Prey - Predator in Chemostat When the Prey Produces Unaffected Inhibitor | ||||
| The International Conference on Mathematics and Engineering Physics | ||||
| Article 11, Volume 6, International Conference on Mathematics and Engineering Physics (ICMEP-6), May 2012, Page 1-12 PDF (432.22 K) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/icmep.2012.29758 | ||||
 View on SCiNiTO | ||||
| Author | ||||
| A. A. Moniem | ||||
| Akhbar El-Yom Academy, 6 October City, Giza (12573), Egypt. | ||||
| Abstract | ||||
| Prey - predator in chemostat when the prey produces unaffected inhibitor is considered. This inhibitor is not lethal to neither predator nor nutrient and results in decrease of growth rate of the prey 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 | ||||
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