Literature DB >> 28275824

From homogeneous eigenvalue problems to two-sex population dynamics.

Horst R Thieme1.   

Abstract

Enclosure theorems are derived for homogeneous bounded order-preserving operators and illustrated for operators involving pair-formation functions introduced by Karl-Peter Hadeler in the late 1980s. They are applied to a basic discrete-time two-sex population model and to the relation between the basic turnover number and the basic reproduction number.

Keywords:  Enclosure theorems; Homogeneous order-preserving operators; Ordered normed vector spaces; Pair formation; Spectral radius

Mesh：

Year:  2017        PMID： 28275824     DOI： 10.1007/s00285-017-1114-9

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


  14 in total

1.  Applications of Perron-Frobenius theory to population dynamics.

Authors:  Chi-Kwong Li; Hans Schneider
Journal:  J Math Biol       Date:  2002-05       Impact factor: 2.259

2.  Pair formation in age-structured populations.

Authors:  K P Hadeler
Journal:  Acta Appl Math       Date:  1989       Impact factor: 1.215

3.  On Karl Hadeler becoming 70.

Authors:  Simon Levin
Journal:  J Math Biol       Date:  2006-10       Impact factor: 2.259

4.  Spreading speed, traveling waves, and minimal domain size in impulsive reaction-diffusion models.

Authors:  Mark A Lewis; Bingtuan Li
Journal:  Bull Math Biol       Date:  2012-08-15       Impact factor: 1.758

5.  Sex-biased dispersal and the speed of two-sex invasions.

Authors:  Tom E X Miller; Allison K Shaw; Brian D Inouye; Michael G Neubert
Journal:  Am Nat       Date:  2011-05       Impact factor: 3.926

6.  Persistence versus extinction for a class of discrete-time structured population models.

Authors:  Wen Jin; Hal L Smith; Horst R Thieme
Journal:  J Math Biol       Date:  2015-06-02       Impact factor: 2.259

7.  Epidemiological models for sexually transmitted diseases.

Authors:  K Dietz; K P Hadeler
Journal:  J Math Biol       Date:  1988       Impact factor: 2.259

8.  Case fatality models for epidemics in growing populations.

Authors:  Karl Peter Hadeler; Klaus Dietz; Muntaser Safan
Journal:  Math Biosci       Date:  2016-09-23       Impact factor: 2.144

9.  Models for pair formation in bisexual populations.

Authors:  K P Hadeler; R Waldstätter; A Wörz-Busekros
Journal:  J Math Biol       Date:  1988       Impact factor: 2.259

10.  Monotone dependence of the spectral bound on the transition rates in linear compartment models.

Authors:  K P Hadeler; H R Thieme
Journal:  J Math Biol       Date:  2008-05-17       Impact factor: 2.259
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  4 in total

1.  Do fatal infectious diseases eradicate host species?

Authors:  Alex P Farrell; James P Collins; Amy L Greer; Horst R Thieme
Journal:  J Math Biol       Date:  2018-05-21       Impact factor: 2.259

Review 2.  Karl-Peter Hadeler: His legacy in mathematical biology.

Authors:  Odo Diekmann; Klaus Dietz; Thomas Hillen; Horst Thieme
Journal:  J Math Biol       Date:  2018-07-02       Impact factor: 2.259

3.  An age-structured epidemic model for the demographic transition.

Authors:  Hisashi Inaba; Ryohei Saito; Nicolas Bacaër
Journal:  J Math Biol       Date:  2018-07-31       Impact factor: 2.259

4.  The epidemiological models of Karl-Peter Hadeler.

Authors:  Klaus Dietz
Journal:  Infect Dis Model       Date:  2018-09-26
  4 in total

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