Stability Switches in a Host–Pathogen Model as the Length of a Time Delay Increases

Autor:	Jennifer J. H. Reynolds, Andrew White, Jonathan A. Sherratt
Rok vydání:	2013
Předmět:	Disease modelling Increased risk Transmission (telecommunications) Mathematical model Computer science Control theory Applied Mathematics Modeling and Simulation General Engineering Stability (probability) Host (network)
Zdroj:	Journal of Nonlinear Science. 23:1073-1087
ISSN:	1432-1467 0938-8974
DOI:	10.1007/s00332-013-9179-0
Popis:	The destabilising effects of a time delay in mathematical models are well known. However, delays are not necessarily destabilising. In this paper, we explore an example of a biological system where a time delay can be both stabilising and destabilising. This example is a host–pathogen model, incorporating density-dependent prophylaxis (DDP). DDP describes when individual hosts invest more in immunity when population densities are high, due to the increased risk of infection in crowded conditions. In this system, as the delay length increases, there are a finite number of switches between stable and unstable behaviour. These stability switches are demonstrated and characterised using a combination of numerical methods and analysis.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1546521d4ed59a6c5c664ac8c0929efd https://doi.org/10.1007/s00332-013-9179-0 Zobrazit plný text záznamu Plný text ve formátu PDF