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Asymptotic behavior of spatially distributed replicator systems

The question of biological stability (permanence) of a replicator reaction-diffusion system is considered. Sufficient conditions of biological stability are found. It is proved that there are situations when biologically unstable non-distributed replicator system becomes biologically stable in the distributed case. Numerical examples illustrate analytical findings. This manuscript is a continuation of arXiv:1308.5631.

preprint2014arXivOpen access
Alexander S. BratusArtem S. NovozhilovVladimir P. Posvyanskii
math.APPopulations and Evolution
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Alexander S. BratusArtem S. NovozhilovVladimir P. Posvyanskii

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