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Zbl 1172.92036
Liu, Bing; Zhang, Lei
Dynamics of a two-species Lotka-Volterra competition system in a polluted environment with pulse toxicant input. (English)
[J] Appl. Math. Comput. 214, No. 1, 155-162 (2009). ISSN 0096-3003

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 2000:: *92D40 Ecology
37N25 Dynamical systems in biology
68U20 Simulation

Keywords: Lotka-Volterra competition system; pulse toxicant input; polluted environment; weak average persistence; extinction; non-persistent

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