ON THE NUMBER OF POSITIVE PERIODIC SOLUTIONS OF FUNCTIONAL DIFFERENTIAL EQUATIONS AND POPULATION MODELS-Reference-Cited by-同舟云学术

ON THE NUMBER OF POSITIVE PERIODIC SOLUTIONS OF FUNCTIONAL DIFFERENTIAL EQUATIONS AND POPULATION MODELS

Published:2005-04 Issue:04 Volume:15 Page:555-573
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

JIANG DAQING¹,O'REGAN DONAL²,AGARWAL RAVI P.³,XU XIAOJIE¹

Affiliation:

1. Department of Mathematics, Northeast Normal University, Changchun 130024, Jilin, P. R. China

2. Department of Mathematics, National University of Ireland Galway, Ireland

3. Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, Florida 32901, USA

Abstract

In this paper, we employ the fixed point index on cones to study the existence, multiplicity and nonexistence of positive periodic solutions to a system of infinite delay equations, [Formula: see text] in which λ > 0 is a parameter. We prove some general theorems and establish new periodicity conditions for several population growth models.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202505000467

Reference22 articles.

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