描述细菌种群的非紧边界条件数学模型

M. Boulanouar
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引用次数: 3

摘要

在这项工作中,我们关注的是描述成熟速度结构细菌种群的数学模型的完备性。每一种细菌都以其成熟程度和成熟速度来区分。细菌有丝分裂用非紧致边界条件进行数学描述。我们证明了数学模型是由一个正强连续半群控制的。
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On a Mathematical Model with Noncompact Boundary Conditions Describing Bacterial Population
In this work, we are concerned with the well-posedness of a mathematical model describing a maturation-velocity structured bacterial population. Each bacterium is distinguished by its degree of maturity and its maturation velocity. The bacterial mitosis is mathematically described by noncompact boundary conditions. We show that the mathematical model is governed by a positive strongly continuous semigroup.
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Transport Theory and Statistical Physics
Transport Theory and Statistical Physics 物理-物理:数学物理
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