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Related Experiment Video

Updated: May 16, 2025

Exploring the Effects of Atmospheric Forcings on Evaporation: Experimental Integration of the Atmospheric Boundary Layer and Shallow Subsurface

Exploring the Effects of Atmospheric Forcings on Evaporation: Experimental Integration of the Atmospheric Boundary Layer and Shallow Subsurface

Published on: June 8, 2015

How mathematical models might predict desertification from global warming and dust pollutants.

Eman Hakeem¹, Shireen Jawad¹, Ali Hasan Ali^2,3

¹Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq.

|April 1, 2025

Summary

Global warming and dust pollutants threaten ecosystems. A new mathematical model shows how plant biomass dynamics are affected, revealing conditions that could lead to desertification if not managed.

Keywords:

Desertification Dust pollutants Equilibrium points Global warming Mathematical model Plant biomass Stability analysis Stability analysis, The 4th-order Runge-Kutta method approximation

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Last Updated: May 16, 2025

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Area of Science:

Ecology
Environmental Science
Mathematical Biology

Background:

Global warming and dust pollutants pose significant threats to human health and ecosystems.
Plant biomass in greenbelts offers an efficient method for reducing greenhouse gas and dust emissions.

Purpose of the Study:

To develop and analyze a mathematical model simulating the impact of dust pollutants and climate change on plant biomass dynamics.
To identify equilibrium states and assess their stability to understand desertification risks.

Main Methods:

Development of a nonlinear mathematical model for plant biomass dynamics.
Application of stability analysis theory to determine equilibrium positions and their stability.
Validation of the theoretical model through numerical simulations.

Main Results:

The model identified two consistently stable steady states for plant biomass dynamics.
Analysis revealed that transcritical bifurcation can occur based on the plant's growth rate.
Numerical simulations confirmed that improper management of growth rates and depletion coefficients can lead to desertification.

Conclusions:

The developed mathematical model effectively simulates desertification risks associated with global warming and dust pollutants.
Effective management of plant growth rates and dust pollutant coefficients is crucial for preventing desertification.
The study validates the use of stability analysis and numerical simulations for ecological modeling.