On the existence and uniqueness of an inverse problem in epidemiology
From MaRDI portal
Publication:5148329
DOI10.1080/00036811.2019.1608964zbMath1456.49039arXiv1811.02892OpenAlexW2964159856MaRDI QIDQ5148329
María Zegarra, Aníbal Coronel, Ian Hess, Luis Friz
Publication date: 3 February 2021
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.02892
Epidemiology (92D30) Optimality conditions for problems involving partial differential equations (49K20) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Inverse problems in optimal control (49N45) Variational principles of physics (49S05)
Related Items
Age-structured Delayed SIPCV Epidemic Model of HPV and Cervical Cancer Cells Dynamics II. Convergence of Numerical Solution ⋮ Age-structured delayed SIPCV epidemic model of HPV and cervical cancer cells dynamics I. Numerical method ⋮ A numerical algorithm based on modified orthogonal linear spline for solving a coupled nonlinear inverse reaction-diffusion problem ⋮ A locally sequential refinement of the growth dynamics identification
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Heterogeneous population dynamics and scaling laws near epidemic outbreaks
- An optimal control problem for a pest, predator, and plant system
- A mathematical model of anthrax transmission in animal populations
- Inverse problem for the reaction diffusion system by optimization method
- Mathematical model for optimal use of sulfadoxine-pyrimethamine as a temporary malaria vaccine
- An inverse problem of identifying the coefficient in a nonlinear parabolic equation
- Epidemic as a natural process
- Mathematical analysis of the transmission dynamics of HIV syphilis co-infection in the presence of treatment for syphilis
- Numerical identification of parameters for a strongly degenerate convection-diffusion problem modelling centrifugation of flocculated suspensions
- Solving the inverse problem of an SIS epidemic reaction-diffusion model by optimal control methods
- Numerical approximations in optimal control of a class of heterogeneous systems
- Inverse problem for coefficient identification in SIR epidemic models
- A note on the existence and stability of an inverse problem for a SIS model
- Recent developments in parameter estimation and structure identification of biochemical and genomic systems
- A diffusive SIS epidemic model incorporating the media coverage impact in the heterogeneous environment
- An age-structured SIR epidemic model with fixed incubation period of infection
- Solving an inverse parabolic problem by optimization from final measurement data
- An SEI infection model incorporating media impact
- Optimal control applied on an HIV‐1 within‐host model
- A Short History of Mathematical Population Dynamics
- Numerical identification of parameters for a model of sedimentation processes
- An elementary proof of convergence to the mean-field equations for an epidemic model
- Probability analysis of a stochastic SIS epidemic model
