## Preprint 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.

This preprint gave rise to the following definitive publication(s):

**Aníbal CORONEL, Fernando HUANCAS, Mauricio SEPúLVEDA: ***A note on the existence and stability of an inverse problem for a SIS model*. Computers & Mathematics with Applications, vol. 77, 12, pp. 3184-3196, (2019).