2017
DOI: 10.1080/10236198.2017.1339699
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Does a population with the highest turnover coefficient win competition?

Abstract: Abstract. We consider a discrete time competition model. Populations compete for common limited resources but they have different fertilities and mortalities rates. We compare dynamical properties of this model with its continuous counterpart. We give sufficient conditions for competitive exclusion and the existence of periodic solutions related to the classical logistic, Beverton-Holt and Ricker models.

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Cited by 2 publications
(1 citation statement)
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“…The role of DD is examined by combining the dynamics of changing population size with the dynamics of changing frequencies in the mixture of strategies (Argasinski and Broom 2017a , b ). The RD confirm that the winning life history strategies are those that maximize expected lifetime offspring production ( R 0 ) when DD either (i) acts on the recruitment probability of juveniles or, (ii) suppresses birth rate to make the population stationary (Argasinski and Broom 2013 ; Argasinski and Rudnicki 2017 ; Rudnicki 2017 ). When the steady state contains a mixture of R 0 maximizing strategies that have different expected lifespans (different mortalities), then any decrease of the population size or invasion of other suboptimal strategies will induce selection among R 0 maximizers toward strategies with shorter expected lifespan (and shorter generation time) (Argasinski and Broom 2013 ; Argasinski and Rudnicki 2017 ).…”
Section: Introductionmentioning
confidence: 57%
“…The role of DD is examined by combining the dynamics of changing population size with the dynamics of changing frequencies in the mixture of strategies (Argasinski and Broom 2017a , b ). The RD confirm that the winning life history strategies are those that maximize expected lifetime offspring production ( R 0 ) when DD either (i) acts on the recruitment probability of juveniles or, (ii) suppresses birth rate to make the population stationary (Argasinski and Broom 2013 ; Argasinski and Rudnicki 2017 ; Rudnicki 2017 ). When the steady state contains a mixture of R 0 maximizing strategies that have different expected lifespans (different mortalities), then any decrease of the population size or invasion of other suboptimal strategies will induce selection among R 0 maximizers toward strategies with shorter expected lifespan (and shorter generation time) (Argasinski and Broom 2013 ; Argasinski and Rudnicki 2017 ).…”
Section: Introductionmentioning
confidence: 57%