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Jun Li. CANARD CYCLE IN A SLOW-FAST BITROPHIC FOOD CHAIN MODEL IN CHEMOSTAT[J]. Journal of Applied Analysis & Computation, 2024, 14(3): 1360-1373. doi: 10.11948/20230141

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Jun Li. CANARD CYCLE IN A SLOW-FAST BITROPHIC FOOD CHAIN MODEL IN CHEMOSTAT[J]. Journal of Applied Analysis & Computation, 2024, 14(3): 1360-1373. doi: 10.11948/20230141

CANARD CYCLE IN A SLOW-FAST BITROPHIC FOOD CHAIN MODEL IN CHEMOSTAT

Jun Li

School of Mathmatics and Statistics, Xidian University, 710071, China

Author Bio: Email: lijun@xidian.edu.cn(J. Li)

Abstract

Abstract

In this paper, we propose a predator-prey bitrophic food chain model with Monod type and Holling-II functional response function in the chemostat scenario. Suppose the speed of nutrition is slow and the conversion rate of predator is low, then the system can be altered to a slow-fast system. By using the geometric singular perturbation theory, we are able to prove the existence of canard cycles and the cyclicity of slow-fast cycles.
- Geometric singular perturbation theory /
- chemostat /
- canard cycle /
- limit cycle /
- bifurcation theory
MSC: 34C23, 34E17

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References

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