GLOBAL ASYMPTOTICAL STABILITY FOR A FISHERY MODEL WITH SEASONAL HARVESTING

Ying Chen; Lihong Huang; Jiafu Wang

doi:10.11948/20230354

2024 Volume 14 Issue 4

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Ying Chen, Lihong Huang, Jiafu Wang. GLOBAL ASYMPTOTICAL STABILITY FOR A FISHERY MODEL WITH SEASONAL HARVESTING[J]. Journal of Applied Analysis & Computation, 2024, 14(4): 2196-2206. doi: 10.11948/20230354

Citation:

Ying Chen, Lihong Huang, Jiafu Wang. GLOBAL ASYMPTOTICAL STABILITY FOR A FISHERY MODEL WITH SEASONAL HARVESTING[J]. Journal of Applied Analysis & Computation, 2024, 14(4): 2196-2206. doi: 10.11948/20230354

GLOBAL ASYMPTOTICAL STABILITY FOR A FISHERY MODEL WITH SEASONAL HARVESTING

1.
School of Mathematics, Hunan University, Changsha, Hunan 410082, China
2.
Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, Changsha, Hunan 410114, China
3.
School of Mathematics, Changsha University, Changsha 410022, China

Author Bio: Email: chenying12020@163.com(Y. Chen); Email: jfwangmath@163.com(J. Wang)
Corresponding author: Email: lhhuang@csust.edu.cn(L. Huang)
Fund Project: This work is supported by the National Natural Science Foundation of China (Grant Nos. 12171056, 12271063) and the Natural Science Foundation of Hunan Province, China (Grant No. 2021JJ30698)

Abstract

Abstract

A new fishery model is proposed by using the strategy of seasonal harvesting. Sufficient and necessary conditions are established to ensure the existence of a unique equilibrium or a periodic solution by the approach of Poincaré maps. It is shown that the equilibrium or the periodic solution is globally asymptotically stable. Numerical examples are provided to demonstrate the model dynamics and some biological implications are given as well.
- Seasonal harvesting /
- fishery model /
- Poincaré map /
- periodic solution /
- global stability
MSC: 34A36, 37C55

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References

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