The paper discusses the impact of allocation of resource reserves for the development of mineral deposits on protected populations. The main method of assessing this effect is mathematical modeling. The results of the study were obtained using a model based on two parabolic partial differential equations (diffusion equations). The equations describe the dynamics of a population in a bilocal habitat, when the boundary of the protected area divides the area into two parts–protected and unprotected. At the same time, the species are free to pass from one part of the habitat to another. The model also takes into account the diffusion movement of species across the habitat and cross-diffusion, which means both the competition of species for available resources and their possible coexistence. Numerical calculations demonstrate that with a proper assessment of the impact on the natural potential of the reserve, it is possible to maintain stable densities of protected populations in both parts of the habitat, but at a slightly lower level. The case of high man-made loads on protected populations leading to their degeneration is also considered. The work shows that the presence of a sufficient food resource has a beneficial effect on the density of the protected and unprotected parts of the population.
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