Intrinsic noise in systems with switching environments

Abstract

We study individual-based dynamics in finite populations, subject to randomly switching environmental conditions. These are inspired by models in which genes transition between on and off states, regulating underlying protein dynamics. Similarly switches between environmental states are relevant in bacterial populations and in models of epidemic spread. Existing piecewise-deterministic Markov process (PDMP) approaches focus on the deterministic limit of the population dynamics while retaining the randomness of the switching. Here we go beyond this approximation and explicitly include effects of intrinsic stochasticity at the level of the linear-noise approximation. Specifically we derive the stationary distributions of a number of model systems, in good agreement with simulations. This improves existing approaches which are limited to the regimes of fast and slow switching.

15 pages, 11 figures

References in corpus (9)

• Analytical distributions for stochastic gene expression
• Exact distributions for stochastic gene expression models with bursting and feedback
• Fixation in finite populations evolving in fluctuating environments
• How limit cycles and quasi-cycles are related in systems with intrinsic noise
• Stochastic amplification in an epidemic model with seasonal forcing
• Noise-induced multistability in chemical systems: Discrete vs Continuum modeling
• Models of genetic drift as limiting forms of the Lotka-Volterra competition model
• Persistence of instanton connections in chemical reactions with time dependent rates
• Demographic noise and piecewise deterministic Markov processes

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