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具年龄结构的种群在破碎化生境中的空间分布模型
引用本文:杜延军,李旭宏,李自珍.具年龄结构的种群在破碎化生境中的空间分布模型[J].生物数学学报,2007,22(1):81-86.
作者姓名:杜延军  李旭宏  李自珍
作者单位:1. 南京财经大学,经济学院,江苏,南京,210046
2. 西北师范大学,经济管理学院,甘肃,兰州,730070
3. 兰州大学,数学系,甘肃,兰州,730000
摘    要:随着人类和其他生物赖以生存的环境破碎化程度的加剧,许多以前是连续分布的物种,目前不得不在破碎化生境(斑块)中求生存,所以,种群在破碎化生境(斑块)中分布问题的研究对生物保护和生境重建意义重大.本文运用Leslie矩阵和Markov链建立了一个具年龄结构的种群在破碎化生境中随时间动态变化的分布模型,讨论了种群在该生境中持续存在以及灭绝的条件.

关 键 词:生境破碎化  种群  Leslie矩阵  Markov链  空间分布模型  持续存在  灭绝
文章编号:1001-9626(2007)01-0081-06
收稿时间:2004-10-20
修稿时间:2004-10-20

The Spatial Distributed Models of Age-Constructed Population Dynamics in Fragmental Natural Habitats
DU Yan-Jun,LI Xu-hong,Li Zi-zhen.The Spatial Distributed Models of Age-Constructed Population Dynamics in Fragmental Natural Habitats[J].Journal of Biomathematics,2007,22(1):81-86.
Authors:DU Yan-Jun  LI Xu-hong  Li Zi-zhen
Institution:1 School of Economics, Nanjing University of Finance Economics, Nanjinq Jiangsu 210046 China;2 School of Economics and Management, Northwest Normal University, Lanzhou Gansu 730070 China;3 Department of Mathematics, Lanzhou University, Lanzhou Gansu 730000 China
Abstract:Today,a lot of species that were formerly distributed in continuous pattern have to exist in fragmental natural habitats,patch,along with the intensification of the fragmentation of natural habitats.Therefore,the research of population that dwells on the fragmental natural habitats has a profound significance to protect species and recover natural habitats.This paper established the spatial distributed models of age-constructed population dynamics in fragmental natural habitats by Leslie matrix and Markov chain.The conditions of sustainable existence and extinct of population had been studied.
Keywords:Fragmental natural habitats  Population Leslie matrix  Markov chain spatial distribution model  Sustainable existence extinct
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