一类具有时滞的扩散植物wrack模型的动力学分析

IF 3.1 3区 环境科学与生态学 Q2 ECOLOGY
Quanli Ji , Ranchao Wu , Biao Liu
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引用次数: 0

摘要

本文针对植物衰老和濑鱼腐烂的特点,将时滞引入到植物濑鱼模型中。分析和数值研究了wrack衰变和时滞对扩散植物wrack模型动力学行为的影响。当延迟为零时,wrack衰变会引起唯一平衡点稳定性的变化,进一步导致Hopf分岔和图灵不稳定性的发生。当存在延迟时,建立了Hopf分岔发生的条件。通过比较无延迟和有延迟模型的结果,发现当wrack衰减值可以稳定零延迟模型时,延迟的增加可能导致没有稳定开关、单个稳定开关或多个稳定开关。数值模拟表明,当wrack衰变值可以在零延迟的情况下使模型不稳定时,较小的延迟可能导致植被的均匀分布,而较大的延迟可能会导致植被出现周期性振荡。所获得的结果为理解这种具有延迟的植物-濑鱼模型的时空演化提供了基础。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Dynamical analysis of a diffusion plant-wrack model with delay

In this paper, in view of the senescence of plant and the decay of wrack, time delays are introduced into the plant-wrack model. The effects of wrack decay and time delay on the dynamical behaviors of the diffusive plant-wrack model are studied analytically and numerically. When the delay is zero, the wrack decay will induce the change of stability of the unique equilibrium point, further lead to the occurrence of the Hopf bifurcation and the Turing instability. When the delay is present, the conditions for the occurrence of the Hopf bifurcation are established. By comparing the results of the model without and with delay, it is found that the increases of delay may induce no stability switches, a single stability switch or multiple stability switches, when the value of wrack decay can stabilize model with zero delay. When the value of wrack decay can destabilize model with zero delay, numerical simulations show that the small delay may cause homogeneous distributions of vegetation, while the larger delay may cause the emergence of periodic oscillation of vegetation. The obtained results provide a basis for understanding the spatiotemporal evolution of such a plant-wrack model with delay.

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来源期刊
Ecological Complexity
Ecological Complexity 环境科学-生态学
CiteScore
7.10
自引率
0.00%
发文量
24
审稿时长
3 months
期刊介绍: Ecological Complexity is an international journal devoted to the publication of high quality, peer-reviewed articles on all aspects of biocomplexity in the environment, theoretical ecology, and special issues on topics of current interest. The scope of the journal is wide and interdisciplinary with an integrated and quantitative approach. The journal particularly encourages submission of papers that integrate natural and social processes at appropriately broad spatio-temporal scales. Ecological Complexity will publish research into the following areas: • All aspects of biocomplexity in the environment and theoretical ecology • Ecosystems and biospheres as complex adaptive systems • Self-organization of spatially extended ecosystems • Emergent properties and structures of complex ecosystems • Ecological pattern formation in space and time • The role of biophysical constraints and evolutionary attractors on species assemblages • Ecological scaling (scale invariance, scale covariance and across scale dynamics), allometry, and hierarchy theory • Ecological topology and networks • Studies towards an ecology of complex systems • Complex systems approaches for the study of dynamic human-environment interactions • Using knowledge of nonlinear phenomena to better guide policy development for adaptation strategies and mitigation to environmental change • New tools and methods for studying ecological complexity
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