Approximating the Critical Domain Size of Integrodifference Equations

@inproceedings{Reimer2016ApproximatingTC,
  title={Approximating the Critical Domain Size of Integrodifference Equations},
  author={Jody R. Reimer and Michael B. Bonsall and Philip K. Maini},
  booktitle={Bulletin of mathematical biology},
  year={2016}
}
Integrodifference (IDE) models can be used to determine the critical domain size required for persistence of populations with distinct dispersal and growth phases. Using this modelling framework, we develop a novel spatially implicit approximation to the proportion of individuals lost to unfavourable habitat outside of a finite domain of favourable habitat, which consistently outperforms the most common approximations. We explore how results using this approximation compare to the existing IDE… CONTINUE READING
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Discrete - time growthdispersal models

M Kot, WM Schaffer
Math Biosci • 1986
View 20 Excerpts
Highly Influenced

The Effect of Dispersal Patterns on Stream Populations

SIAM Journal of Applied Mathematics • 2005
View 8 Excerpts
Highly Influenced

Discrete-time travelling waves: ecological examples.

Journal of mathematical biology • 1992
View 11 Excerpts
Highly Influenced

Dispersion population models discrete in time and continuous in space.

Journal of mathematical biology • 1990
View 11 Excerpts
Highly Influenced

Dispersal and pattern formation in a discrete - time predator – prey model

MG Neubert, M Kot, MA Lewis
Theor Popul Biol • 1995
View 4 Excerpts
Highly Influenced

Dispersal and pattern formation in a discrete-time predator–prey

MG Neubert, M Kot, MA Lewis
1995
View 5 Excerpts
Highly Influenced

Designingmarine reserve networks for both conservation and fisheries management

SD Gaines, CarrMH WhiteC, Palumbi
Proc Natl Acad Sci USA • 2012
View 1 Excerpt

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