MULTIPLE STABLE STATES FOR A CLASS OF PREDATOR-PREY SYSTEMS WITH TWO HARVESTING RATES

Yanli Tang; Feng Li

doi:10.11948/20230295

2024 Volume 14 Issue 1

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Yanli Tang, Feng Li. MULTIPLE STABLE STATES FOR A CLASS OF PREDATOR-PREY SYSTEMS WITH TWO HARVESTING RATES[J]. Journal of Applied Analysis & Computation, 2024, 14(1): 506-514. doi: 10.11948/20230295

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Yanli Tang, Feng Li. MULTIPLE STABLE STATES FOR A CLASS OF PREDATOR-PREY SYSTEMS WITH TWO HARVESTING RATES[J]. Journal of Applied Analysis & Computation, 2024, 14(1): 506-514. doi: 10.11948/20230295

MULTIPLE STABLE STATES FOR A CLASS OF PREDATOR-PREY SYSTEMS WITH TWO HARVESTING RATES

Yanli Tang^1,2,,
Feng Li^2, ,

1.
Center for International Education, Philippine Christian University, Taft Avenue, Malate, Manila 1004, Philippines
2.
School of Mathematics and Statistic, Linyi University, Linyi Shandong 276000, China

Author Bio: Email: sweetyanli@163.com(Y. Tang)
Corresponding author: Email: lifeng@lyu.edu.cn(F. Li)
Fund Project: The authors were supported by National Natural Science Foundation of China (12071198) and Natural Science Foundation of Shangdong (No. ZR2020MA013)

Abstract

Abstract

In this paper, a class of predator-prey systems with two harvesting rates is studied, multiple limit cycles can be obtained by hopf bifurcation, and the Hopf cyclicity at the origin is $ 4 $. Multiple stable states can coexist in the predator-prey systems with two harvesting rates. Then by using Poincare-Bendixson theorem and Dulac discriminant method, existence and non-existence conditions of limit cycles are obtained.
- Predator-prey system /
- limit cycle /
- Dulac function
MSC: 34C07

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References

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