Journal of the Korean Society for Industrial and Applied Mathematics
- Volume 12 Issue 3
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- Pages.139-151
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- 2008
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- 1226-9433(pISSN)
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- 1229-0645(eISSN)
DYNAMICS OF AN IMPULSIVE FOOD CHAIN SYSTEM WITH A LOTKA-VOLTERRA FUNCTIONAL RESPONSE
Abstract
We investigate a three species food chain system with Lotka-Volterra type functional response and impulsive perturbations. We find a condition for the local stability of prey or predator free periodic solutions by applying the Floquet theory and the comparison theorems and show the boundedness of this system. Furthermore, we illustrate some examples.
Keywords
- Food chain system;
- Lotka-Volterra functional response;
- impulsive differential equation;
- Floquet thoery