Periodic solutions of a discrete nonautonomous Lotka-Volterra predator-prey model with time delays

Rui Xu; M. A. J. Chaplain; F. A. Davidson

doi:10.3934/dcdsb.2004.4.823

Periodic solutions of a discrete nonautonomous Lotka-Volterra predator-prey model with time delays

Rui Xu
, M. A. J. Chaplain
, F. A. Davidson

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

12 Citations (Scopus)

Abstract

A discrete periodic two-species Lotka-Volterra predator-prey model with time delays is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions are derived for the existence of positive periodic solutions of the model.

Original language	English
Pages (from-to)	823-831
Number of pages	9
Journal	Discrete and Continuous Dynamical Systems - Series B (DCDS-B)
Volume	4
Issue number	3
DOIs	https://doi.org/10.3934/dcdsb.2004.4.823
Publication status	Published - 2004

Keywords

Discrete predator prey model
Time delay
Periodic solution
Coincidence degree

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10.3934/dcdsb.2004.4.823

Cite this

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title = "Periodic solutions of a discrete nonautonomous Lotka-Volterra predator-prey model with time delays",

abstract = "A discrete periodic two-species Lotka-Volterra predator-prey model with time delays is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions are derived for the existence of positive periodic solutions of the model.",

keywords = "Discrete predator prey model, Time delay, Periodic solution, Coincidence degree",

author = "Rui Xu and Chaplain, \{M. A. J.\} and Davidson, \{F. A.\}",

note = "dc.publisher: American Institute of Mathematical Sciences ",

year = "2004",

doi = "10.3934/dcdsb.2004.4.823",

language = "English",

volume = "4",

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journal = "Discrete and Continuous Dynamical Systems - Series B (DCDS-B)",

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AU - Xu, Rui

AU - Chaplain, M. A. J.

AU - Davidson, F. A.

N1 - dc.publisher: American Institute of Mathematical Sciences

PY - 2004

Y1 - 2004

N2 - A discrete periodic two-species Lotka-Volterra predator-prey model with time delays is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions are derived for the existence of positive periodic solutions of the model.

AB - A discrete periodic two-species Lotka-Volterra predator-prey model with time delays is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions are derived for the existence of positive periodic solutions of the model.

KW - Discrete predator prey model

KW - Time delay

KW - Periodic solution

KW - Coincidence degree

U2 - 10.3934/dcdsb.2004.4.823

DO - 10.3934/dcdsb.2004.4.823

M3 - Article

SN - 1531-3492

VL - 4

SP - 823

EP - 831

JO - Discrete and Continuous Dynamical Systems - Series B (DCDS-B)

JF - Discrete and Continuous Dynamical Systems - Series B (DCDS-B)

IS - 3

ER -

Periodic solutions of a discrete nonautonomous Lotka-Volterra predator-prey model with time delays

Abstract

Keywords

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