Aníbal Coronel, Fernando Huancas, Mauricio Sepúlveda:
A note on the existence and stability of an inverse problem for a SIS model
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.