Literature DB >> 7153669

On the global stability of the logistic age-dependent population growth.

P Marcati.   

Abstract

We study an age-dependent population equation with a nonlinear death rate of "logistic" type. The global asymptotic stability of the null solution is investigated when R(0) less than 1. If R(0) greater than 1 we get the existence of a nontrivial steady state that becomes asymptotically stable itself, while the null solution is unstable. The rate of decay is estimated.

Keywords:  Demographic Factors; Mathematical Model; Models, Theoretical; Population; Population Dynamics; Population Growth; Population Size; Research Methodology; Stable Population

Mesh:

Year:  1982        PMID: 7153669     DOI: 10.1007/bf00275074

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


  2 in total

1.  Stability of an age specific population with density dependent fertility.

Authors:  C Rorres
Journal:  Theor Popul Biol       Date:  1976-08       Impact factor: 1.570

2.  Local stability of a population with density-dependent fertility.

Authors:  C Rorres
Journal:  Theor Popul Biol       Date:  1979-12       Impact factor: 1.570

  2 in total
  3 in total

1.  Global behaviour of age-dependent logistic population models.

Authors:  W L Chan; B Z Guo
Journal:  J Math Biol       Date:  1990       Impact factor: 2.259

2.  Equilibrium and local stability in a logistic matrix model for age-structured populations.

Authors:  L Liu; J E Cohen
Journal:  J Math Biol       Date:  1987       Impact factor: 2.259

3.  Equilibria in structured populations.

Authors:  J M Cushing
Journal:  J Math Biol       Date:  1985       Impact factor: 2.259

  3 in total

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