摘要
In this paper,we establish and study a single-species logistic model with impulsive age-selective harvesting.First,we prove the ultimate boundedness of the solutions of the system.Then,we obtain conditions for the asymptotic stability of the trivial solution and the positive periodic solution.Finally,numerical simulations are presented to validate our results.Our results show that age-selective harvesting is more conducive to sustainable population survival than non-age-selective harvesting.
本文建立并研究一类具有脉冲年龄选择性收获的单物种logistic模型.首先,我们证明了系统解的最终有界性;然后,通过分析得到了平凡解和正周期解渐近稳定的条件;最后,运用数值模拟验证所得理论结果.研究结果表明,相较于非年龄选择性收获,年龄选择性收获更有利于种群的可持续生存.
出处
《应用数学》
北大核心
2026年第1期72-79,共8页
Mathematica Applicata
基金
Supported by the National Natural Science Foundation of China(12261018)
Universities Key Laboratory of Mathematical Modeling and Data Mining in Guizhou Province(2023013)。
