RESEARCH OF MATHEMATICAL MODELS OF POPULATIONS OF BIOLOGICAL SPECIES BY MEANS OF NUMERICAL METHODS
DOI:
https://doi.org/10.47100/herald.v1i2.80Keywords:
Free growth of populations, logistic model of populations, Mathcad PPP, numerical methods, theoretical and computer solutions of models, interaction of populations, differential equations, population dynamics, theoretical and experimental solutions of differential equations.Abstract
At the present stage of the study of populations of biological species, numerical methods were widely used. The article studies mathematical models of free and restricted population growth. Numerical solutions of these mathematical models are presented. These solutions are obtained by means of computer technology. The interaction of populations of two species in the predator-prey
ecosystem is studied. Differential equations for the interaction of these species are considered. Graphical and numerical solutions of this mathematical model are presented. These models are obtained using the Mathcad application package. The phase diagram of interaction between two populations is studied. Theoretical and computer solutions of the system of differential equations of population dynamics are compared. Experimental data on rabbit and lynx populations are presented.
