Pathogen evolution in switching environments: a hybrid dynamical system approach

Farkas, Jozsef Z., Hinow, Peter and Engelstaedter, Jan (2012) Pathogen evolution in switching environments: a hybrid dynamical system approach. Mathematical Biosciences, 240 1: 70-75. doi:10.1016/j.mbs.2012.06.004


Author Farkas, Jozsef Z.
Hinow, Peter
Engelstaedter, Jan
Title Pathogen evolution in switching environments: a hybrid dynamical system approach
Journal name Mathematical Biosciences   Check publisher's open access policy
ISSN 0025-5564
1879-3134
Publication date 2012-11
Sub-type Article (original research)
DOI 10.1016/j.mbs.2012.06.004
Volume 240
Issue 1
Start page 70
End page 75
Total pages 6
Place of publication Philadelphia, PA, United States
Publisher Elsevier
Collection year 2013
Language eng
Abstract We propose a hybrid dynamical system approach to model the evolution of a pathogen that experiences different selective pressures according to a stochastic process. In every environment, the evolution of the pathogen is described by a version of the Fisher–Haldane–Wright equation while the switching between environments follows a Markov jump process. We investigate how the qualitative behavior of a simple single-host deterministic system changes when the stochastic switching process is added. In particular, we study the stability in probability of monomorphic equilibria. We prove that in a ‘‘constantly’’ fluctuating environment, the genotype with the highest mean fitness is asymptotically stable in probability while all others are unstable in probability. However, if the probability of host switching depends on the genotype composition of the population, polymorphism can be stably maintained.
Keyword Hybrid switching system
Pathogen evolution
Stability in probability
Selection intensities
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: Official 2013 Collection
School of Biological Sciences Publications
 
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