Explicit solution of fractional order atmosphere-soil-land plant carbon cycle system

IF 3.1 3区环境科学与生态学 Q2 ECOLOGY

Ecological Complexity Pub Date : 2021-12-01 DOI:10.1016/j.ecocom.2021.100966

Tanfer Tanriverdi , Haci Mehmet Baskonus , Adnan Ahmad Mahmud , Kalsum Abdulrahman Muhamad

引用次数: 18

Abstract

In this paper, the dynamical behaviours and mathematics of the fractional order atmosphere-soil-land plant carbon cycle system involving the time dependent variable of carbon flux in atmosphere, the carbon flux of soil, and the carbon flux of animals and plants are qualitatively and numerically investigated. Explicit solutions in terms of the Mittag-Leffler functions to the terrestrial carbon cycle system around the equilibrium point are first time reported by applying Laplace transform of Caputo fractional derivative. The graphs of obtained solutions the time dependent variable of carbon flux in atmosphere, the carbon flux of soil and the carbon flux of animals and plants are plotted against each other. Explicit solutions to original system and stability of the fractional order linearized system around the equilibrium point are graphically compared as well.

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分数阶大气-土壤-土地植物碳循环系统的显式解

本文以大气碳通量、土壤碳通量和动植物碳通量为时变变量，对分数阶大气-土壤-土地-植物碳循环系统的动力学行为和数学进行了定性和数值研究。利用Caputo分数阶导数的拉普拉斯变换，首次报道了平衡点附近陆地碳循环系统的Mittag-Leffler函数的显式解。得到了大气碳通量、土壤碳通量和动植物碳通量随时间变化的解的相互关系图。并对原系统的显式解和分数阶线性化系统在平衡点附近的稳定性进行了图解比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Ecological Complexity 环境科学-生态学

CiteScore

7.10

自引率

0.00%

发文量

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