论文标题
非自主系统的动力学，年龄结构化的生长以及猎物和相互干扰的捕食者的收获，依赖替代食品
Dynamics of a non-autonomous system with age-structured growth and harvesting of prey and mutually interfering predator with reliance on alternative food
论文作者
论文摘要
我们对非自治猎物预言模型的行为进行了详细的分析，其中考虑了基于年龄的增长，而猎物中的年龄歧视收获以及捕食者在没有特定猎物的情况下对替代食品的依赖。我们首先得出某些足够的条件，以实现永久性和积极的不变性，然后继续构建Lyapunov功能，从而为全球吸引力提供一些限制。在延续定理的帮助下，我们得出了最佳拟合标准，以证明发生阳性周期性解决方案。此外，使用Arzela-Ascoli定理，我们为几乎是周期性的唯一积极解决方案制定了证明，并进行数值模拟以验证分析结果。借助图和桌子，我们响应替代食品和延误的捕食者系统的性质。
We perform a detailed analysis of the behaviour of a non-autonomous prey-predator model where age based growth with age discriminatory harvesting in prey and predator's reliance upon alternative food in the absence of that particular prey are considered. We begin by deriving certain sufficient conditions for permanence and positive invariance and then proceed to construct a Lyapunov function to derive some constraints for global attractivity. With the help of continuation theorem we arrive at the best fit criterion to prove the occurrence of a positive periodic solution. Moreover, using Arzela-Ascoli theorem we formulate a proof for a unique positive solution to be almost periodic and we carry out numerical simulation to verify the analytical findings. With the aid of graphs and tables we show the nature of the prey-predator system in response to the alternative food and delays.
