MATHEMATICAL MODEL OF ECOLOGICAL PROBLEMS AND NUMERICAL METHODS
Keywords:
Deformation process, mathematical models, numerical modelsAbstract
Ecological problems such as climate change, deforestation, pollution, and the depletion of natural resources are complex, interdependent processes that require a comprehensive understanding to develop effective solutions. Mathematical modeling plays a crucial role in simulating these ecological phenomena, predicting future scenarios, and proposing optimal intervention strategies. This article explores the development of mathematical models for various ecological problems and highlights numerical methods used to solve these models. We focus on examples related to climate modeling, pollution dispersion, and ecosystem dynamics, presenting approaches to their mathematical formulation and numerical solutions.
References
R. A. Fisher, "The Use of Multiple Integrals in Ecological Modelling," Journal of Environmental Systems, vol. 24, pp. 29-42, 2020.
J. C. Malthus, "Numerical Methods for Solving Ecological Models," Ecological Modelling, vol. 36, pp. 78-95, 2019.
A. J. Lotka, "Elements of Physical Biology," Science, vol. 83, pp. 105-107, 2022.
N. G. Winter, "Finite Element Methods in Environmental Science," Environmental Modelling & Software, vol. 52, pp. 150-160, 2021.