Mathematical indices for the influence of risk factors on the lethality of a disease Martínez Rico, Ricardo Sánchez Soriano, Joaquín Epidemiology Comorbidity Lethality Equal attribution index Shapley value index COVID-19 We thank the Editor and two anonymous Reviewers for their time to review our paper and also for their incisive comments. These comments have been very helpful to improve our work. Ricardo Martinez acknowledges the R&D&I project grants ECO2017-86245-P and PID2020-114309GB-I00 funded by MCIN/AEI/10.13039/501100011033 and by "ERDF A way of making Europe"/EU, and he also acknowledges financial support from Junta de Andalucia under projects P18-FR-2933, FEDER UGR A-SEJ-14-UGR20, and Grupos PAIDI SEJ660. Joaquin Sanchez-Soriano acknowledges the R&D&I project grant PGC2018-097965-B-I00 funded by MCIN/AEI/10.13039/501100011033 and by "ERDF A way of making Europe"/EU, and he also acknowledges financial support from the Generalitat Valenciana under project PROMETEO/2021/063. We develop a theoretical model to measure the relative relevance of different pathologies of the lethality of a disease in society. This approach allows a ranking of diseases to be determined, which can assist in establishing priorities for vaccination campaigns or prevention strategies. Among all possible measurements, we identify three families of rules that satisfy a combination of relevant properties: neutrality, irrelevance, and one of three composition concepts. One of these families includes, for instance, the Shapley value of the associated cooperative game. The other two families also include simple and intuitive indices. As an illustration, we measure the relative relevance of several pathologies in lethality due to COVID-19. 2022-01-10T11:13:18Z 2022-01-10T11:13:18Z 2021-12-08 info:eu-repo/semantics/article Martínez, R., Sánchez-Soriano, J. Mathematical indices for the influence of risk factors on the lethality of a disease. J. Math. Biol. 83, 74 (2021). [https://doi.org/10.1007/s00285-021-01700-4] http://hdl.handle.net/10481/72272 10.1007/s00285-021-01700-4 eng http://creativecommons.org/licenses/by/3.0/es/ info:eu-repo/semantics/openAccess Atribución 3.0 España Springer