Oscillation and global attractivity in a delay periodic host macroparasite model

R. P. Agarwal; Donal O'Regan; S. H. Saker

doi:10.1016/j.amc.2007.05.057

Oscillation and global attractivity in a delay periodic host macroparasite model

R. P. Agarwal
, Donal O'Regan
, S. H. Saker

Mathematics

Florida Institute of Technology
Faculty of Science

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

5 Citations (Scopus)

Abstract

In this paper, we shall consider the nonlinear delay host macroparasite model with periodic coefficients (with common period ω). By means of a continuation theorem in coincidence degree theory, we establish a sufficient condition for the existence of a positive periodic solution over(M, -) (t) with strictly positive components. Also, we establish some sufficient conditions for oscillation of all positive solutions about the positive periodic solution over(M, -) (t) and establish a sufficient condition for the global attractivity of over(M, -) (t).

Original language	English
Pages (from-to)	340-352
Number of pages	13
Journal	Applied Mathematics and Computation
Volume	196
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2007.05.057
Publication status	Published - 15 Feb 2008

Keywords

Continuation theorem
Delay differential equation
Global attractivity
Macroparasite model
Periodic solution

Access to Document

10.1016/j.amc.2007.05.057

Cite this

@article{5eb2ae98e4a743fd8a71c1e97bc98729,

title = "Oscillation and global attractivity in a delay periodic host macroparasite model",

abstract = "In this paper, we shall consider the nonlinear delay host macroparasite model with periodic coefficients (with common period ω). By means of a continuation theorem in coincidence degree theory, we establish a sufficient condition for the existence of a positive periodic solution over(M, -) (t) with strictly positive components. Also, we establish some sufficient conditions for oscillation of all positive solutions about the positive periodic solution over(M, -) (t) and establish a sufficient condition for the global attractivity of over(M, -) (t).",

keywords = "Continuation theorem, Delay differential equation, Global attractivity, Macroparasite model, Periodic solution",

author = "Agarwal, \{R. P.\} and Donal O'Regan and Saker, \{S. H.\}",

year = "2008",

month = feb,

day = "15",

doi = "10.1016/j.amc.2007.05.057",

language = "English",

volume = "196",

pages = "340--352",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

publisher = "Elsevier Inc.",

number = "1",

}

TY - JOUR

T1 - Oscillation and global attractivity in a delay periodic host macroparasite model

AU - Agarwal, R. P.

AU - O'Regan, Donal

AU - Saker, S. H.

PY - 2008/2/15

Y1 - 2008/2/15

N2 - In this paper, we shall consider the nonlinear delay host macroparasite model with periodic coefficients (with common period ω). By means of a continuation theorem in coincidence degree theory, we establish a sufficient condition for the existence of a positive periodic solution over(M, -) (t) with strictly positive components. Also, we establish some sufficient conditions for oscillation of all positive solutions about the positive periodic solution over(M, -) (t) and establish a sufficient condition for the global attractivity of over(M, -) (t).

AB - In this paper, we shall consider the nonlinear delay host macroparasite model with periodic coefficients (with common period ω). By means of a continuation theorem in coincidence degree theory, we establish a sufficient condition for the existence of a positive periodic solution over(M, -) (t) with strictly positive components. Also, we establish some sufficient conditions for oscillation of all positive solutions about the positive periodic solution over(M, -) (t) and establish a sufficient condition for the global attractivity of over(M, -) (t).

KW - Continuation theorem

KW - Delay differential equation

KW - Global attractivity

KW - Macroparasite model

KW - Periodic solution

UR - https://www.scopus.com/pages/publications/38049095544

U2 - 10.1016/j.amc.2007.05.057

DO - 10.1016/j.amc.2007.05.057

M3 - Article

SN - 0096-3003

VL - 196

SP - 340

EP - 352

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 1

ER -

Oscillation and global attractivity in a delay periodic host macroparasite model

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this