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- Jang, Bongsoo
- Computational Mathematical Science Lab.
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Dynamical analysis of fractional-order predator-prey system with Holling type II functional response
- Author(s)
- Jang, Bongsoo, EL-Saka, H.A.A, Lee, Seyeon
- Issued Date
- 2019-07-19
- Citation
- 9th International Congress on Industrial and Applied Mathematics (ICIAM 2019)
- Abstract
-
Local stability and Hopf bifurcation of fractional-order predator-prey systems biological economic system with Holling type II
functional response have been investigated. We explore how the economic profit and fractional orders influence the local stability and Hopf bifurcation for the fractional order predator-prey system. For an incommensurate system, we propose a new theory for the existence of Hopf bifurcation. Several experiments are demonstrated to validate the theoretical results.
- Publisher
- International Council for Industrial and Applied Mathematics
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