pcbi.1011899.s001.pdf (1.02 MB)
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posted on 2024-03-05, 18:30 authored by Jonas Denk, Oskar HallatschekDetailed explanations of the numerical approach and analytical mean-field analyses including explanations of the emergent bistability and extended analyses of metacommunities with random interactions as well as metacommunities with density-dependent dispersal with additional direct competitive interactions.
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small environmental changesresults allow usoften precariously closemake numerous predictionsdrive catastrophic shiftsdependent dispersal ratheravoid stochastic extinctiontipping points emergemetacommunities hysteresis arise evenweak mutualism lowersmean threshold densitytipping pointshysteresis effectsecosystems evenweak mutualismmutualism providedxlink ">strains crossspecies needspecies compositionspatially structurednumeric solutionsnecessarily mutualisticmicrobial ecosystemsmetacommunity modelfield analysesexternal perturbationsessential resource
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