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基于生灭过程的两斑块种群迁移模型研究
引用本文: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. DOI: 10.6040/j.issn.1671-9352.0.2015.575
作者姓名:刘华  谢梅  蒋芮  魏玉梅
作者单位: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
基金项目: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
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  
收稿时间:2015-11-27

The two grids population migration model based on birth-death process
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, 2016, 51(8): 84-89. DOI: 10.6040/j.issn.1671-9352.0.2015.575
Authors:LIU Hua  XIE Mei  JIANG Rui  WEI Yu-mei
Affiliation: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
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.
Keywords:birth and death process  habitat  random process  migration  
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