Almost periodic solutions for a Volterra model with mutual interference and Holling type III functional response

Cong Zhang; Nan Jing Huang; Donal O'Regan

doi:10.1016/j.amc.2013.09.047

Almost periodic solutions for a Volterra model with mutual interference and Holling type III functional response

Cong Zhang
, Nan Jing Huang
, Donal O'Regan

Mathematics

Sichuan University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

10 Citations (Scopus)

Abstract

In this paper, by applying the comparison theorem on the differential equation and constructing a suitable Lyapunov function, a Lotka-Volterra model with mutual interference and Holling III type functional response is introduced and studied. Some sufficient conditions which guarantee the permanence and existence of a unique globally attractive positive almost periodic solution of the model are obtained.

Original language	English
Pages (from-to)	503-511
Number of pages	9
Journal	Applied Mathematics and Computation
Volume	225
DOIs	https://doi.org/10.1016/j.amc.2013.09.047
Publication status	Published - 2013

Keywords

Almost periodic solution
Holling type
Mutual interference
Volterra model

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10.1016/j.amc.2013.09.047

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title = "Almost periodic solutions for a Volterra model with mutual interference and Holling type III functional response",

abstract = "In this paper, by applying the comparison theorem on the differential equation and constructing a suitable Lyapunov function, a Lotka-Volterra model with mutual interference and Holling III type functional response is introduced and studied. Some sufficient conditions which guarantee the permanence and existence of a unique globally attractive positive almost periodic solution of the model are obtained.",

keywords = "Almost periodic solution, Holling type, Mutual interference, Volterra model",

author = "Cong Zhang and Huang, \{Nan Jing\} and Donal O'Regan",

year = "2013",

doi = "10.1016/j.amc.2013.09.047",

language = "English",

volume = "225",

pages = "503--511",

journal = "Applied Mathematics and Computation",

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TY - JOUR

T1 - Almost periodic solutions for a Volterra model with mutual interference and Holling type III functional response

AU - Zhang, Cong

AU - Huang, Nan Jing

AU - O'Regan, Donal

PY - 2013

Y1 - 2013

N2 - In this paper, by applying the comparison theorem on the differential equation and constructing a suitable Lyapunov function, a Lotka-Volterra model with mutual interference and Holling III type functional response is introduced and studied. Some sufficient conditions which guarantee the permanence and existence of a unique globally attractive positive almost periodic solution of the model are obtained.

AB - In this paper, by applying the comparison theorem on the differential equation and constructing a suitable Lyapunov function, a Lotka-Volterra model with mutual interference and Holling III type functional response is introduced and studied. Some sufficient conditions which guarantee the permanence and existence of a unique globally attractive positive almost periodic solution of the model are obtained.

KW - Almost periodic solution

KW - Holling type

KW - Mutual interference

KW - Volterra model

UR - https://www.scopus.com/pages/publications/84887096626

U2 - 10.1016/j.amc.2013.09.047

DO - 10.1016/j.amc.2013.09.047

M3 - Article

SN - 0096-3003

VL - 225

SP - 503

EP - 511

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

Almost periodic solutions for a Volterra model with mutual interference and Holling type III functional response

Abstract

Keywords

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