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PERSISTENCE IN AN AGE-STRUCTURED POPULATION FOR A PATCH-TYPE ENVIRONMENT |
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| Authors: | Linda JS Allen Michael P Moulton Francis L Rose |
| Abstract: | A discrete-time model for an age-structured population in a patch-type environment is presented and analyzed. Comparison techniques for difference equations are used to find sufficient conditions for population persistence or extinction. The persistence and extinction theorem is used to define the critical patch number, the threshold for population persistence. Several examples are presented which illustrate the results of the theorems. The model is applied to a watersnake population. |
| Keywords: | Leslie matrix persistence population dynamics reaction-diffusion |