Solution of cross-diffusion reaction-diffusion model with double nonlinearity.

In this work, the properties of multicomponent cross-diffusion systems of a biological population with double nonlinearity and variable density are investigated. Using computer modeling, models have been created to analyze and simulate processes in such systems. The estimates necessary to solve the Cauchy problem in the context of these multicomponent cross-diffusion systems are obtained. The results of the study provide important data for understanding the dynamics of biological populations and may also be useful in the context of biological resource management and analysis of ecosystem interactions. This research has significant implications for the fields of ecology and biology and has the potential to advance our understanding of complex biological systems. [ABSTRACT FROM AUTHOR]