2. Predictive and Practical Metapopulation Models: The Incidence Function Approach

1998 ◽  
pp. 21-45 ◽  
Keyword(s):  
Function Approach ◽  
Incidence Function ◽  
Metapopulation Models

scholarly journals The Limiting Behaviour of Hanski's Incidence Function Metapopulation Model

2014 ◽  
Vol 51 (2) ◽  
pp. 297-316 ◽  
Author(s):  
R. McVinish ◽  
P. K. Pollett
Keyword(s):  
Markov Chain ◽  
Transition Probabilities ◽  
Metapopulation Model ◽  
Function Model ◽  
Discrete Time Markov Chain ◽  
Incidence Function Model ◽  
Incidence Function ◽  
Limiting Behaviour ◽  
Metapopulation Models ◽  
Near Extinction

Hanski's incidence function model is one of the most widely used metapopulation models in ecology. It models the presence/absence of a species at spatially distinct habitat patches as a discrete-time Markov chain whose transition probabilities are determined by the physical landscape. In this analysis, the limiting behaviour of the model is studied as the number of patches increases and the size of the patches decreases. Two different limiting cases are identified depending on whether or not the metapopulation is initially near extinction. Basic properties of the limiting models are derived.

scholarly journals The Limiting Behaviour of Hanski's Incidence Function Metapopulation Model

2014 ◽  
Vol 51 (02) ◽  
pp. 297-316 ◽  
Author(s):  
R. McVinish ◽  
P. K. Pollett
Keyword(s):  
Markov Chain ◽  
Transition Probabilities ◽  
Metapopulation Model ◽  
Function Model ◽  
Discrete Time Markov Chain ◽  
Incidence Function Model ◽  
Incidence Function ◽  
Limiting Behaviour ◽  
Metapopulation Models ◽  
Near Extinction

Hanski's incidence function model is one of the most widely used metapopulation models in ecology. It models the presence/absence of a species at spatially distinct habitat patches as a discrete-time Markov chain whose transition probabilities are determined by the physical landscape. In this analysis, the limiting behaviour of the model is studied as the number of patches increases and the size of the patches decreases. Two different limiting cases are identified depending on whether or not the metapopulation is initially near extinction. Basic properties of the limiting models are derived.

Multi-Electronic-State Molecular Dynamics:  A Wave Function Approach with Applications

1996 ◽  
Vol 100 (19) ◽  
pp. 7884-7895 ◽  
Author(s):  
Todd J. Martinez ◽  
M. Ben-Nun ◽  
R. D. Levine
Keyword(s):  
Molecular Dynamics ◽  
Wave Function ◽  
Electronic State ◽  
Function Approach
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