Open AccessOn the effect of transition from a model with concentrated parameters to a model with distributed parameters
Author(s) -
М. В. Половинкина
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1902/1/012041
Subject(s) - ordinary differential equation , stability (learning theory) , diffusion , mathematics , logistic function , differential equation , point (geometry) , transition point , differential (mechanical device) , mathematical analysis , thermodynamics , computer science , physics , statistics , geometry , machine learning
We note from a general point of view that adding diffusion terms to ordinary differential equations, for example, to logistic ones, can in some cases improve sufficient conditions for the stability of a stationary solution. We give examples of models in which the addition of diffusion terms to ordinary differential equations changes the stability conditions of a stationary solution.