A mathematical model for degradation of forest area by industrialization causing migration of wildlife species Shikha Jatav, Shyam Sundar, Alok Malviya Nonlinear Analysis Modelling and Control, 2025 This study presents a nonlinear mathematical model incorporating four key variables: forest area, biomass density, industrialization level, and wildlife population. The model assumes that biomass is proportional to forest area and that wildlife density depends on biomass availability. Our analysis demonstrates that increasing industrialization leads to significant forest depletion, which in turn accelerates wildlife migration. The results highlight critical thresholds beyond which forest degradation becomes irreversible, emphasizing the urgent need for sustainable industrial policies and conservation strategies. Numerical simulations and sensitivity analysis validate the model outcomes and provide insights for ecological preservation.
A Mathematical Model to Unravel the Acid Rain Impact on the Growth of Plant Biomass , M. Trivedi, S. Sundar, , R. N. Tripathi, and Journal of Environmental Informatics Letters, 2025 Acid rain, characterized by precipitation containing acidic components such as sulphuric and nitric acid, poses a serious environmental threat. It is caused by the release of acid-forming gases from sources such as vehicular exhaust, industrial emissions, fossil fuel combustion, and volcanic eruptions. Acid rain has detrimental effects on ecosystems, particularly on plant biomass. This study presents a nonlinear six-dimensional mathematical model designed to analyze the impact of acid rain on plant growth. The model examines interactions between key factors, including human population growth, acid-forming gases, atmospheric water droplets, acid rain, and plant biomass uptake. The logistic growth models are applied to both the human population and the plant biomass, with stability analysis conducted to assess the behaviour of model equilibria. The results of the model show a direct relation between the growth of human population and the increased level of acid forming gases emitted from various sources resulting in the formation of acid rain. When acid rain is uptaken by the plant species, it adversely affects the growth of plant biomass. This disruption has a significant impact on the ecosystem, which may lead to a decrease in plant diversification. Further, it is shown that the plant biomass may become extinct if the amount of acid rain keeps on increasing. In order to evaluate the sensitivity of model solutions with respect to major parameters of the system, a simple differential sensitivity analysis has also been performed. Furthermore, numerical simulation has been conducted in order to corroborate the findings obtained through model analysis.
Modeling and Stability Analysis of the Effect of Awareness Programs on the Control of Atmospheric Pollutants Emitted from Various Pollutant Emitting Sources to Reduce Global Warming , S. Sundar, N. Swaroop, , R. Naresh, and Journal of Environmental Informatics Letters, 2024 This study explores the dynamics of atmospheric pollutants released from various sources, including vehicular traffic, small and large-scale production, building industries, and various other human activities, to lessen the threat posed by global warming. These pollutants are also responsible for causing severe respiratory ailments and numerous fatalities among human populations. The presence of various pollutants emitting sources has led to a rise in the cumulative concentration of pollutants in the atmosphere that pose a threat both to the environment and human health. Therefore, it is very important to study the mitigation of such pollutants by making people aware of their harmful effects. Media awareness campaigns can have a significant impact on the mitigation of pollutants in the atmosphere causing global warming. Given this, in the present study, the role of media awareness campaigns in the abatement of pollutants is ex-plored by developing and analyzing a nonlinear mathematical model. The stability theory of ordinary differential equations is used to analyze the mathematical model. To investigate the feasibility of the model system, local and global stability conditions are established. The model analysis demonstrates that media awareness programs have a significant impact on reducing air pollutants, which in turn reduces global warming.
Modelling the effect of precipitation on the removal of gaseous pollutants forming secondary species and particulate matters Journal of Mathematical Control Science and Applications, 2016
