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Threshold parameters and metapopulation persistence |
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| Authors: | Carlos M Hernández-Suárez Pablo A Marquet Jorge X Velasco-Hernández |
| Institution: | (1) Centro Universitario de Investigación en Ciencias Básicas, CGIC, Universidad de Colima, Gonzalo de Sandoval 444, Colima, Col., 28045, México;(2) Departamento de Ecología, Facultad de Ciencias Biológicas, Universidad Católica de Chile, Casilla, 114-D Santiago, Chile;(3) Departamento de Matemáticas, UAM-Iztapalapa, Apartado Postal 55-534, Iztapalapa, D.F.09340 |
| Abstract: | A method is presented to estimate the minimum viable metapopulation size based on the basic reproductive number R 0 and the expected time to extinction τ E for epidemiological models. We exemplify our approach with two simple deterministic metapopulation models of the patch occupancy type and then proceed to stochastic versions that permit the estimation of the minimum viable metapopulation size. |
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