Finite-time stability and optimal control of a stochastic reaction-diffusion model for Alzheimer's disease with impulse and time-varying delay

DOI10.1016/j.apm.2021.10.004zbMath1525.92032OpenAlexW3207477325MaRDI QIDQ6135654

Jing Hu, Anke Meyer-Baese, Ming Ye, Qi-min Zhang

Publication date: 25 August 2023

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2021.10.004

zbMATH Keywords

Alzheimer's diseasefinite-time stabilitytime-varying delayimpulsive treatmentLévy jump process

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Applications of optimal control and differential games (49N90) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Optimality conditions for problems involving randomness (49K45)

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Bifurcation Analysis and Finite-Time Contraction Stability of an Alzheimer Disease Model ⋮ Analysis of a stochastic reaction-diffusion Alzheimer's disease system driven by space-time white noise ⋮ A reaction-diffusion epidemic model with virus mutation and media coverage: theoretical analysis and numerical simulation ⋮ Near‐optimal control of a stochastic model for mountain pine beetles with pesticide application ⋮ Novel LMI-based adaptive boundary synchronisation of fractional-order fuzzy reaction–diffusion BAM neural networks with leakage delay ⋮ Finite time stability analysis of the coupled stochastic reaction-diffusion systems on networks ⋮ Global attractor and threshold dynamics of a reaction-diffusion population model in a polluted environment

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