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The effects of impulsive toxicant input on two-species Lotka-Volterra competition system. (English) Zbl 1097.34040
The authors investigate the effects of an impulsive toxicant input with constant rate on a naturally stable two-species Lotka-Volterra competition model in a polluted environment. They obtain permanence-extinction thresholds as the functions of model parameters for each population. In particular, it is proved that the impulsive period and the toxicant input amount at every time will ultimately affect the fate of each population.
MSC:
34D05Asymptotic stability of ODE
34A37Differential equations with impulses
92D25Population dynamics (general)
34C60Qualitative investigation and simulation of models (ODE)