Simple Food Chain in Chemostat When the Predator Produces Unaffected Toxin | ||
| The International Conference on Mathematics and Engineering Physics | ||
| Article 12, Volume 6, International Conference on Mathematics and Engineering Physics (ICMEP-6), May 2012, Pages 1-12 PDF (378.33 K) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/icmep.2012.29759 | ||
| Author | ||
| Ashraf A. Moniem | ||
| Akhbar El-Yom Academy, 6 October City, Giza (12573), Egypt. | ||
| Abstract | ||
| In this paper, Simple food chain in chemostat when the predator produces unaffected toxin is considered. This inhibitor is not lethal to neither prey nor nutrient and results in decrease of growth rate of the predator at some cost to its reproductive abilities. A Lyapunov function in the study of the global stability of a predator-free steady state is considered. Local and global stability of other steady states, persistence analysis, as well as numerical simulations are also presented. | ||
| Keywords | ||
| food chain; toxin – chemostat – prey – predator – Lyapunov function | ||
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