JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (8): 84-89.doi: 10.6040/j.issn.1671-9352.0.2015.575

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

LIU Hua1*, XIE Mei1, JIANG Rui1, WEI Yu-mei2   

  1. 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

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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

CLC Number: 

  • O29
[1] BAILEY N T. The elements of stochastic processes with applications to the natural sciences[M].New York:Wiley, 1964.
[2] BAILEY N T. Stochastic birth, death and migration processes for spatially distributed populations [J]. Biometrika, 1968, 55(1):189-198.
[3] ADKE S R. A birth, death and migration process[J]. Journal of Applied Probability, 1969, 6(3):687-691.
[4] USHER M B, WILLIAMSON M H. A deterministic model for handling the birth, death, and migration processes of spatially distributed populations[J].Biometrics, 1970, 26(1):1-12.
[5] DAVIS A W. Some generalizations of baileys birth and death and migration model[J]. Advances in Applied Probability,1970, 2(1):83-109.
[6] CHEN Anyue, LIU Kai. Birth-death processes with an instantaneous reflection barrier[J]. Journal of Applied Probability, 2003, 40(1):163-179.
[7] WITTMANN M J. Ecological and genetic effects of introduced species on their native competitors[J]. Theoretical Population Biology, 2012, 84(5):25-35.
[8] ROSS S M. Introduction to probability models[M]. 11th Edition. New York: Academic Press, 2014.
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