• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Ecological Complexity >Existence and non-existence of spatial patterns in a ratio-dependent predator-prey model
【24h】

Existence and non-existence of spatial patterns in a ratio-dependent predator-prey model

机译：基于比率的捕食者－食饵模型中空间模式的存在与不存在

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

In this paper, first we consider the global dynamics of a ratio-dependent predator-prey model with density dependent death rate for the predator species. Analytical conditions for local bifurcation and numerical investigations to identify the global bifurcations help us to prepare a complete bifurcation diagram for the concerned model. All possible phase portraits related to the stability and instability of the coexisting equilibria are also presented which are helpful to understand the global behaviour of the system around the coexisting steady-states. Next we extend the temporal model to a spatiotemporal model by incorporating diffusion terms in order to investigate the varieties of stationary and non-stationary spatial patterns generated to understand the effect of random movement of both the species within their two-dimensional habitat. We present the analytical results for the existence of globally stable homogeneous steady-state and non-existence of non-constant stationary states. Turing bifurcation diagram is prepared in two dimensional parametric space along with the identification of various spatial patterns produced by the model for parameter values inside the Turing domain. Extensive numerical simulations are performed for better understanding of the spatiotemporal dynamics. This work is an attempt to make a bridge between the theoretical results for the spatiotemporal model of interacting population and the spatial patterns obtained through numerical simulations for parameters within Turing and Turing-Hopf domain.
机译：在本文中，首先，我们考虑了比例依赖的捕食者-捕食者模型的全局动力学，其中捕食者物种的密度依赖于死亡率。局部分支的分析条件和确定全局分支的数值研究有助于我们为相关模型准备完整的分支图。还提出了与共存平衡的稳定性和不稳定性有关的所有可能的相图，这有助于理解围绕共存稳态的系统的整体行为。接下来，我们通过结合扩散项将时空模型扩展为时空模型，以便研究所生成的固定和非固定空间模式的多样性，以了解两种物种在其二维栖息地内随机运动的影响。我们提出了存在全局稳定的齐次稳态和不存在的非恒定平稳状态的分析结果。在二维参数空间中准备Turing分叉图，并识别模型为Turing域内部的参数值生成的各种空间模式。为了更好地理解时空动力学，进行了广泛的数值模拟。这项工作试图在相互作用人口的时空模型的理论结果与通过图灵和图灵霍普夫域内参数的数值模拟获得的空间格局之间架起桥梁。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号