Modeling of ecosystems as a process of self-organization

N. T. Levashova; A. A. Melnikova; D. V. Luk'yanenko; A. E. Sidorova; S. V. Bytsura

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Modeling of ecosystems as a process of self-organization

N. T. Levashova ; A. A. Melnikova ; D. V. Luk'yanenko ; A. E. Sidorova ; S. V. Bytsura

Matematičeskoe modelirovanie, Tome 29 (2017) no. 11, pp. 40-52

Voir la notice de l'article provenant de la source Math-Net.Ru

Résumé

The authors propose to use the model of the activator-inhibitor for the description of ecosystems, that are small towns surrounded by countryside. The basis of the presented model is based on the authors modified FitzHugh–Nagumo system of equations. The paper deals with analytical and numerical study of stationary solutions of the system.

Keywords: urban ecosystem, self-organization, active media, internal transition layer, Rosenbrock scheme, error corridor.

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     author = {N. T. Levashova and A. A. Melnikova and D. V. Luk'yanenko and A. E. Sidorova and S. V. Bytsura},
     title = {Modeling of ecosystems as a process of self-organization},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {40--52},
     publisher = {mathdoc},
     volume = {29},
     number = {11},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2017_29_11_a2/}
}

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N. T. Levashova; A. A. Melnikova; D. V. Luk'yanenko; A. E. Sidorova; S. V. Bytsura. Modeling of ecosystems as a process of self-organization. Matematičeskoe modelirovanie, Tome 29 (2017) no. 11, pp. 40-52. http://geodesic.mathdoc.fr/item/MM_2017_29_11_a2/