Does a population with the highest turnover coefficient win competition?

DOI10.1080/10236198.2017.1339699zbMATH Open1381.92085arXiv1706.01236OpenAlexW2621481384MaRDI QIDQ4599732

Ryszard Rudnicki

Publication date: 4 January 2018

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1706.01236

zbMATH Keywords

population dynamicscompetitive exclusionnonlinear Leslie modelperiodic cycle

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Ecology (92D40)

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