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The Principal Eigenvalue for Degenerate Periodic Reaction-Diffusion Systems

Xing Liang, Lei Zhang, Xiao-Qiang Zhao

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Source: Crossref

Published: Jan 1, 2017

DOI: 10.1137/16m1108832

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Source abstract

The theory of the principal eigenvalue is established for the eigenvalue problem associated with a linear time-periodic parabolic cooperative system with some zero diffusion coefficients. Then we apply it to a benthic-drift population model and obtain a threshold-type result on its global dynamics in terms of the basic reproduction number.

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