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An inverse problem for a generalized Kermack—McKendrick model
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F. Colombo
Published/Copyright:
September 7, 2013
Abstract
- We consider an integrodifferential system arising in the theory of spread of infection. We formulate the inverse problem, consisting in determine the unknowns u (susceptible population), v (infective population) and the convolution kernel h, (representing the time depending transfer mechanism of infection) in an abstract setting, relating it to a Banach space X. We prove an abstract existence and uniqueness theorem for the abstract inverse problem and we apply it to the concrete case of the epidemic equations.
Published Online: 2013-09-07
Published in Print: 2002-06
© 2013 by Walter de Gruyter GmbH & Co.
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- CONTENTS
- On reconstruction of surfaces by shadow contours
- An inverse problem for a generalized Kermack—McKendrick model
- On an inverse filtration problem in the harmonic analysis of finite time records
- Convergence rates of the continuous regularized Gauss—Newton method
- Generalized Arcangeli’s discrepancy principles for a class of regularization methods for solving ill-posed problems
- A constraints relaxation technique for solving an identification of coefficients problem issued from hydrodynamic lubrication
Articles in the same Issue
- CONTENTS
- On reconstruction of surfaces by shadow contours
- An inverse problem for a generalized Kermack—McKendrick model
- On an inverse filtration problem in the harmonic analysis of finite time records
- Convergence rates of the continuous regularized Gauss—Newton method
- Generalized Arcangeli’s discrepancy principles for a class of regularization methods for solving ill-posed problems
- A constraints relaxation technique for solving an identification of coefficients problem issued from hydrodynamic lubrication
