Multiple positive periodic solutions for a delay host macroparasite model

Shangbing Ai

doi:10.3934/cpaa.2004.3.175

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2004, Volume 3, Issue 2: 175-182. Doi: 10.3934/cpaa.2004.3.175

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Multiple positive periodic solutions for a delay host macroparasite model

Shangbing Ai^1,

1.
Department of Mathematical Sciences, University of Alabama in Huntsville, Huntsville, AL 35899

Received: April 30, 2003

Revised: December 31, 2002

Published: May 2004

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Abstract

A scalar non-autonomous periodic differential equation with delays arising from a delay host macroparasite model is studied. Two results are presented for the equation to have at least two positive periodic solutions: the hypotheses of the first result involve delays, while the second result holds for arbitrary delays.

Keywords:

Delay host macroparasite model,
multiple positive periodic solutions,
Schauder's and Krasnosel' skii's fixed point theorems.

Mathematics Subject Classification: 34K13, 92B05, 92D25.

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