Abstract
In this paper, a mathematical model is projected and analyzed to study the deforestation due to human population and its effect on farm fields and role of technology in its conservation. We consider the variables namely, density of human population, density of trees, farm fields and degree of endeavour of technology used for the preservation of trees. Density of trees is assumed to be depleted by human population, but it is conserved by technological endeavour. Further this affects the growth rate of crops in farm fields. We discretize the model by applying backward Euler scheme and analyze the stability of the model. Finally, we have simulated our model for the deforestation and its effect on rice crops in India for the year 2005, and have considered reforestation techniques for its conservation and have provided numerical simulations using MATLAB.
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Sebastian, E., Victor, P. (2018). A Mathematical Model on Deforestation Due to Human Population and Its Effect on Farm Fields: Role of Technology in Its Conservation. In: Satapathy, S., Bhateja, V., Das, S. (eds) Smart Computing and Informatics . Smart Innovation, Systems and Technologies, vol 78. Springer, Singapore. https://doi.org/10.1007/978-981-10-5547-8_44
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DOI: https://doi.org/10.1007/978-981-10-5547-8_44
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