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Periodic solution of a two-species competitive system with toxicant and birth pulse. (English) Zbl 1137.34017

The authors discuss the existence of a periodic solution of a two-species competitive system with toxicant and birth pulse. First they introduce some notations and definitions and state some preliminary results. Later, the authors obtain a set of easily verifiable sufficient conditions for the existence of positive periodic solutions. Numerical examples are provided to illustrate the main results.

MSC:

34C25 Periodic solutions to ordinary differential equations
34A37 Ordinary differential equations with impulses
92D25 Population dynamics (general)
34C60 Qualitative investigation and simulation of ordinary differential equation models
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