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2017•SIAM Journal on Mathematical AnalysisRequires access

The Principal Eigenvalue for Degenerate Periodic Reaction-Diffusion Systems

Xing Liang, Lei Zhang, Xiao‐Qiang Zhao

Open publisher page 92 citations

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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What this paper is about

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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OpenAlex reports 92 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Mathematics, Degenerate energy levels, Eigenvalues and eigenvectors, Reaction–diffusion system, Mathematical analysis, Principal (computer security), Diffusion, Physics

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