On density and extinction in continuous population models |
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Authors: | Hallam Thomas G. Zhien Ma |
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Affiliation: | (1) Department of Mathematics and Graduate Program in Ecology, University of Tennessee, 37996-1300 Knoxville, TN, USA;(2) Department of Mathematics, Xian Jiaotong University, Xian, Peoples Republic of China |
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Abstract: | Survival analyses, investigations of extinction and persistence, are executed for populations represented by a nonautonomous differential equation model. The population is assumed governed by density dependent and time varying density independent demographic parameters. While traditional approaches to extinction postulate extinction on an infinite time horizon and at zero abundance level, survival analysis is developed not only for this traditional setting but also on a finite time horizon and at a nonzero threshold level. A main conclusion is that extinction of a temporally stressed population is determined by a totality of density independent and density dependent factors. |
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Keywords: | Density dependence Persistence Extinction Population Finite time horizon |
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