Volume 14, Number 4, 2024, Pages - DOI:10.11948/JAAC-2023-0354 |
Global asymptotical stability for a fishery model with seasonal harvesting |
ying chen,Lihong Huang,Jiafu Wang |
Keywords:Seasonal harvesting, Fishery model, Periodic solution, Global stability |
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 Poincar′e 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. |
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