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Dynamics of a two-species Lotka-Volterra competition system in a polluted environment with pulse toxicant input. (English) Zbl 1172.92036
Summary: In most models of population dynamics in a polluted environment, the emission of toxicants is generally considered to be continuous, but it is often the case that toxicants are emitted in regular pulses. This paper deals with the effects of pulse toxicants inputs with constant rate on two-species Lotka-Volterra competition systems in a polluted environment. The thresholds between persistence and extinction of each population are obtained. Moreover, our results indicate that the release amount of toxicants and the pulse period will affect the fate of each population. Finally, the results are verified through computer simulations.
MSC:
92D40Ecology
37N25Dynamical systems in biology
68U20Simulation
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