The role of host population heterogeneity in the evolution of virulence
Open Access
- 19 February 2011
- journal article
- research article
- Published by Taylor & Francis Ltd in Journal of Biological Dynamics
- Vol. 5 (2), 104-119
- https://doi.org/10.1080/17513758.2010.519404
Abstract
I examine here the effects of host heterogeneity in the growth of immune response on the evolution and co-evolution of virulence. The analysis is based on an extension of the ‘nested model’ by Gilchrist and Sasaki [Modeling host-parasite coevolution, J. Theor. Biol. 218 (2002), pp. 289–308]; the criteria for host and parasite evolution, in the paradigm of adaptive dynamics, for that model are derived in generality. Host heterogeneity is assumed to be fixed at birth according to a lognormal distribution or to the presence of two discrete types. In both cases, it is found that host heterogeneity determines a dramatic decrease in pathogen virulence, since pathogens will tune to the ‘weakest’ hosts. Finally we clarify how contrasting results present in the literature are due to different modelling assumptions.Keywords
This publication has 27 references indexed in Scilit:
- A simple model of pathogen–immune dynamics including specific and non-specific immunityMathematical Biosciences, 2008
- Evolution of pathogens towards low R0 in heterogeneous populationsJournal of Theoretical Biology, 2006
- VACCINATION, WITHIN-HOST DYNAMICS, AND VIRULENCE EVOLUTIONEvolution, 2006
- The evolution of host resistance: Tolerance and control as distinct strategiesJournal of Theoretical Biology, 2005
- Modeling Host–Parasite Coevolution: A Nested Approach Based on Mechanistic ModelsJournal of Theoretical Biology, 2002
- The Canonical Equation of Adaptive Dynamics: A Mathematical ViewSelection, 2002
- WITHIN-HOST POPULATION DYNAMICS AND THE EVOLUTION OF MICROPARASITES IN A HETEROGENEOUS HOST POPULATIONEvolution, 2002
- Mathematical models of parasite responses to host immune defencesParasitology, 1997
- Coevolution of hosts and parasitesParasitology, 1982
- Aggregation, Variance and the MeanNature, 1961