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

Abstract In this note we discuss the existence and stability of an inverse problem arising from the determination of the reaction coefficients for an SIS model. The study is motivated by a remark regarding the final discussion of the recent paper by Xiang and Liu (2015). The weak assumption 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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