文章基本信息

标题：Bifurcation analysis and chaos control for a plant–herbivore model with weak predator functional response
本地全文：下载
作者：Qamar Din ; M. Sajjad Shabbir ; M. Asif Khan 等
期刊名称：Journal of Biological Dynamics
印刷版ISSN：1751-3758
电子版ISSN：1751-3766
出版年度：2019
卷号：13
期号：1
页码：481-501
DOI：10.1080/17513758.2019.1638976
出版社：Taylor & Francis
摘要：The interaction between plants and herbivores is one of the most fundamental processes in ecology. Discrete-time models are frequently used for describing the dynamics of plants and herbivores interaction with non-overlapping generations, such that a new generation replaces the old at regular time intervals. Keeping in view the interaction of the apple twig borer and the grape vine, the qualitative behaviour of a discrete-time plant-herbivore model is investigated with weak predator functional response. The topological classification of equilibria is investigated. It is proved that the boundary equilibrium undergoes transcritical bifurcation, whereas unique positive steady-state of discrete-time plant-herbivore model undergoes Neimark-Sacker bifurcation. Numerical simulation is provided to strengthen our theoretical discussion.
关键词：Plant–herbivore model ; stability ; transcritical bifurcation ; Neimark–Sacker bifurcation ; chaos control