On the classification of generalized competitive Atkinson-Allen models via the dynamics on the boundary of the carrying simplex

Mats Gyllenberg; Jifa Jiang; Lei Niu; Ping Yan

doi:10.3934/dcds.2018027

On the classification of generalized competitive Atkinson-Allen models via the dynamics on the boundary of the carrying simplex

Mats Gyllenberg, Jifa Jiang, Lei Niu, Ping Yan

Department of Mathematics and Statistics

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

Original language	English
Journal	Discrete and continuous dynamical systems
Volume	38
Issue number	2
Pages (from-to)	615-650
Number of pages	36
ISSN	1078-0947
DOIs	https://doi.org/10.3934/dcds.2018027
Publication status	Published - Feb 2018
MoE publication type	A1 Journal article-refereed

Fields of Science

Discrete-time competitive model
carrying simplex
generalized competitive Atkinson-Allen model
classification
Neimark-Sacker bifurcation
Chenciner bifurcation
invariant closed curve
heteroclinic cycle
LOTKA-VOLTERRA SYSTEMS
3 LIMIT-CYCLES
EQUIVALENT CLASSIFICATION
DIFFERENTIAL-EQUATIONS
KOLMOGOROV SYSTEMS
HETEROCLINIC CYCLE
POPULATION-MODELS
GLOBAL STABILITY
FIXED-POINTS
SIMPLICES
111 Mathematics

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10.3934/dcds.2018027

On the classification of generalized competitive Atkinson-Allen models via the dynamics on the boundary of the carrying simplexAccepted author manuscript, 2.98 MB

Cite this

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title = "On the classification of generalized competitive Atkinson-Allen models via the dynamics on the boundary of the carrying simplex",

keywords = "Discrete-time competitive model, carrying simplex, generalized competitive Atkinson-Allen model, classification, Neimark-Sacker bifurcation, Chenciner bifurcation, invariant closed curve, heteroclinic cycle, LOTKA-VOLTERRA SYSTEMS, 3 LIMIT-CYCLES, EQUIVALENT CLASSIFICATION, DIFFERENTIAL-EQUATIONS, KOLMOGOROV SYSTEMS, HETEROCLINIC CYCLE, POPULATION-MODELS, GLOBAL STABILITY, FIXED-POINTS, SIMPLICES, 111 Mathematics",

author = "Mats Gyllenberg and Jifa Jiang and Lei Niu and Ping Yan",

year = "2018",

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doi = "10.3934/dcds.2018027",

language = "English",

volume = "38",

pages = "615--650",

journal = "Discrete and continuous dynamical systems",

issn = "1078-0947",

publisher = "American Institute of Mathematical Sciences",

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T1 - On the classification of generalized competitive Atkinson-Allen models via the dynamics on the boundary of the carrying simplex

AU - Gyllenberg, Mats

AU - Jiang, Jifa

AU - Niu, Lei

AU - Yan, Ping

PY - 2018/2

Y1 - 2018/2

KW - Discrete-time competitive model

KW - carrying simplex

KW - generalized competitive Atkinson-Allen model

KW - classification

KW - Neimark-Sacker bifurcation

KW - Chenciner bifurcation

KW - invariant closed curve

KW - heteroclinic cycle

KW - LOTKA-VOLTERRA SYSTEMS

KW - 3 LIMIT-CYCLES

KW - EQUIVALENT CLASSIFICATION

KW - DIFFERENTIAL-EQUATIONS

KW - KOLMOGOROV SYSTEMS

KW - HETEROCLINIC CYCLE

KW - POPULATION-MODELS

KW - GLOBAL STABILITY

KW - FIXED-POINTS

KW - SIMPLICES

KW - 111 Mathematics

U2 - 10.3934/dcds.2018027

DO - 10.3934/dcds.2018027

M3 - Article

SN - 1078-0947

VL - 38

SP - 615

EP - 650

JO - Discrete and continuous dynamical systems

JF - Discrete and continuous dynamical systems

IS - 2

ER -