Geodesic
On sufficient conditions for the stability of a stationary solution and on one effect in diffusion models of oncological processes
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings – XXXI". Voronezh, May 3-9, 2020, Tome 204 (2022), pp. 115-123

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Sufficient conditions for the stability of the stationary solution in the population diffusion model of tumor growth and in the model of the immune response are established. An effect is revealed that is inherent only in the diffusion model, in contrast to the point model: the trivial solution may turn out to be stable depending on the size of the domain considered.
Keywords: system with distributed parameters, population diffusion model of tumor growth, stability of stationary solution.
Mots-clés : immune response model 
@article{INTO_2022_204_a11,
     author = {M. V. Polovinkina and I. P. Polovinkin},
     title = {On sufficient conditions for the stability of a stationary solution and on one effect in diffusion models of oncological processes},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {115--123},
     publisher = {mathdoc},
     volume = {204},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2022_204_a11/}
}
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M. V. Polovinkina; I. P. Polovinkin. On sufficient conditions for the stability of a stationary solution and on one effect in diffusion models of oncological processes. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings – XXXI". Voronezh, May 3-9, 2020, Tome 204 (2022), pp. 115-123. http://geodesic.mathdoc.fr/item/INTO_2022_204_a11/