Stable Coexistence States in a Periodic Model for Biotic Interactions with a Continuous Spectrum of Outcomes
摘要
We consider a recent model for the continua of biotic interactions between two species where the proportion of positive interaction events is a periodic function of time. We prove the existence of a unique and asymptotically stable coexistence state when the intraspecific competition parameters are above a certain (computable) constant. This result is consistent with many theoretical predictions in Ecology with ample empirical support.