Basins of Fixed Points for Composition of the Lotka–Volterra Mappings and Their Classification
Dilfuza Eshmamatova, Sh. J. Seytov, N. B. Narziev
Abstract
The paper considers the composition of two Lotka–Volterra mappings acting in hyperplane $$H_{1}$$ . The basins of the attracting fixed points of the composition are found by using the graphical analysis methods. And also by developing of computer programs, the basins of attractors are clearly shown. The study of the composition of these mappings is important in genetic problems, since genetic problems are suitable in the modeling epidemiological situations. The model proposed in the paper is applicable to study the dynamics of viral diseases transmitted by direct contact in patients who have concomitant diseases. In other words, it can be used to study the course of coexistence of two or more diseases that coincide in time or are pathogenetically interconnected in one patient.