捕食者与收获系统相互作用的数学建模分析

Tulu Leta Tirfe
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引用次数: 0

摘要

在现代世界,一切都将通过使用最好的模型来系统地开发。在本文中,我们将利用Holling Type - II型功能响应在两食一食系统动力学领域进行准备和分析,并设计了第一食和第二食比例依赖响应模型,其中考虑了每种食饵的收获情况。并利用该模型研究了狐羚羊兔(Fox - Antelope - rabbit, FAR)在特定栖息地的生态动态。我们还关注了收获对猎物物种的影响。对系统的局部稳定性和全局稳定性进行了分析,并对特定变量进行了数值模拟分析,结果表明,如果羚羊和兔子的收获量不超过其内在生长速率(IGR),则三种物种将共存。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
ANALYSIS OF PREY PREDATOR INTERACTION WITH HARVESTING SYSTEM ON MATHEMATICAL MODELLING
In the Modern World, everything will be systematically developed by using best modelling. In our article we will prepare and analyzed in the area of Dynamics of System of Two Prey and One Predator by using Holling Type – II Functional Response, and we designed the model such as First Prey and the Second prey a ratio – dependent response, where harvesting of each prey species is taken into consideration. And also, the model is used to study the Ecological Dynamics of the Fox – Antelope – Rabit (FAR) in a given habitat. We also focus the effect of harvesting on prey species. We discussed Local and Global Stability Analysis of the system were carried out, and also we analyze numerical simulation for particular variables and then, we conclude and show that the Result of Analysis of our model that the Three Species would co – exist if the Antelope and Rabbit were not harvesting beyond their Intrinsic Growth Rate (IGR).
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