Optimal control of pattern formations for an SIR reaction-diffusion epidemic model
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Publication:2115992
DOI10.1016/j.jtbi.2022.111003zbMath1483.92126OpenAlexW4205454664MaRDI QIDQ2115992
Lili Chang, Zhen Wang, Shupeng Gao
Publication date: 15 March 2022
Published in: Journal of Theoretical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jtbi.2022.111003
Epidemiology (92D30) Reaction-diffusion equations (35K57) Existence theories for optimal control problems involving partial differential equations (49J20) Pattern formations in context of PDEs (35B36)
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Cites Work
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- An introduction to optimal control problems in life sciences and economics. From mathematical models to numerical simulation with MATLAB.
- Dynamical behavior of epidemiological models with nonlinear incidence rates
- Optimal control of the chemotherapy of HIV
- Influence of infection rate and migration on extinction of disease in spatial epidemics
- Optimal control strategies for a reaction-diffusion epidemic system
- Optimal control of treatments in a two-strain tuberculosis model
- Exploring optimal control strategies in seasonally varying flu-like epidemics
- Mathematical model of transmission dynamics and optimal control strategies for 2009 A/H1N1 influenza in the republic of Korea
- On the regional control of a reaction-diffusion system SIR
- A Mathematical Model of the Spread of Feline Leukemia Virus (FeLV) Through a Highly Heterogeneous Spatial Domain
- Numerical PDE-Constrained Optimization
- Mathematical Models in Population Biology and Epidemiology
- Optimal Control of a Nutrient-Phytoplankton-Zooplankton-Fish System
- Spatial Dynamics of a Nonlocal Periodic Reaction-Diffusion Model with Stage Structure
- Pontryagin's Principle for State-Constrained Boundary Control Problems of Semilinear Parabolic Equations
- The chemical basis of morphogenesis
- Identification of Space-Time Distributed Parameters in the Gierer--Meinhardt Reaction-Diffusion System
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