论文标题
单个种群非自治系统的繁殖和年龄选择性收获延迟之间的相互作用
Interplay between reproduction and age selective harvesting delays of a single population non-autonomous system
论文作者
论文摘要
本文涉及对具有收获配方的非自治，基于单人群年龄的生长模型的动力学分析。首先，我们得出了足够的永久性和正不变性条件。然后，通过构建标量函数，即Lyapunov函数，我们达到了适合全球吸引力的标准。在Brouwer固定点和延续定理的帮助下，我们获得了积极周期性解决方案存在的限制。然后，我们证明，只有一种与其他解决方案不同的本质上几乎是周期性的解决方案。此外，我们进行数值模拟以支持分析结果。
This paper is concerned with an analysis of the dynamics of a non-autonomous, single population age based growth model with harvesting formulation. First, we derive sufficient conditions for permanence and positive invariance. Then, by constructing a scalar function, namely the Lyapunov function, we arrive at a suitable criterion for global attractivity. With the help of Brouwer fixed point and continuation theorems, we obtain constraints for the existence of a positive periodic solution. Then we prove that there exists only one solution which is almost periodic in nature that is distinct from every other solution. Further, we carry out a numerical simulation to support the analytical findings.
