Please use this identifier to cite or link to this item:
Appears in Collections:Computing Science and Mathematics Journal Articles
Peer Review Status: Refereed
Title: The effect of seasonal host birth rates on disease persistence
Author(s): Ireland, Jillian M
Mestel, Ben D
Norman, Rachel
Contact Email:
Keywords: Seasonality
Rabbit Haemorrhagic disease
Season of birth
Disease Models, Animal
Issue Date: Mar-2007
Date Deposited: 18-Sep-2009
Citation: Ireland JM, Mestel BD & Norman R (2007) The effect of seasonal host birth rates on disease persistence. Mathematical Biosciences, 206 (1), pp. 31-45.;
Abstract: In this paper, we add seasonality to the birth rate of an SIR model with density dependence in the death rate. We find that disease persistence can be explained by considering the average value of the seasonal term. If the basic reproductive ratio with this average value then the disease will persist and if with this average value then the disease will die out. However, if the underlying non-seasonal model displays oscillations towards the equilibrium then the dynamics of the seasonal model can become more complex. In this case the seasonality can interact with the underlying oscillations, resonate and the population can display a range of complex behaviours including chaos. We discuss these results in terms of two examples, Cowpox in bank voles and Rabbit Haemorrhagic Disease in rabbits.
DOI Link: 10.1016/j.mbs.2006.08.028
Rights: Published in Mathematical Biosciences by Elsevier.

Files in This Item:
File Description SizeFormat 
maxminpaperresubmitted dec05.pdfFulltext - Accepted Version221.02 kBAdobe PDFView/Open

This item is protected by original copyright

Items in the Repository are protected by copyright, with all rights reserved, unless otherwise indicated.

The metadata of the records in the Repository are available under the CC0 public domain dedication: No Rights Reserved

If you believe that any material held in STORRE infringes copyright, please contact providing details and we will remove the Work from public display in STORRE and investigate your claim.