On a competition model in stream environments: The effects of seasonal pulses and advection

A diffusion-advection competition model with different pulses has been investigated in order to understand how the impulsive intervention affects the dynamics and alters the competition state of two competitors in open advective environments. The threshold values are introduced as the principal eigenvalues of the periodic problems with pulses and defined by the spectral radius of a time-T map. We have obtained two critical advection curves depending on pulses that determine the stability of the periodic steady states and have computed these numerically. The dynamics of two competitors in open advective environments such as competition exclusion, co-extinction, coexistence and bistability have been classified. By applying different impulsive effects, simulation analysis shows interesting scenarios, and reveals that a tradeoff between two different impulsive interventions and movements can be found in order to improve sustainable ecological development and economic benefits.