Literature DB >> 16865365

Globally attracting fixed points in higher order discrete population models.

Hassan A El-Morshedy1, Eduardo Liz.   

Abstract

We address the global stability properties of the positive equilibrium in a general delayed discrete population model. Our results are used to investigate in detail a well-known model for baleen whale populations.

Mesh:

Year:  2006        PMID: 16865365     DOI: 10.1007/s00285-006-0014-1

Source DB:  PubMed          Journal:  J Math Biol        ISSN: 0303-6812            Impact factor:   2.259


  8 in total

1.  A delayed-recruitment model of population dynamics, with an application to baleen whale populations.

Authors:  C W Clark
Journal:  J Math Biol       Date:  1976-11-25       Impact factor: 2.259

2.  Global stability in discrete population models with delayed-density dependence.

Authors:  Eduardo Liz; Victor Tkachenko; Sergei Trofimchuk
Journal:  Math Biosci       Date:  2005-12-06       Impact factor: 2.144

3.  On linear perturbations of the Ricker model.

Authors:  Elena Braverman; Damir Kinzebulatov
Journal:  Math Biosci       Date:  2006-04-25       Impact factor: 2.144

4.  A note on difference-delay equations.

Authors:  S A Levin; R M May
Journal:  Theor Popul Biol       Date:  1976-04       Impact factor: 1.570

5.  Simple mathematical models with very complicated dynamics.

Authors:  R M May
Journal:  Nature       Date:  1976-06-10       Impact factor: 49.962

6.  Oscillation and chaos in physiological control systems.

Authors:  M C Mackey; L Glass
Journal:  Science       Date:  1977-07-15       Impact factor: 47.728

7.  Biological populations with nonoverlapping generations: stable points, stable cycles, and chaos.

Authors:  R M May
Journal:  Science       Date:  1974-11-15       Impact factor: 47.728

8.  An augmented Clark model for stability of populations.

Authors:  G Mertz; R A Myers
Journal:  Math Biosci       Date:  1996-01-15       Impact factor: 2.144

  8 in total

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