Skip to main content
bioRxiv
  • Home
  • About
  • Submit
  • ALERTS / RSS
Advanced Search
New Results

Evolutionary branching of host resistance induced by density-dependent mortality

View ORCID ProfileJian Zu, Shuting Fu, Miaolei Li, Yuexi Gu
doi: https://doi.org/10.1101/410589
Jian Zu
1School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, 710049, P.R. China
  • Find this author on Google Scholar
  • Find this author on PubMed
  • Search for this author on this site
  • ORCID record for Jian Zu
  • For correspondence: jianzu@xjtu.edu.cn
Shuting Fu
1School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, 710049, P.R. China
  • Find this author on Google Scholar
  • Find this author on PubMed
  • Search for this author on this site
Miaolei Li
1School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, 710049, P.R. China
  • Find this author on Google Scholar
  • Find this author on PubMed
  • Search for this author on this site
Yuexi Gu
1School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, 710049, P.R. China
  • Find this author on Google Scholar
  • Find this author on PubMed
  • Search for this author on this site
  • Abstract
  • Full Text
  • Info/History
  • Metrics
  • Preview PDF
Loading

Abstract

This study explores the evolutionary dynamics of host resistance in a susceptible-infected model with density-dependent mortality. We assume that the resistant ability of susceptible host will adaptively evolve, a different type of host differs in its susceptibility to infection, but the resistance to a pathogen involves a cost such that a less susceptible host results in a lower birth rate. By using the methods of adaptive dynamics and critical function analysis, we find that the evolutionary outcome relies mainly on the trade-off relationship between host resistance and its fertility. Firstly, we show that if the trade-off curve is globally con-cave, then a continuously stable strategy is predicted. In contrast, if the trade-off curve is weakly convex in the vicinity of singular strategy, then the evolutionary branching of host resistance is possible. Moreover, the bifurcation analysis shows that independent of the trade-off curve, the values of continuously stable strategy and evolutionary branching point will always increase as the demographic parameters increase. Secondly, after evolutionary branching in the host resistance has occurred, we examine the coevolutionary dynamics of the dimorphic host population and find that for a type of concave-convex-concave trade-off curve, the final evolutionary outcome may contain a relatively higher susceptible host and a relatively higher resistant host, which can continuously stably coexist on a long-term evo-lutionary timescale. Numerical simulation further shows that eventually the equilibrium population densities of the dimorphic susceptible host might be very close to each other. Finally, we find that for a type of sigmoidal trade-off curve, due to the high cost in terms of the birth rate, always the branch with higher resistance will go extinct, the eventual evolutionary outcome includes a monomorphic host with relatively lower resistance. Particularly, in this case we find that the evolution of costly host resistance may reduce the equilibrium population density of susceptible host, instead it may increase the equilibrium population density of infected host.

Copyright 
The copyright holder for this preprint is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under a CC-BY 4.0 International license.
Back to top
PreviousNext
Posted September 06, 2018.
Download PDF
Email

Thank you for your interest in spreading the word about bioRxiv.

NOTE: Your email address is requested solely to identify you as the sender of this article.

Enter multiple addresses on separate lines or separate them with commas.
Evolutionary branching of host resistance induced by density-dependent mortality
(Your Name) has forwarded a page to you from bioRxiv
(Your Name) thought you would like to see this page from the bioRxiv website.
CAPTCHA
This question is for testing whether or not you are a human visitor and to prevent automated spam submissions.
Share
Evolutionary branching of host resistance induced by density-dependent mortality
Jian Zu, Shuting Fu, Miaolei Li, Yuexi Gu
bioRxiv 410589; doi: https://doi.org/10.1101/410589
Digg logo Reddit logo Twitter logo Facebook logo Google logo LinkedIn logo Mendeley logo
Citation Tools
Evolutionary branching of host resistance induced by density-dependent mortality
Jian Zu, Shuting Fu, Miaolei Li, Yuexi Gu
bioRxiv 410589; doi: https://doi.org/10.1101/410589

Citation Manager Formats

  • BibTeX
  • Bookends
  • EasyBib
  • EndNote (tagged)
  • EndNote 8 (xml)
  • Medlars
  • Mendeley
  • Papers
  • RefWorks Tagged
  • Ref Manager
  • RIS
  • Zotero
  • Tweet Widget
  • Facebook Like
  • Google Plus One

Subject Area

  • Evolutionary Biology
Subject Areas
All Articles
  • Animal Behavior and Cognition (3580)
  • Biochemistry (7534)
  • Bioengineering (5488)
  • Bioinformatics (20709)
  • Biophysics (10266)
  • Cancer Biology (7942)
  • Cell Biology (11597)
  • Clinical Trials (138)
  • Developmental Biology (6576)
  • Ecology (10151)
  • Epidemiology (2065)
  • Evolutionary Biology (13565)
  • Genetics (9504)
  • Genomics (12801)
  • Immunology (7891)
  • Microbiology (19472)
  • Molecular Biology (7624)
  • Neuroscience (41939)
  • Paleontology (307)
  • Pathology (1253)
  • Pharmacology and Toxicology (2182)
  • Physiology (3254)
  • Plant Biology (7017)
  • Scientific Communication and Education (1291)
  • Synthetic Biology (1944)
  • Systems Biology (5412)
  • Zoology (1109)