Quasi-stationary distributions of a stochastic metapopulation model
作者： Mats Gyllenberg , Dmitrii S. Silvestrov
DOI: 10.1007/BF00160173
关键词: Continuous-time Markov chain 、 Markov process 、 Markov chain mixing time 、 Markov chain 、 Mathematical optimization 、 Statistical physics 、 Mathematics 、 Variable-order Markov model 、 Markov property 、 Markov model 、 Discrete phase-type distribution
摘要: A stochastic metapopulation model which explicitly considers first order interactions between local populations is constructed. The takes the spatial arrangement of patches into account and keeps track are occupied empty. time-evolution meta-population governed by a Markov chain with finite state space. We give detailed description long term behaviour chain. Many interesting biological issues can be addressed using model. As an especially important example we discuss so-called core satellite species hypothesis in light
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sci-hub.se 参考文章(23)
Richard Durrett, Stochastic Models of Growth and Competition Lecture Notes in Biomathematics. ,vol. 96, pp. 176- 183 ,(1993) , 10.1007/978-3-642-50155-5_13
Robert H. MacArthur, Edward Osborne Wilson, The Theory of Island Biogeography ,(1967)
Ilkka Hanski, Inferences from ecological incidence functions The American Naturalist. ,vol. 139, pp. 657- 662 ,(1992) , 10.1086/285349
Ilkka Hanski, Dynamics of regional distribution: the core and satellite species hypothesis Oikos. ,vol. 38, pp. 210- ,(1982) , 10.2307/3544021
R.M. Nisbet, William Gurney, Modelling fluctuating populations ,(1982)
M. E. Gilpin, J. M. Diamond, Immigration and extinction probabilities for individual species: relation to incidence functions and species colonization curves. Proceedings of the National Academy of Sciences of the United States of America. ,vol. 78, pp. 392- 396 ,(1981) , 10.1073/PNAS.78.1.392
JANA VERBOOM, KEES LANKESTER, JOHAN A. J. METZ, Linking local and regional dynamics in stochastic metapopulation models Biological Journal of The Linnean Society. ,vol. 42, pp. 39- 55 ,(1991) , 10.1111/J.1095-8312.1991.TB00550.X
Mats Gyllenberg, Ilkka Hanski, Single-species metapopulation dynamics: A structured model Theoretical Population Biology. ,vol. 42, pp. 35- 61 ,(1992) , 10.1016/0040-5809(92)90004-D
ILKKA HANSKI, MICHAEL GILPIN, Metapopulation dynamics: brief history and conceptual domain Biological Journal of The Linnean Society. ,vol. 42, pp. 3- 16 ,(1991) , 10.1111/J.1095-8312.1991.TB00548.X
Paul Gerhard Hoel, Introduction to Stochastic Processes ,(1972)