamical characteristics of an integrodifferential system modelling two species competition with hereditary effects are investigated; in particular we derive sufficient conditions for the persistence of the species, existence of an attracting periodic solution and ‘level-crossings’ of solutions about the periodic solution.

AB - Dynamical characteristics of an integrodifferential system modelling two species competition with hereditary effects are investigated; in particular we derive sufficient conditions for the persistence of the species, existence of an attracting periodic solution and ‘level-crossings’ of solutions about the periodic solution.

KW - Lyapunov functional

KW - Uniform persistence

KW - level-crossing

KW - stability

UR - https://www.scopus.com/pages/publications/0002623295

U2 - 10.1007/BF00160166

DO - 10.1007/BF00160166

M3 - Article

AN - SCOPUS:0002623295

SN - 0303-6812

VL - 32

SP - 395

EP - 426

JO - Journal of Mathematical Biology

JF - Journal of Mathematical Biology

IS - 5

ER -

Persistence, stability and level crossings in an integrodifferential system

Abstract

Keywords

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