Mathematics

I will introduce a larval dispersal model for two competing species.
Competition is indirect in the sense that the number of offspring decreases when the other species is more abundant. This model was proposed in a recent paper, and a stochastic version of it was shown to exhibit coexistence of the two species. In this talk I will show that even without stochastic effects, coexistence is possible, and verifiable sufficient conditions will be given for coexistence to occur. The global behavior of this system can be understood using the theory of monotone maps, which I discussed briefly in a companion Analysis Seminar a few weeks ago. No prior knowledge of this theory shall be assumed for this talk.