Global asymptotic behaviour of aquatic vegetation in a periodical mediated system

Abstract

In this paper, we consider a competition model between two species in an aquatic system. The operating parameters and the species specific response functions are periodic functions of time. Species-specific removal rates are also permitted to be periodic. A threshold result on the global dynamics of the scalar asymptotically periodic Kolmogorov equation is applied to a growth model of two species. Sufficient conditions ensure uniform persistence of all the species and guarantee that the full system admits at least one positive, periodic solution. The qualitative behaviour of this model is determined analytically and numerically.