Deforestation, Carbon dioxide increase in the atmosphere and global warming: A modelling study. (4th May 2021)

• Record Type: Journal Article
• Authors: Panja, Prabir
• Is Part Of: International journal of modelling & simulation. Volume 41:Number 3(2021)
• Page Start: 209
• Page End: 219
• Publication Date: 2021-05-04
• Subjects: Carbon dioxide -- human population -- forest biomass -- global warming -- stability -- Hopf bifurcation; Mathematical models -- Periodicals; Simulation methods -- Periodicals; Mathematical models; Simulation methods; Periodicals; 003.3
• DOI: 10.1080/02286203.2019.1707501
• Languages: English
• ISSNs: 0228-6203

Abstract

ABSTRACT: In this paper, a mathematical model has been formulated by considering carbon dioxide in the atmosphere, human population, forest biomass and global warming as separate compartments. It is assumed that human and forest biomasses grow logistically. It is assumed that the growth rate of human population is affected by global warming through different natural and human activities. Also, it is considered that global warming of the environment increases gradually due to the increase of carbon dioxide in the atmosphere as well as deforestation. Different equilibrium points have been determined. Also, the stability of our proposed system has been explored around these equilibrium points. Hopf bifurcation analysis have been done with respect to some important parameters of our proposed model. Finally, some numerical simulation results have been presented to verify our theoretical results.