Minimizing the population extinction risk by migration

Abstract

Many populations in nature are fragmented: they consist of local populations occupying separate patches. A local population is prone to extinction due to the shot noise of birth and death processes. A migrating population from another patch can dramatically delay the extinction. What is the optimal migration rate that minimizes the extinction risk of the whole population? Here we answer this question for a connected network of model habitat patches with different carrying capacities.

7 pages, 3 figures, accepted for publication in PRL, appendix contains supplementary material

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Cited by in corpus (18)

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• Phenomenology of a First Order Dark State Phase Transition
• Survival of the Scarcer
• Optimal diffusion in ecological dynamics with Allee effect in a metapopulation
• Resonant Activation of Population Extinctions
• Nonmonotonic Effects of Migration in Subdivided Populations
• Quantitative Analysis of a Transient Dynamics of a Gene Regulatory Network
• Logistic and $\theta$-logistic models in population dynamics: General analysis and exact results
• Two-level modeling of quarantine
• Extinctions of coupled populations, and rare-event dynamics under non-Gaussian noise
• Extinction risk of a Metapopulation under the Allee Effect
• Epidemic extinction in a generalized susceptible-infected-susceptible model
• Applications of WKB and Fokker-Planck methods in analyzing population extinction driven by weak demographic fluctuations
• First-passage dynamics of obstructed tracer particle diffusion in one-dimensional systems
• Extremal statistics for first-passage trajectories of drifted Brownian motion under stochastic resetting
• Epidemic extinction in a simplicial susceptible-infected-susceptible model
• Diffusion plays an unusual role in ecological quasi-neutral competition in metapopulations
• Avoiding extinction by migration: The case of the head louse