Controlling the spread of a class of epidemics

DOI10.1007/BF01447658zbMath0691.49024OpenAlexW2043224927MaRDI QIDQ582566

Vincenzo Capasso, Viorel Arnăutu, Viorel Barbu

Publication date: 1989

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01447658

zbMATH Keywords

gradient-type algorithmsman-environment epidemic systemspositive feedback at the boundary

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Population dynamics (general) (92D25) Existence theories for optimal control problems involving partial differential equations (49J20) Methods of reduced gradient type (90C52)

Related Items (9)

Sufficient optimality conditions for a class of epidemic problems with control on the boundary ⋮ The interplay between models and public health policies: regional control for a class of spatially structured epidemics \textit{(think globally, act locally)} ⋮ A note on the existence and stability of an inverse problem for a SIS model ⋮ A Shape Optimization Problem Concerning the Regional Control of a Class of Spatially Structured Epidemics: Sufficiency Conditions ⋮ Volatile opinions and optimal control of vaccine awareness campaigns: chaotic behaviour of the forward-backward sweep algorithm vs. heuristic direct optimization ⋮ On a population dynamics control problem with age dependence and spatial structure ⋮ A vector valued optimization approach to the study of a class of epidemics ⋮ `Period doubling' induced by optimal control in a behavioral SIR epidemic model ⋮ Proximal normal analysis approach to optimal control problems in infinite-dimensional spaces

Cites Work

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• Asymptotic stability for an integrodifferential reaction-diffusion system
• Convergence to equilibrium states for a reaction-diffusion system modelling the spatial spread of a class of bacterial and viral diseases
• Stability and Convergence of Finite Difference Methods for Systems of Nonlinear Reaction-Diffusion Equations

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