Literature DB >> 12567230

Year class coexistence or competitive exclusion for strict biennials?

N V Davydova1, O Diekmann, S A van Gils.   

Abstract

We consider a discrete time model of semelparous biennial population dynamics. Interactions between individuals are modelled with the aid of an "environmental" variable I. The impact on and the sensitivity to the environmental condition is age specific. The main result is that competitive exclusion between the year classes is possible as is their coexistence. For moderate values of the basic reproduction ratio R(0) there is a strict dichotomy: depending on the other parameters we either find competitive exclusion or coexistence. We characterize rather precisely the patterns of age specific impact and sensitivity that lead to either of these outcomes.

Mesh:

Year:  2003        PMID: 12567230     DOI: 10.1007/s00285-002-0167-5

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


  9 in total

1.  Permanence of single-species stage-structured models.

Authors:  Ryusuke Kon; Yasuhisa Saito; Yasuhiro Takeuchi
Journal:  J Math Biol       Date:  2003-12-02       Impact factor: 2.259

2.  Dynamical consequences of harvest in discrete age-structured population models.

Authors:  Arild Wikan
Journal:  J Math Biol       Date:  2004-01-02       Impact factor: 2.259

3.  On synchronization in semelparous populations.

Authors:  E Mjølhus; A Wikan; T Solberg
Journal:  J Math Biol       Date:  2004-05-31       Impact factor: 2.259

4.  Single-class orbits in nonlinear Leslie matrix models for semelparous populations.

Authors:  Ryusuke Kon; Yoh Iwasa
Journal:  J Math Biol       Date:  2007-07-17       Impact factor: 2.259

5.  Three stage semelparous Leslie models.

Authors:  J M Cushing
Journal:  J Math Biol       Date:  2008-09-06       Impact factor: 2.259

6.  Periodic orbits near heteroclinic cycles in a cyclic replicator system.

Authors:  Yuanshi Wang; Hong Wu; Shigui Ruan
Journal:  J Math Biol       Date:  2011-06-08       Impact factor: 2.259

7.  The evolution of intermittent breeding.

Authors:  Allison K Shaw; Simon A Levin
Journal:  J Math Biol       Date:  2012-10-18       Impact factor: 2.259

8.  Bifurcations of cycles in nonlinear semelparous Leslie matrix models.

Authors:  Ryusuke Kon
Journal:  J Math Biol       Date:  2020-01-16       Impact factor: 2.259

9.  The winner takes it all: how semelparous insects can become periodical.

Authors:  Odo Diekmann; Robert Planqué
Journal:  J Math Biol       Date:  2019-04-27       Impact factor: 2.259

  9 in total

北京卡尤迪生物科技股份有限公司 © 2022-2023.