.png){kind=icon}
返回
Turing instability for a ratio-dependent predator-prey model with diffusion
.png){kind=icon}
OA
AI
DOI：10.1016/j.amc.2011.02.018.png)
.png){kind=icon}
.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
Ratio-dependent predator-prey models have been increasingly favored by field ecologists where predator-prey interactions have to be taken into account the process of predation search. In this paper we study the conditions of the existence and stability properties of the equilibrium solutions in a reaction-diffusion model in which predator mortality is neither a constant nor an unbounded function, but it is increasing with the predator abundance. We show that analytically at a certain critical value a diffusion driven (Turing type) instability occurs, i.e. the stationary solution stays stable with respect to the kinetic system (the system without diffusion). We also show that the stationary solution becomes unstable with respect to the system with diffusion and that Turing bifurcation takes place: a spatially non-homogenous (non-constant) solution (structure or pattern) arises. A numerical scheme that preserve the positivity of the numerical solutions and the boundedness of prey solution will be presented. Numerical examples are also included. (c) 2011 Elsevier Inc. All rights reserved.
Keyword:
Reaction-diffusion system
Population dynamics
Bifurcation
Pattern formation
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
3.4
论文数:
2.3W
被引数:
3.3W
机构
引用论文
.png){kind=icon}
The Role of PSA Density among PI‐RADS v2.1 Categories to Avoid an Unnecessary Transition Zone Biopsy in Patients with PSA 4‐20 ng/mLPi-rads v2.1类别中PSA密度的作用，以避免PSA 4-20 ng/mL患者不必要的过渡区活检
OAAI
OAAI分享收藏分享收藏
查看更多内容