Numerical Computations of Demographic Population Dynamics Models
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In this paper, the population dynamics models including the Environmental problems is of paramount importance which is the issue of controlling the population size of living organisms in complex ecological systems has become urgent. Mathematical models are needed that allow one to assess the possible consequences of human impact on nature and organize his activities in such a way as to prevent an “ecological catastrophe. Such problems can be solved if a mathematical model corresponding to the required situation is analyzed. In this work, we built, solved, and also investigated a model of unlimited population growth, a model of the predator-prey system according to the Lotka-Volterra problem.
Komlos J., Artzrouni M., Mathematical Investigations of the Escape from the Malthusian Trap. Mathematical Population Studies, 2, pp. 269–287, 1990.
Kögel T., Prskawetz A., Agricultural Productivity Growth and Escape from the Malthusian Trap. Journal of Economic Growth, 6, pp. 337–357, 2001.
Nefedov S. A., Turchin P. V., Experience in modeling demographic and structural cycles. History and Mathematics: Macrohistorical dynamics of society and state, pp. 153–167, 2006.
Malkov S. Y., Social self-organization and the historical process. Possibilities of mathematical modeling, 2009.
Zaripov S.H., Abzalilov D.F., Problems of mathematical ecology and the Maxima package. Kazan, pp. 120, 2015.
Burger R., The mathematical theory of selection, recombination, and mutation, Wiley Series in Mathematical and Computational Biology, John Wiley & Sons, Ltd., Chichester, 2000.
Demidova A. V., Kulyabov D. S., Introduction of Self-Consistent Term in Stochastic Population Model Equation. Bulletin of the Peoples’ Friendship University of Russia. Series "Mathematics. Informatics. Physics", 3, pp. 69–78, 2012.