Extinction of a two species competitive system with nonlinear inter-inhibition terms and one toxin producing phytoplankton

A two species non-autonomous competitive phytoplankton system with nonlinear inter-inhibition terms and one toxin producing phytoplankton is studied in this paper. Sufficient conditions which guarantee the extinction of a species and the global attractivity of the other one are obtained. Some parallel results corresponding to Yue (Adv. Differ. Equ. 2016:1, 2016, doi: 10.1007/s11590-013-0708-4 ) are established. Numeric simulations are carried out to show the feasibility of our results.