Competitive Exclusion Through Discrete Time Models

Ackleh, Azmy S.; Salceanu, Paul L.

doi:10.1007/978-3-662-44140-4_1

Cited by 3 publications

(12 citation statements)

References 31 publications

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“…Now we return to the model given by (1). We assume that f : R k + → [0, 1] is a continuous function which satisfies (3).…”

Section: Applicationsmentioning

confidence: 99%

“…In particular, the model given by (1) can exhibit chaotic behaviour if the suppression function is of the form f (x) = 1 − x 1 − · · · − x n , i.e., it is a generalization of the logistic model.…”

Section: 2mentioning

confidence: 99%

“…odic oscillation in the model given by (1). We restrict our investigation to the two-dimensional model.…”

Section: Periodic Solutions Theorem 1 Can Be Also Useful If We Look mentioning

confidence: 99%

“…The model is similar in spirit to that presented in [3] (a continuous version) and in [4] (a discrete version) but in those papers f has a special form strictly connected with competition for free nest sites for newborns. A simplified Leslie/Gower model [2] is also of the form (1). The suppression function f can be quite arbitrary.…”

Section: Introductionmentioning

confidence: 99%

“…Now we present some motivation for studying model (1). We begin with a continuous time version of it.…”

Section: Introductionmentioning

confidence: 99%

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Does a population with the highest turnover coefficient win competition?

Rudnicki

2017

Journal of Difference Equations and Applications

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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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“…Now we return to the model given by (1). We assume that f : R k + → [0, 1] is a continuous function which satisfies (3).…”

Section: Applicationsmentioning

confidence: 99%

Section: 2mentioning

confidence: 99%

“…odic oscillation in the model given by (1). We restrict our investigation to the two-dimensional model.…”

Section: Periodic Solutions Theorem 1 Can Be Also Useful If We Look mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…Now we present some motivation for studying model (1). We begin with a continuous time version of it.…”

Section: Introductionmentioning

confidence: 99%

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Does a population with the highest turnover coefficient win competition?

Rudnicki

2017

Journal of Difference Equations and Applications

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Reproductive interference hampers species coexistence despite conspecific sperm precedence

Iritani

Noriyuki

2018

Preprint

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yedoensis is confined to a less preferred prey item and a pine tree habitat. Finally, by a 36 comparative approach, we showed that niche partitioning or parapatric distribution, but not 37 sympatric coexistence in the same habitat, is maintained between species with CSP belonging 38 to a wide range of taxa, including vertebrates and invertebrates living in aquatic or terrestrial 39 environments. Taken together, these results lead us to conclude that reproductive interference 40 generally destabilizes local coexistence even in closely related species that exhibit CSP. 41 42

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