| 性生态学中两个基本问题的空间结构模型及机理研究 |
Alternative Title | Researches on spatial-structured models and mechanisms of two basic problems in Sex ecology
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| 戴华炜 |
Thesis Advisor | 李自珍
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| 2010-05-29
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Degree Grantor | 兰州大学
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Place of Conferral | 兰州
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Degree Name | 博士
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Keyword | 空间结构
偶对近似
元胞自动机
有性生殖
进化维持策略
迁移
不对称性
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Abstract | 空间生态学和性生态学近年来一直是理论生态学和数学生态学研究的热点问题。而关于性的研究大多都没有考虑空间结构的影响。本篇论文就是在性生态学中的两个基本问题(性比1:1的稳定性和雌核发育的续存)中考虑了空间结构的影响。利用元胞自动机方法和偶对近似方法建立数学模型,研究发现了许多有意义的结果。 |
Other Abstract | Spatial ecology and sex ecology are both important fields in the
international research of theoretical and mathematical ecology,
especially the combination of those is one of the frontiers and
hotspots in ecology. However, almost all papers that focus on
spatial ecology have ignored the sex reproduction in population, and
the research on sex often do not take the spatial factors into
account. In this PhD thesis, the effect of spatial structure on the
two basic problems in sex ecology, the stability of $1:1$ sex ratio
and the coexistence of sexual and asexual modes of reproduction, are
considered. Ordinary differential equations, Pair-approximation and
computer simulation model (Cellular Automaton) are used to built
spatial structured models, with the help of which we can find how
the spatial structure influence on the upon two problems. Two
approaches are used, mathematical analysis and numerical simulation.
Meanwhile, the effect of migration on the two system are also
investigated. |
URL | 查看原文
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Language | 中文
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Document Type | 学位论文
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Identifier | https://ir.lzu.edu.cn/handle/262010/224561
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Collection | 数学与统计学院
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Recommended Citation GB/T 7714 |
戴华炜. 性生态学中两个基本问题的空间结构模型及机理研究[D]. 兰州. 兰州大学,2010.
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