Periodic solutions to nonlinear integral equations on the infinite interval modelling infectious disease

Ravi P. Agarwal; Donal O'Regan

doi:10.1016/S0362-546X(00)85002-6

Periodic solutions to nonlinear integral equations on the infinite interval modelling infectious disease

Ravi P. Agarwal
, Donal O'Regan

Mathematics

National University of Singapore

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

13 Citations (Scopus)

Abstract

A nonlinear integral equation is analyzed as a model for the spread of a certain infectious disease with periodic contact rate the varies seasonally. New existence results are established for this equation using a variety of fixed point theorems. The existence of one and multiple periodic solutions are discussed.

Original language	English
Pages (from-to)	21-35
Number of pages	15
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	40
Issue number	1
DOIs	https://doi.org/10.1016/S0362-546X(00)85002-6
Publication status	Published - 2000

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title = "Periodic solutions to nonlinear integral equations on the infinite interval modelling infectious disease",

abstract = "A nonlinear integral equation is analyzed as a model for the spread of a certain infectious disease with periodic contact rate the varies seasonally. New existence results are established for this equation using a variety of fixed point theorems. The existence of one and multiple periodic solutions are discussed.",

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AU - Agarwal, Ravi P.

AU - O'Regan, Donal

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AB - A nonlinear integral equation is analyzed as a model for the spread of a certain infectious disease with periodic contact rate the varies seasonally. New existence results are established for this equation using a variety of fixed point theorems. The existence of one and multiple periodic solutions are discussed.

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DO - 10.1016/S0362-546X(00)85002-6

M3 - Article

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EP - 35

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 1

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Periodic solutions to nonlinear integral equations on the infinite interval modelling infectious disease

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