Muxamediyeva D.K.  

Properties of the system of reaction equations-diffusion with double nonlinearity based on self-similar analysis of solutions

Based on the self-similar analysis of solutions, the properties of solutions of the nonlinear system of reaction-diffusion equations of a single biological population of the Kolmogorov-Fisher type are investigated. Suitable initial approximations are proposed for a rapidly converging iterative process. The above properties are established on the basis of the theorem by comparing the solution, and the asymptotics of self-similar solutions are obtained, including for the case of fast diffusion. Based on the solutions found, numerical calculations were performed.

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