Construction of a system of differential equations taking into accountconvective transfer

Population models that take into account migration are considered. The purpose of this study is to construct a system of differential equations, taking into account the peculiarities of the life of acridids. To take into account such phenomenological observations of the spatiotemporal dynamics ¬of the population size, it is necessary to introduce migration terms that depend on the size. One way to take this into account is to introduce ¬gradient terms into the reaction-diffusion equation. One approach to solving this problem can be the assumption that the mobility of individuals, that is, the diffusion coefficient is not a constant value, but ¬depends on the density of the population. The paper considers the case of dependence on population density in a power-law manner.

Ҳали таржима қилинмаган