Dynamics Of A Periodic Benthic-drift Model For Two Species Competition

This paper is devoted to the study of a time-periodic model for two species competition in river environments,where the populations reproduce and compete in the benthic zone,and diffuse in the drifting water zone.We obtain a complete threshold result on the persistence and extinction of two species in terms of the principal eigenvalue for degenerate periodic reaction-diffusion systems,and establish at least one positive periodic coexistence solution of two competing populations under persistence conditions.Furthermore,due to the specificity of the system structure,where the two populations compete and the populations cooperate internally,the existence of two positive periodic solutions of the system can be obtained according to the theory of abstract competitive systems.Finally,we also numerically simulate the effect of the intrinsic growth rate and stream discharge on the persistence of the two competing populations,respectively.