On the stability of stationary states in diffusion models in biology and humanities

DOI10.1134/S1995080222090220zbMath1505.93194OpenAlexW4312242101MaRDI QIDQ2095821

M. V. Polovinkina, I. P. Polovinkin

Publication date: 15 November 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080222090220

zbMATH Keywords

stabilityinitial boundary value problemdiffusion modelsufficient stability conditionstationary solution (state)

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Population dynamics (general) (92D25) Asymptotic stability in control theory (93D20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Pathology, pathophysiology (92C32)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear dynamics of emotion-cognition interaction: When emotion does not destroy cognition?
• Replicator equations and the principle of minimal production of information
• Approximate solutions for HBV infection with stability analysis using LHAM during antiviral therapy
• An SIS model for the epidemic dynamics with two phases of the human day-to-day activity
• Optimization methods for solving inverse immunology and epidemiology problems
• Spectral theory of operators in Hilbert space
• Mathematical Models in Population Biology and Epidemiology
• The Interplay Between Voluntary Vaccination and Reduction of Risky Behavior: A General Behavior-Implicit SIR Model for Vaccine Preventable Infections
• A Numerical Model of Inflammation Dynamics in the Core of Myocardial Infarction
• Stability of stationary solutions for the glioma growth equations with radial or axial symmetries

This page was built for publication: On the stability of stationary states in diffusion models in biology and humanities