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arxiv: 1406.5746 · v1 · pith:W72URZJQnew · submitted 2014-06-22 · 🧬 q-bio.PE · math.AP

Asymptotic behavior of spatially distributed replicator systems

classification 🧬 q-bio.PE math.AP
keywords replicatorbiologicalbiologicallydistributedstabilitysystemanalyticalarxiv
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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.

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