{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T06:20:20Z","timestamp":1743056420869,"version":"3.40.3"},"publisher-location":"Cham","reference-count":26,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783031271809"},{"type":"electronic","value":"9783031271816"}],"license":[{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2023]]},"DOI":"10.1007\/978-3-031-27181-6_30","type":"book-chapter","created":{"date-parts":[[2023,3,10]],"date-time":"2023-03-10T04:34:21Z","timestamp":1678422861000},"page":"427-440","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Verifying a\u00a0Stochastic Model for\u00a0the\u00a0Spread of\u00a0a\u00a0SARS-CoV-2-Like Infection: Opportunities and\u00a0Limitations"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9483-3940","authenticated-orcid":false,"given":"Marco","family":"Roveri","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Franc","family":"Ivankovic","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8813-8685","authenticated-orcid":false,"given":"Luigi","family":"Palopoli","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5486-9989","authenticated-orcid":false,"given":"Daniele","family":"Fontanelli","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,3,11]]},"reference":[{"key":"30_CR1","series-title":"Lecture Notes in Mathematics","volume-title":"Mathematical Epidemiology","author":"L Allen","year":"2008","unstructured":"Allen, L., et al.: Mathematical Epidemiology. Lecture Notes in Mathematics, Springer, Berlin (2008)"},{"key":"30_CR2","volume-title":"Infectious Diseases of Humans: Dynamics and Control","author":"R Anderson","year":"1992","unstructured":"Anderson, R., May, R.: Infectious Diseases of Humans: Dynamics and Control. OUP, Oxford (1992)"},{"key":"30_CR3","unstructured":"Bernoulli, D.: Essai d\u2019une nouvelle analyse de la mortalite causee par la petite verole, et des avantage de l\u2019inoculation pour la prevenir. Mem. phys. Acade. Roy. Sci. 1(6), 1-45 (1760)"},{"key":"30_CR4","doi-asserted-by":"publisher","first-page":"18","DOI":"10.1016\/j.automatica.2015.10.046","volume":"64","author":"F Blanchini","year":"2016","unstructured":"Blanchini, F., Franco, E., Giordano, G., Mardanlou, V., Montessoro, P.L.: Compartmental flow control: decentralization, robustness and optimality. Automatica 64, 18\u201328 (2016)","journal-title":"Automatica"},{"key":"30_CR5","series-title":"Texts in Applied Mathematics","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4939-9828-9","volume-title":"Mathematical Models in Epidemiology","author":"F Brauer","year":"2019","unstructured":"Brauer, F., Castillo-Chavez, C., Feng, Z.: Mathematical Models in Epidemiology. Texts in Applied Mathematics, Springer, New York (2019)"},{"key":"30_CR6","volume-title":"Introduction to Discrete Event Systems","author":"CG Cassandras","year":"2009","unstructured":"Cassandras, C.G., Lafortune, S.: Introduction to Discrete Event Systems. Springer Science & Business Media, Berlin (2009)"},{"key":"30_CR7","unstructured":"Chauhan, K.: Epidemic analysis using traditional model checking and stochastic simulation. Master\u2019s thesis, Indian Institute of Technology Hyderabad (2015)"},{"key":"30_CR8","doi-asserted-by":"publisher","first-page":"2741","DOI":"10.1039\/c1mb05060e","volume":"7","author":"MP Dobay","year":"2011","unstructured":"Dobay, M.P., Dobay, A., Bantang, J., Mendoza, E.: How many trimers? modeling influenza virus fusion yields a minimum aggregate size of six trimers, three of which are fusogenic. Mol. BioSyst. 7, 2741\u20132749 (2011)","journal-title":"Mol. BioSyst."