**Periodic solutions for a predator-prey model with Holling-type functional response and time delays.** / Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.

Research output: Contribution to journal › Article

Xu, R, Chaplain, MAJ & Davidson, FA 2005, 'Periodic solutions for a predator-prey model with Holling-type functional response and time delays' *Applied Mathematics and Computation*, vol 161, no. 2, pp. 637-654. DOI: 10.1016/j.amc.2003.12.054

Xu, R., Chaplain, M. A. J., & Davidson, F. A. (2005). *Periodic solutions for a predator-prey model with Holling-type functional response and time delays*. *Applied Mathematics and Computation*, *161*(2), 637-654. DOI: 10.1016/j.amc.2003.12.054

Xu R, Chaplain MAJ, Davidson FA. Periodic solutions for a predator-prey model with Holling-type functional response and time delays. Applied Mathematics and Computation. 2005;161(2):637-654. Available from, DOI: 10.1016/j.amc.2003.12.054

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title = "Periodic solutions for a predator-prey model with Holling-type functional response and time delays",

keywords = "Predator-prey system, Time delay, Periodic solution, Lyapunov functional, Global stability",

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

note = "dc.publisher: Elsevier",

year = "2005",

doi = "10.1016/j.amc.2003.12.054",

volume = "161",

pages = "637--654",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

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TY - JOUR

T1 - Periodic solutions for a predator-prey model with Holling-type functional response and time delays

AU - Xu,Rui

AU - Chaplain,M. A. J.

AU - Davidson,F. A.

N1 - dc.publisher: Elsevier

PY - 2005

Y1 - 2005

N2 - A delayed periodic Holling-type predator–prey model without instantaneous negative feedback is investigated. By using the continuation theorem of coincidence degree theory and by constructing suitable Lyapunov functionals, a set of easily verifiable sufficient conditions are derived for the existence, uniqueness and global stability of positive periodic solutions to the model. Numerical simulation is carried out to illustrate the feasibility of our main results.

AB - A delayed periodic Holling-type predator–prey model without instantaneous negative feedback is investigated. By using the continuation theorem of coincidence degree theory and by constructing suitable Lyapunov functionals, a set of easily verifiable sufficient conditions are derived for the existence, uniqueness and global stability of positive periodic solutions to the model. Numerical simulation is carried out to illustrate the feasibility of our main results.

KW - Predator-prey system

KW - Time delay

KW - Periodic solution

KW - Lyapunov functional

KW - Global stability

U2 - 10.1016/j.amc.2003.12.054

DO - 10.1016/j.amc.2003.12.054

M3 - Article

VL - 161

SP - 637

EP - 654

JO - Applied Mathematics and Computation

T2 - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

SN - 0096-3003

IS - 2

ER -