Quiescence wins: The Discovery Of Slowness
Leonard Braun, Noah Risse, Aur\'elien Tellier, Johannes M\"uller

TL;DR
This paper explores how quiescence, or slowed life-history traits, evolves in parasites, revealing that stochastic effects favor slowness as an adaptive strategy rather than just a response to environmental fluctuations.
Contribution
It introduces a new paradigm showing that evolution favors slowness in life-history traits through stochastic effects, supported by mathematical modeling and adaptive dynamics analysis.
Findings
Quiescence is favored by intrinsic stochastic effects.
Slowness in life-history traits is an adaptive evolution strategy.
The model suggests widespread evolution of slowness in resource-competition systems.
Abstract
We investigate the evolution of quiescence within the framework of Adaptive Dynamics for an SIQS (Susceptible - Infected - Quiescent) model with constant environment. In the first part of the paper, the competition of two strains which have the same basic fitness (same reproduction number) but different timing in quiescence is analyzed. Thereto, the complexity of the model is reduced: By a time scale argument, we approximate the SQIS model by an SIS model under the assumption of rapid switching between I and Q. Furthermore, using dimension reduction methods for the van Kampen expansion of the models, we replace the multi-dimensional SDE by an effective one dimensional SDE on the center manifold of the models. Finally, the fixation probabilities of the strains are derived. In the second part of the paper, we use concepts from adaptive dynamics to analyze the stochastic random walk on…
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