On some features of diffusion logistics models
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 2, Tome 207 (2022), pp. 101-106

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We note that in some cases diffusion terms in an ordinary differential equations (for example, the logistic equation) can improve (weaken) sufficient conditions for the stability of a stationary solution. Examples are given.
Mots-clés : diffusion model
Keywords: stationary state, stability.
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M. V. Polovinkina. On some features of diffusion logistics models. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 2, Tome 207 (2022), pp. 101-106. http://geodesic.mathdoc.fr/item/INTO_2022_207_a10/