Literature DB >> 1638262

Stochastic models for toxicant-stressed populations.

T C Gard1.   

Abstract

We obtain conditions for the existence of an invariant distribution on (0, infinity) for stochastic growth models of Ito type. We interpret the results in the case where the intrinsic growth rate is adjusted to account for the impact of a toxicant on the population. Comparisons with related results for ODE models by Hallam et al. are given, and consequences of taking the Stratonovich interpretation for the stochastic models are mentioned.

Mesh:

Year:  1992        PMID: 1638262     DOI: 10.1007/bf02459932

Source DB:  PubMed          Journal:  Bull Math Biol        ISSN: 0092-8240            Impact factor:   1.758


  6 in total

1.  A generalized model of a resource-population system : I. General properties.

Authors:  Gilberto C Gallopín
Journal:  Oecologia       Date:  1971-12       Impact factor: 3.225

2.  The threshold of survival for systems in a fluctuating environment.

Authors:  Z E Ma; B J Song; T G Hallam
Journal:  Bull Math Biol       Date:  1989       Impact factor: 1.758

3.  A nonautonomous model of population growth.

Authors:  R R Vance; E A Coddington
Journal:  J Math Biol       Date:  1989       Impact factor: 2.259

4.  Persistence in population models with demographic fluctuations.

Authors:  T G Hallam; M Zhien
Journal:  J Math Biol       Date:  1986       Impact factor: 2.259

5.  Paradox of enrichment: destabilization of exploitation ecosystems in ecological time.

Authors:  M L Rosenzweig
Journal:  Science       Date:  1971-01-29       Impact factor: 47.728

Review 6.  Deciphering death: a commentary on Gompertz (1825) 'On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies'.

Authors:  Thomas B L Kirkwood
Journal:  Philos Trans R Soc Lond B Biol Sci       Date:  2015-04-19       Impact factor: 6.237

  6 in total

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