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首页> 外文会议>International Conference on Mathematics, Computational Sciences and Statistics >Mathematical model of deforestation effects on wildlife with Holling type-II and type-III functional response
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Mathematical model of deforestation effects on wildlife with Holling type-II and type-III functional response

机译：具有Holling型和III型功能反应的野生动物森林抗森林效果的数学模型

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Deforestation is the consequence of large growth in human population. The increasing human population has resulted in increasing demand for forest resources. As the forest land decreases, wildlife species that are fully dependent on forest resources will lose their food sources and natural habitat. In this paper, we present a mathematical model to study the impact of deforestation on wildlife species. The model consist of two types, namely using the Holling type II and type III functional response on interaction between wildlife and forest resources. From the result, each type of model has six equilibrium points. The extinction equilibrium point, the extinction of both human population and wildlife species equilibrium point, and the extinction of human population equilibrium point. Those three equilibrium points are unstable, while the extinction of forest resource and wildlife species equilibrium point, the extinction of wildlife species equilibrium point, and the coexistence equilibrium point are locally asymptotically stable with some conditions. Furthermore, a numerical simulation was performed to determine the comparison of population growth in the forest resources and wildlife species from both the models. Based on the analysis of the model, it can be concluded that wildlife has a level of utilization of forest resources following the Holling type III descend slower than wildlife that have utilization rates following the Holling type II. This happens because wildlife with predation level following the Holling type III will look for other forest resources if the forest resources that they normally consume are running out, as a result the forest resources in the model with the Holling type III decreased more significantly than the model with the Holling type II.
机译：森林砍伐是人口大幅增长的结果。人口的增加导致森林资源需求越来越大。随着林地降低，完全依赖森林资源的野生动物种将失去食物来源和自然栖息地。在本文中，我们提出了一种数学模型来研究砍伐森林对野生动物物种的影响。该型号由两种类型组成，即使用Holling II型和III型功能响应野生动物和森林资源之间的相互作用。从结果中，每种类型的型号都有六个均衡点。灭绝均衡点，人口和野生动物物种均衡点的灭绝，以及人口均衡点的灭绝。这三个均衡点是不稳定的，而森林资源和野生动物物种平衡点的灭绝，野生动物物种均衡点的灭绝，并且共存平衡点在某些条件下局部渐近稳定。此外，进行了数值模拟，以确定来自两种模型的森林资源和野生动物种类中的人口增长的比较。基于该模型的分析，可以得出结论，野生动物在Holling III型后下降后的森林资源利用水平，这些利用速度比Holling II型的利用率较慢。发生这种情况，因为野生动物在Holling IID型捕食水平之后会寻找其他森林资源，如果他们通常消耗的森林资源，它们通常会消耗耗尽，因此由于HOLLING III型模型中的森林资源比模型更大地减少用荷敏型II型。

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