{"id":"https://openalex.org/W7204145732","doi":"https://doi.org/10.5281/zenodo.22080450","title":"Mathematical Modeling in Modern Epidemiology and Public Health","display_name":"Mathematical Modeling in Modern Epidemiology and Public Health","publication_year":2026,"publication_date":"2026-07-30","ids":{"openalex":"https://openalex.org/W7204145732","doi":"https://doi.org/10.5281/zenodo.22080450"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.22080450","doi":"https://doi.org/10.5281/zenodo.22080450","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22080450","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"BookChapter"},"volume":null,"type":"book-chapter","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.22080450","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043113719","display_name":"I. Paulraj Jayasimman","orcid":"https://orcid.org/0000-0002-1850-4464","observed_orcids":["https://orcid.org/0000-0002-1850-4464"]},"institutions":[{"id":"https://openalex.org/I34628043","display_name":"AMET University","ror":"https://ror.org/05dpv4c71","country_code":"IN","type":"education","lineage":["https://openalex.org/I34628043"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"I. Paulraj Jayasimman","raw_affiliation_strings":["Department of Mathematics, Academy of Maritime Education and Training, (Deemed to be University), ECR, Kanathur, Chennai \u2013 603 112, Tamil Nadu, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Academy of Maritime Education and Training, (Deemed to be University), ECR, Kanathur, Chennai \u2013 603 112, Tamil Nadu, India","institution_ids":["https://openalex.org/I34628043"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5128891332","display_name":"M. Ariyanatchi","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I34628043","display_name":"AMET University","ror":"https://ror.org/05dpv4c71","country_code":"IN","type":"education","lineage":["https://openalex.org/I34628043"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"M. Ariyanatchi","raw_affiliation_strings":["Department of Mathematics, Academy of Maritime Education and Training, (Deemed to be University), ECR, Kanathur, Chennai \u2013 603 112, Tamil Nadu, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Academy of Maritime Education and Training, (Deemed to be University), ECR, Kanathur, Chennai \u2013 603 112, Tamil Nadu, India","institution_ids":["https://openalex.org/I34628043"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I34628043"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10410","display_name":"COVID-19 epidemiological studies","score":0.006399999838322401,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11819","display_name":"Data-Driven Disease Surveillance","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2713","display_name":"Epidemiology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/epidemic-modeling","display_name":"epidemic modeling","score":0.8650000095367432},{"id":"https://openalex.org/keywords/compartmental-model","display_name":"compartmental model","score":0.7760000228881836},{"id":"https://openalex.org/keywords/time-varying-transmission-rate","display_name":"time-varying transmission rate","score":0.906000018119812},{"id":"https://openalex.org/keywords/bayesian-state-estimation","display_name":"Bayesian state estimation","score":0.8999999761581421},{"id":"https://openalex.org/keywords/optimal-control","display_name":"optimal control","score":0.9879999756813049},{"id":"https://openalex.org/keywords/intervention-optimization","display_name":"intervention optimization","score":0.7080000042915344},{"id":"https://openalex.org/keywords/outbreak-forecasting","display_name":"outbreak forecasting","score":0.8920000195503235},{"id":"https://openalex.org/keywords/spatial-heterogeneity","display_name":"spatial heterogeneity","score":0.9210000038146973},{"id":"https://openalex.org/keywords/parameter-estimation","display_name":"parameter estimation","score":0.7609999775886536},{"id":"https://openalex.org/keywords/public-health-policy","display_name":"public health policy","score":0.6890000104904175},{"id":"https://openalex.org/keywords/seir-model","display_name":"SEIR model","score":0.8399999737739563},{"id":"https://openalex.org/keywords/agent-based-modeling","display_name":"agent-based modeling","score":0.7720000147819519}],"concepts":[{"id":"https://openalex.org/C138816342","wikidata":"https://www.wikidata.org/wiki/Q189603","display_name":"Public