### Abstract

A logistic equation with infinite delay is considered under conditions that force its solution to approach a positive steady state at large times. It is shown that this rate of convergence depends on the initial history in some cases, and is independent of the history in others.

Original language | English |
---|---|

Pages (from-to) | 23-44 |

Number of pages | 22 |

Journal | Proceedings of the Royal Society of Edinburgh Section A: Mathematics |

Volume | 141 |

Issue number | 1 |

DOIs | |

Publication status | Published - Feb 2011 |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Proceedings of the Royal Society of Edinburgh Section A: Mathematics*,

*141*(1), 23-44. https://doi.org/10.1017/S0308210510000016

**History-dependent decay rates for a logistic equation with infinite delay.** / Appleby, John A D; Győri, I.; Reynolds, David W.

Research output: Contribution to journal › Article

*Proceedings of the Royal Society of Edinburgh Section A: Mathematics*, vol. 141, no. 1, pp. 23-44. https://doi.org/10.1017/S0308210510000016

}

TY - JOUR

T1 - History-dependent decay rates for a logistic equation with infinite delay

AU - Appleby, John A D

AU - Győri, I.

AU - Reynolds, David W.

PY - 2011/2

Y1 - 2011/2

N2 - A logistic equation with infinite delay is considered under conditions that force its solution to approach a positive steady state at large times. It is shown that this rate of convergence depends on the initial history in some cases, and is independent of the history in others.

AB - A logistic equation with infinite delay is considered under conditions that force its solution to approach a positive steady state at large times. It is shown that this rate of convergence depends on the initial history in some cases, and is independent of the history in others.

UR - http://www.scopus.com/inward/record.url?scp=79960467786&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79960467786&partnerID=8YFLogxK

U2 - 10.1017/S0308210510000016

DO - 10.1017/S0308210510000016

M3 - Article

AN - SCOPUS:79960467786

VL - 141

SP - 23

EP - 44

JO - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

JF - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

SN - 0308-2105

IS - 1

ER -