Adaptive evolution of virulence-related traits in a susceptible-infected model with treatment
type: Item
instance of: scholarly article
title: Adaptive evolution of virulence-related traits in a susceptible-infected model with treatment
zbMATH Open document ID: 1406.92359
DOI: 10.1155/2014/891401
author: Yang Yang
author: Xinzhu Meng
author: Sheng-nan Zhao
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: Evolution problem is now a hot topic in the mathematical biology field. This paper investigates the adaptive evolution of pathogen virulence in a susceptible-infected (SI) model under drug treatment. We explore the evolution of a continuous trait, virulence of a pathogen, and consider virulence-dependent cure rate (recovery rate) that dramatically affects the outcome of evolution. With the methods of critical function analysis and adaptive dynamics, we identify the evolutionary conditions for continuously stable strategies, evolutionary repellers, and evolutionary branching points. First, the results show that a high-intensity strength drug treatment can result in evolutionary branching and the evolution of pathogen strains will tend towards a higher virulence with the increase of the strength of the treatment. Second, we use the critical function analysis to investigate the evolution of virulence-related traits and show that evolutionary outcomes strongly depend on the shape of the trade-off between virulence and transmission. Third, after evolutionary branching, the two infective species will evolve to an evolutionarily stable dimorphism at which they can continue to coexist, and no further branching is possible, which is independent of the cure rate function.
Mathematics Subject Classification ID: 92C60
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 92D15
zbMATH DE Number: 7023250
zbMATH Keywords: susceptible-infected epidemic model
zbMATH Keywords: drug treatment
zbMATH Keywords: adaptive evolution of pathogen virulence
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/891401
OpenAlex ID: W2149686361
Wikidata QID: Q59042280
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description: scientific article; zbMATH DE number 7023250