兰州大学机构库 >数学与统计学院
性生态学中两个基本问题的空间结构模型及机理研究
Alternative TitleResearches on spatial-structured models and mechanisms of two basic problems in Sex ecology
戴华炜
Thesis Advisor李自珍
2010-05-29
Degree Grantor兰州大学
Place of Conferral兰州
Degree Name博士
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
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 AbstractSpatial 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
Language中文
Document Type学位论文
Identifierhttps://ir.lzu.edu.cn/handle/262010/224561
Collection数学与统计学院
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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