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arxiv: 1605.01324 · v1 · pith:K35RYHTAnew · submitted 2016-05-04 · 🧮 math.DS · math.CA

A periodic model for the dynamics of cell volume

classification 🧮 math.DS math.CA
keywords periodiccellcitedynamicsmodelsolutionvolumeattractor
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We prove the existence and uniqueness of positive periodic solution for a model describing the dynamics of cell volume flux, introduced in Julio A. Hernandez \cite{H}. We also show that the periodic solution is a global attractor. Our results confirm the conjectures made in an interesting recent book of P.J. Torres \cite{T}.

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