Geodesic
Numerical modeling of a periodic process that preserves the species structure of a biocommunity
Matematičeskoe modelirovanie, Tome 33 (2021) no. 6, pp. 59-72.

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A model describing the interactions between predators and prey in a given patch is considered. In the model, the prey population stays within the patch while the predator population leaves the patch when food resources are insufficient. The presence or absence of a predator population in the patch is determined by the value of the function representing the trophic attractiveness of the patch for the predator population. The model under study is a system containing differential equations for the population sizes of predators and prey, and a differential equation for the trophic attractiveness of the patch. The problem of preserving the species structure of the patch’s biological community through selection by elimination of individuals is solved. The species structure of the biological community is defined as the entirely of species and types of interactions between them. A model of the periodic process of external intervention that preserves the species structure of the community is presented. A numerical method was developed and a program was designed that implement the built model. The results of the program testing are presented.
Keywords: trophic attractiveness of the patch, periodic process, numerical method. 
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A. S. Ivanova; A. N. Kirillov. Numerical modeling of a periodic process that preserves the species structure of a biocommunity. Matematičeskoe modelirovanie, Tome 33 (2021) no. 6, pp. 59-72. http://geodesic.mathdoc.fr/item/MM_2021_33_6_a4/

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