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The adaptive dynamics of the evolution of host resistance to indirectly transmitted microparasites
Angela Giafis1, Roger G Bowers
1Department of Mathematical Sciences, Division of Applied Mathematics, The University of Liverpool, Liverpool, UK.
Abstract:
We use adaptive dynamics and pairwise invadability plots to examine the evolutionary dynamics of host resistance to microparasitic infection transmitted indirectly via free stages. We investigate trade-offs between pathogen transmission rate and intrinsic growth rate. Adaptive dynamics distinguishes various evolutionary outcomes associated with repellors, attractors or branching points. We find criteria corresponding to these and demonstrate that a major factor deciding the evolutionary outcome is whether trade-offs are acceleratingly or deceleratingly costly. We compare and contrast two models and show how the differences between them lead to different evolutionary outcomes.
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