基于生灭过程的两斑块种群迁移模型研究

doi:10.6040/j.issn.1671-9352.0.2015.575

山东大学学报（理学版） ›› 2016, Vol. 51 ›› Issue (8): 84-89.doi: 10.6040/j.issn.1671-9352.0.2015.575

基于生灭过程的两斑块种群迁移模型研究

刘华¹,谢梅¹,蒋芮¹,魏玉梅²

1. 西北民族大学数学与计算机科学学院, 甘肃兰州 730030;2. 西北民族大学实验中心, 甘肃兰州 730030

收稿日期:2015-11-27 出版日期:2016-08-20 发布日期:2016-08-08
作者简介:刘华(1977— ),男,教授,硕士生导师,研究方向为生态数学及计算机模拟.E-mail:7783360@qq.com并列第一作者:谢梅(1990— ),女,硕士研究生,研究方向为生态数学及计算机模拟.E-mail:790090796@qq.com
基金资助:
国家自然科学基金资助项目(31260098,11361049,31560127);甘肃省自然科学基金资助项目(145RJZA158,1506RJZA274);西北民族大学研究生科研创新资助项目(Yxm2014171);国家民委中青年英才计划资助项目(〔2014〕121号);2013年西北民族大学创新团队资助项目

The two grids population migration model based on birth-death process

LIU Hua^1*, XIE Mei¹, JIANG Rui¹, WEI Yu-mei²

1. School of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou 730030, Gansu, China;
2. Experimental Center, Northwest University for Nationalities, Lanzhou 730030, Gansu, China

Received:2015-11-27 Online:2016-08-20 Published:2016-08-08

摘要/Abstract

摘要： 建立了两斑块间种群迁移的生灭过程模型,通过与没有迁移的单种群模型对比,分别得到同生境中两斑块种群的极限期望,进而得到单个斑块内种群续存和灭绝的充分条件。研究结果表明,单个斑块内种群数量递减时,邻体斑块中种群个体的迁入减少了物种灭绝风险,有助于种群续存;单个斑块内种群数量递增时,该斑块种群个体的迁出增加了该斑块物种的灭绝风险,不利于种群续存。

关键词: 迁移, 生境, 随机过程, 生灭过程

Abstract: We built the birth and death process model of migration between two populations patches. We get the limit expectation of population in two patches by comparing with the single population model which has not include migration effect, and thus we get the sufficient condition of persistence and extinction of population in single patch. The results show that the immigration of individuals from the neighbor patch not only reduces the risk of population extinction when the number of population in single patch decreased, but also benefit to the population survived. The emigration of individuals to the neighbor patch increased the risk of the population extinction in this patch and go against population survival when the number of population in single patch increased.

Key words: birth and death process, habitat, random process, migration

中图分类号:

刘华,谢梅,蒋芮,魏玉梅. 基于生灭过程的两斑块种群迁移模型研究[J]. 山东大学学报（理学版）, 2016, 51(8): 84-89.

LIU Hua, XIE Mei, JIANG Rui, WEI Yu-mei. The two grids population migration model based on birth-death process[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(8): 84-89.

参考文献

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基于生灭过程的两斑块种群迁移模型研究

The two grids population migration model based on birth-death process

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