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Published on: January 18, 2014
Superinfections can induce evolutionarily stable coexistence of pathogens
1Department of Mathematics, University of Utrecht, Utrecht, The Netherlands. barbara.boldin@gmail.com
Journal of Mathematical Biology
|October 10, 2007
Summary
Superinfection dynamics in parasites influence evolutionary outcomes. Within-host and between-host selection interact, with superinfection probability determining which level dominates parasite evolution.
Area of Science:
- Evolutionary biology
- Parasitology
- Mathematical modeling
Background:
- Parasite reproduction and natural selection occur at multiple interconnected levels.
- Previous work linked between-host transmission (SI model) to within-host dynamics, showing potential divergence in selection outcomes.
- Understanding the interplay between within-host and population-level selection is crucial for parasite evolution.
Purpose of the Study:
- To investigate the evolution of parasite reproduction rate considering superinfection.
- To model the probability of a new parasite strain taking over an already infected host.
- To analyze how different mathematical properties of superinfection functions affect evolutionary outcomes.
Main Methods:
- Introduction of a superinfection function, phi(p,q), representing takeover probability.
- Analysis of three cases based on the mathematical properties (discontinuity, continuity, differentiability) of the superinfection function.
- Integration of within-host dynamics with between-host transmission models.
Main Results:
- Case (i): Discontinuous superinfection function leads to within-host selection dominating evolutionary outcomes.
- Case (iii): Differentiable superinfection function results in transmission to susceptible hosts dominating, aligning with models ignoring superinfection.
- Case (ii): Continuous, non-differentiable superinfection function (biologically relevant) shows contributions from both reproduction levels.
- Superinfection models can allow for stable coexistence of parasite traits.
Conclusions:
- The mathematical nature of superinfection probability critically shapes parasite evolution.
- Superinfection can lead to novel evolutionary stable strategies and coexistence of parasite types.
- The study provides a framework for understanding complex parasite evolution incorporating superinfection.
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