当前位置: X-MOL 学术J. Appl. Math. Comput. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Modeling the effect of population pressure on the dynamics of carbon dioxide gas
Journal of Applied Mathematics and Computing ( IF 2.2 ) Pub Date : 2021-01-22 , DOI: 10.1007/s12190-020-01492-8
A. K. Misra , Anjali Jha

To understand the effect of population pressure (demand of population for forestry trees and land) on the atmospheric level of carbon dioxide gas, a nonlinear model is formulated and analyzed. In formulating the model, four dynamical variables namely; concentration of carbon dioxide, human population, population pressure and forest biomass are considered. In the modeling process, it is assumed that the atmospheric level of carbon dioxide gas increases naturally as well as through anthropogenic emission. Further, it depletes naturally and due to its uptake by the forestry biomass. Moreover, it is assumed that both the human population and forestry biomass follow logistic growth and the population pressure reduces only the carrying capacity of forestry biomass, which decreases the absorption rate of \(\hbox {CO}_2\) by forests. Feasibility and stability of equilibria are discussed. Analytical findings demonstrate that as deforestation rate due to human population crosses a critical value, the system destabilizes and oscillations arise through Hopf-bifurcation. Also, it is found that transcritical bifurcation takes place between two equilibria. Our analysis reveals that as the reduction rate coefficient due to population pressure increases, the forestry biomass decreases and the concentration of carbon dioxide increases. Numerical simulation is performed, which supports analytical findings. It is also noted that the dynamics of \(\hbox {CO}_2\) is much affected by anthropogenic emissions but the impact of deforestation due to population pressure can not be ignored.



中文翻译:

模拟人口压力对二氧化碳气体动力学的影响

为了了解人口压力(林木和土地的人口需求)对大气中二氧化碳气体水平的影响,建立了非线性模型并进行了分析。在建立模型时,有四个动力学变量:考虑二氧化碳的浓度,人口,人口压力和森林生物量。在建模过程中,假设二氧化碳气体的大气水平自然增加,也通过人为排放增加。此外,由于其被林业生物质吸收,自然损耗。此外,假设人口和林业生物量都遵循逻辑增长,人口压力仅降低了林业生物量的承载能力,从而降低了\(\ hbox {CO} _2 \)的吸收率。由森林。讨论了平衡的可行性和稳定性。分析结果表明,由于人口造成的毁林率超过临界值,该系统不稳定,并因霍普夫分支而引起振荡。同样,发现跨临界分叉发生在两个平衡之间。我们的分析表明,由于人口压力导致的减少率系数增加,林业生物量减少,二氧化碳浓度增加。进行了数值模拟,这支持了分析结果。还应注意,\(\ hbox {CO} _2 \)的动力学受人为排放的影响很大,但是由于人口压力造成的森林砍伐的影响不容忽视。

更新日期:2021-01-22
down
wechat
bug