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

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

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Agarwal, RP;O'Regan, D;Saker, SH

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10.1016/j.amc.2007.05.057

Cite this

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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",

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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

Authors (Note for portal: view the doc link for the full list of authors)

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