A metapopulation model with local extinction probabilities that evolve over time

  title={A metapopulation model with local extinction probabilities that evolve over time},
  author={Ross McVinish and Philip K. Pollett and Yiu Sing Luke Chan},
  journal={arXiv: Probability},
Global dynamics of a diffusive competition model with habitat degradation.
In this paper, we propose a diffusive competition model with habitat degradation and homogeneous Neumann boundary conditions in a bounded domain that is partitioned into the healthy region
A stochastic mussel-algae model under regime switching.
We investigate a novel model of coupled stochastic differential equations modeling the interaction of mussel and algae in a random environment, in which combined effect of white noises and telegraph


Limits of large metapopulations with patch-dependent extinction probabilities
We propose a model for the presence/absence of a population in a collection of habitat patches. This model assumes that colonisation and extinction of the patches occur as distinct phases.
The Limiting Behaviour of Hanski's Incidence Function Metapopulation Model
In this analysis, the limiting behaviour of theanski's incidence function model is studied as the number of patches increases and the size of the patches decreases.
A Practical Model of Metapopulation Dynamics
A novel approach to modelling of metapopulation dynamics is described, constructed as a generalized incidence function, which describes how the fraction of occupied habitat patches depends on patch areas and isolations.
The limiting behaviour of a stochastic patch occupancy model
A stochastic patch occupancy model that incorporates variation in quality and connectivity of the habitat patches is studied that derives a deterministic limit as the number of patches goes to infinity.
A Stochastic Metapopulation Model with Variability in Patch Size and Position
A new single species model of metapopulation dynamics that allows variation in patch size and position and is used to examine the effects of further habitat loss on extinction probabilities and quasi-stationary distributions.
A spatially structured metapopulation model with patch dynamics.
Connecting deterministic and stochastic metapopulation models
It is shown that the stochastic version of Hanski’s incidence function model can be well approximated in a certain sense by the deterministic version when the number of habitat patches is large, provided that the presence or absence of individuals in a given patch is influenced by a large number of other patches.
Metapopulation theory for fragmented landscapes.
A stochastic metapopulation model accounting for habitat dynamics
  • J. Ross
  • Environmental Science, Mathematics
    Journal of mathematical biology
  • 2006
Results are used to show that a suitably scaled version of the metapopulation model converges, uniformly in probability over finite time intervals, to a deterministic model previously studied in the ecological literature.
The limiting behaviour of a mainland-island metapopulation
An asymptotic examination of a simple type of SPOM called the mainland-island model shows that a variety of limiting behaviours is possible depending on the scaling of the island size and on the heterogeneity of habitat quality.