},{"key":"30_CR9","doi-asserted-by":"publisher","first-page":"591","DOI":"10.2307\/2528598","volume":"27","author":"J Gani","year":"1971","unstructured":"Gani, J., Jerwood, D.: Markov chain methods in chain binomial epidemic models. Biometrics 27, 591\u2013603 (1971)","journal-title":"Biometrics"},{"issue":"2","key":"30_CR10","doi-asserted-by":"publisher","first-page":"181","DOI":"10.1016\/S0005-1098(96)00163-X","volume":"33","author":"LL Ghezzi","year":"1997","unstructured":"Ghezzi, L.L., Piccardi, C.: PID control of a chaotic system: an application to an epidemiological model. Automatica 33(2), 181\u2013191 (1997)","journal-title":"Automatica"},{"issue":"6","key":"30_CR11","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1038\/s41591-020-0883-7","volume":"26","author":"G Giordano","year":"2020","unstructured":"Giordano, G., et al.: Modelling the COVID-19 epidemic and implementation of population-wide interventions in Italy. Nature Med. 26(6), 1\u20136 (2020)","journal-title":"Nature Med."},{"key":"30_CR12","doi-asserted-by":"publisher","unstructured":"Haksar, R.N., Schwager, M.: Controlling large, graph-based MDPS with global control capacity constraints: an approximate LP solution. In: 2018 IEEE Conference on Decision and Control (CDC), pp. 35\u201342 (2018). https:\/\/doi.org\/10.1109\/CDC.2018.8618745","DOI":"10.1109\/CDC.2018.8618745"},{"issue":"5","key":"30_CR13","doi-asserted-by":"publisher","first-page":"512","DOI":"10.1007\/BF01211866","volume":"6","author":"H Hansson","year":"1994","unstructured":"Hansson, H., Jonsson, B.: A logic for reasoning about time and reliability. Formal Aspects Comput. 6(5), 512\u2013535 (1994)","journal-title":"Formal Aspects Comput."},{"key":"30_CR14","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s10009-021-00633-z","volume":"24","author":"C Hensel","year":"2021","unstructured":"Hensel, C., Junges, S., Katoen, J.-P., Quatmann, T., Volk, M.: The probabilistic model checker Storm. Int. J. Softw. Tools Technol. Trans. 24, 1\u201322 (2021). https:\/\/doi.org\/10.1007\/s10009-021-00633-z","journal-title":"Int. J. Softw. Tools Technol. Trans."},{"key":"30_CR15","doi-asserted-by":"crossref","unstructured":"Kermack, W.O., McKendrick, A.G., Walker, G.T.: A contribution to the mathematical theory of epidemics. In: Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, vol. 115, no. 772, pp. 700\u2013721 (1927)","DOI":"10.1098\/rspa.1927.0118"},{"key":"30_CR16","doi-asserted-by":"publisher","first-page":"126","DOI":"10.1016\/j.automatica.2016.07.037","volume":"74","author":"A Khanafer","year":"2016","unstructured":"Khanafer, A., Ba\u015far, T., Gharesifard, B.: Stability of epidemic models over directed graphs: a positive systems approach. Automatica 74, 126\u2013134 (2016)","journal-title":"Automatica"},{"key":"30_CR17","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"585","DOI":"10.1007\/978-3-642-22110-1_47","volume-title":"Computer Aided Verification","author":"M Kwiatkowska","year":"2011","unstructured":"Kwiatkowska, M., Norman, G., Parker, D.: PRISM 4.0: verification of probabilistic real-time systems. In: Gopalakrishnan, G., Qadeer, S. (eds.) CAV 2011. LNCS, vol. 6806, pp. 585\u2013591. Springer, Heidelberg (2011). https:\/\/doi.org\/10.1007\/978-3-642-22110-1_47"},{"issue":"10","key":"30_CR18","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s42452-020-03499-z","volume":"2","author":"A Nasir","year":"2020","unstructured":"Nasir, A., Baig, H.R., Rafiq, M.: Epidemics control model with consideration of seven-segment population model. SN Appl. Sci. 2(10), 1\u20139 (2020). https:\/\/doi.org\/10.1007\/s42452-020-03499-z","journal-title":"SN Appl. Sci."},{"key":"30_CR19","doi-asserted-by":"crossref","unstructured":"Palopoli, L., Fontanelli, D., Frego, M., Roveri, M.: A Markovian model for the spread of the SARS-CoV-2 virus. CoRR abs\/2204.11317 (2022)","DOI":"10.1016\/j.automatica.2023.110921"},{"issue":"12","key":"30_CR20","first-page":"1","volume":"10","author":"M Razzaq","year":"2016","unstructured":"Razzaq, M., Ahmad, J.: Petri net and probabilistic model checking based approach for the modelling, simulation and verification of internet worm propagation. PLOS ONE 10(12), 1\u201322 (2016)","journal-title":"PLOS ONE"},{"key":"30_CR21","doi-asserted-by":"crossref","unstructured":"Riccardo, F., Ajelli, M., Andrianou, X.D., et al.: Epidemiological characteristics of COVID-19 cases and estimates