论文标题
与植物中挥发性化合物的粮食相互作用的动力学
Dynamics of tritrophic interaction with volatile compounds in plants
论文作者
论文摘要
在本文中，我们将考虑一个数学模型，该模型描述了植物，食草动物与其自然敌人之间的粮食相互作用，植物释放的挥发性有机化合物（VOC）起着重要作用。我们显示了系统解决方案的阳性和界限，正平衡的存在及其局部稳定性，我们通过Li和Muldowney的几何方法分析了正平衡的全球稳定性。我们要注意参数，以讨论不同类型的分叉。最后，我们提出了一些数值模拟，以证明我们的分析结果是合理的。
In this paper we will consider a mathematical model that describes, the tritrophic interaction between plants, herbivores and their natural enemies, where volatiles organic compounds (VOCs) released by plants play an important role. We show positivity and boundedness of the system solutions, existence of positive equilibrium and its local stability, we analyse global stability of positive equilibrium via the geometrical approach of Li and Muldowney. We pay attention to parameters in order to discuss different types of bifurcations. Finally, we present some numerical simulations to justify our analytical results.
