文章基本信息

标题：A monotone approximation for a size-structured population model with a generalized environment
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作者：Azmy S. Ackleh ; Keng Deng ; Jeremy J. Thibodeaux 等
期刊名称：Journal of Biological Dynamics
印刷版ISSN：1751-3758
电子版ISSN：1751-3766
出版年度：2007
卷号：1
期号：4
页码：305-319
DOI：10.1080/17513750701605564
出版社：Taylor & Francis
摘要：We study a nonlinear size-structured population model with an environment general enough to include hierarchy. We also remove the standard requirement that individuals have nonnegative growth rates, which allows the modeling of populations in which individuals may experience a reduction in size. To show existence and uniqueness of the solution to the model, we establish a comparison principle and construct monotone sequences. A fully discretized numerical scheme based on these monotone sequences is presented and utilized to provide some numerical examples.
关键词：Size-structured population model ; Generalized environment ; Negative growth rates ; Monotone approximation ; Existence-uniqueness ; Numerical simulations