of the reproductive numbers 1 month into the epidemic, Italy, 28 January to 31 March 2020. Eurosurveillance 25(49) (2020)","DOI":"10.2807\/1560-7917.ES.2020.25.49.2000790"},{"key":"30_CR22","doi-asserted-by":"publisher","unstructured":"Roveri, M., Ivankovic, F., Palopoli, L., Fontanelli, D.: Verifying a stochastic model for the spread of a sars-cov-2-like infection: opportunities and limitations (2022). https:\/\/doi.org\/10.48550\/ARXIV.2211.00605, https:\/\/arxiv.org\/abs\/2211.00605","DOI":"10.48550\/ARXIV.2211.00605"},{"issue":"S11","key":"30_CR23","doi-asserted-by":"publisher","first-page":"245","DOI":"10.1002\/ajpa.1330330511","volume":"33","author":"L Sattenspiel","year":"1990","unstructured":"Sattenspiel, L.: Modeling the spread of infectious disease in human populations. Am. J. Phys. Anthropol. 33(S11), 245\u2013276 (1990)","journal-title":"Am. J. Phys. Anthropol."},{"issue":"1","key":"30_CR24","doi-asserted-by":"publisher","first-page":"76","DOI":"10.1016\/j.mbs.2006.09.018","volume":"208","author":"HC Tuckwell","year":"2007","unstructured":"Tuckwell, H.C., Williams, R.J.: Some properties of a simple stochastic epidemic model of sir type. Math. Biosci. 208(1), 76\u201397 (2007)","journal-title":"Math. Biosci."},{"key":"30_CR25","doi-asserted-by":"publisher","first-page":"109883","DOI":"10.1016\/j.chaos.2020.109883","volume":"136","author":"A Yousefpour","year":"2020","unstructured":"Yousefpour, A., Jahanshahi, H., Bekiros, S.: Optimal policies for control of the novel coronavirus disease (COVID-19) outbreak. Chaos Solitons Fractals 136, 109883 (2020)","journal-title":"Chaos Solitons Fractals"},{"key":"30_CR26","doi-asserted-by":"publisher","first-page":"100530","DOI":"10.1016\/j.epidem.2021.100530","volume":"37","author":"A Zardini","year":"2021","unstructured":"Zardini, A., et al.: A quantitative assessment of epidemiological parameters required to investigate COVID-19 burden. Epidemics 37, 100530 (2021)","journal-title":"Epidemics"}],"container-title":["Lecture Notes in Computer Science","AIxIA 2022 \u2013 Advances in Artificial Intelligence"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-27181-6_30","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,10]],"date-time":"2023-03-10T04:38:41Z","timestamp":1678423121000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-27181-6_30"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023]]},"ISBN":["9783031271809","9783031271816"],"references-count":26,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-27181-6_30","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2023]]},"assertion":[{"value":"11 March 2023","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"AIxIA","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference of the Italian Association for Artificial Intelligence","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Udine","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Italy","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2022","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"28 November 2022","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2 December 2022","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"21","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"aiia2022","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/aixia2022.uniud.it\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Single-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Easy Chair","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"54","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"33","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"0","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"61% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Yes","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"This proceeding includes one invited paper.","order":10,"name":"additional_info_on_review_process","label":"Additional Info on Review Process","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}}]}}