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Pre-Publicación 2018-46

Aníbal Coronel, Fernando Huancas, Mauricio Sepúlveda:

A note on the existence and stability of an inverse problem for a SIS model

Abstract:

In this work, we discuss the existence and stability of an inverse problem arising from the determination of the reaction coefficients for a SIS model. The study is motivated by a remark regarding the final discussion of therecent paper [H. Xiang and B. Liu, Computers and Mathematical with Applications, 70:805--819, 2015]. The weak point of the work of H. Xiang and B. Liu is that the proofs of existence and stability results are valid only for the one-dimensional case. Here, we introduce an appropriate framework which is also valid in the multidimensional case and that generalizes the previous results.

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