health","level":2,"score":0.6225000023841858},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5918999910354614},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5062999725341797},{"id":"https://openalex.org/C539667460","wikidata":"https://www.wikidata.org/wiki/Q2414942","display_name":"Management science","level":1,"score":0.47369998693466187},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.4657000005245209},{"id":"https://openalex.org/C112930515","wikidata":"https://www.wikidata.org/wiki/Q4389547","display_name":"Risk analysis (engineering)","level":1,"score":0.45890000462532043},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.4214000105857849},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.41690000891685486},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.41449999809265137},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.4129999876022339},{"id":"https://openalex.org/C76969082","wikidata":"https://www.wikidata.org/wiki/Q486902","display_name":"Mathematical model","level":2,"score":0.40849998593330383},{"id":"https://openalex.org/C107130276","wikidata":"https://www.wikidata.org/wiki/Q133805","display_name":"Epidemiology","level":2,"score":0.3978999853134155},{"id":"https://openalex.org/C2780665704","wikidata":"https://www.wikidata.org/wiki/Q959298","display_name":"Intervention (counseling)","level":2,"score":0.38690000772476196},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.36880001425743103},{"id":"https://openalex.org/C2993267355","wikidata":"https://www.wikidata.org/wiki/Q1519812","display_name":"Public health policy","level":4,"score":0.3449999988079071},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.3391000032424927},{"id":"https://openalex.org/C109986646","wikidata":"https://www.wikidata.org/wiki/Q546113","display_name":"Public policy","level":2,"score":0.3386000096797943},{"id":"https://openalex.org/C2779134260","wikidata":"https://www.wikidata.org/wiki/Q12136","display_name":"Disease","level":2,"score":0.337799996137619},{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.3314000070095062},{"id":"https://openalex.org/C2992243407","wikidata":"https://www.wikidata.org/wiki/Q525512","display_name":"Disease transmission","level":2,"score":0.3125999867916107},{"id":"https://openalex.org/C120936955","wikidata":"https://www.wikidata.org/wiki/Q2155640","display_name":"Empirical research","level":2,"score":0.30970001220703125},{"id":"https://openalex.org/C186744025","wikidata":"https://www.wikidata.org/wiki/Q7574064","display_name":"Spatial epidemiology","level":3,"score":0.3077000081539154},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.29670000076293945},{"id":"https://openalex.org/C47344431","wikidata":"https://www.wikidata.org/wiki/Q1519812","display_name":"Health policy","level":3,"score":0.2847000062465668},{"id":"https://openalex.org/C2987315675","wikidata":"https://www.wikidata.org/wiki/Q1773974","display_name":"Disease control","level":2,"score":0.27959999442100525},{"id":"https://openalex.org/C162118730","wikidata":"https://www.wikidata.org/wiki/Q1128453","display_name":"Actuarial science","level":1,"score":0.27619999647140503},{"id":"https://openalex.org/C99454951","wikidata":"https://www.wikidata.org/wiki/Q932068","display_name":"Environmental health","level":1,"score":0.2727000117301941},{"id":"https://openalex.org/C160234255","wikidata":"https://www.wikidata.org/wiki/Q812535","display_name":"Bayesian inference","level":3,"score":0.272599995136261},{"id":"https://openalex.org/C77405623","wikidata":"https://www.wikidata.org/wiki/Q598451","display_name":"System dynamics","level":2,"score":0.27129998803138733},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.2669000029563904},{"id":"https://openalex.org/C2522767166","wikidata":"https://www.wikidata.org/wiki/Q2374463","display_name":"Data science","level":1,"score":0.26429998874664307},{"id":"https://openalex.org/C114289077","wikidata":"https://www.wikidata.org/wiki/Q3284399","display_name":"Statistical model","level":2,"score":0.26010000705718994},{"id":"https://openalex.org/C207201462","wikidata":"https://www.wikidata.org/wiki/Q182505","display_name":"Bayes' theorem","level":3,"score":0.25519999861717224},{"id":"https://openalex.org/C2776361769","wikidata":"https://www.wikidata.org/wiki/Q821775","display_name":"Public health surveillance","level":3,"score":0.2538999915122986},{"id":"https://openalex.org/C2994107952","wikidata":"https://www.wikidata.org/wiki/Q1814351","display_name":"Public health interventions","level":3,"score":0.2535000145435333}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.22080450","doi":"https://doi.org/10.5281/zenodo.22080450","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22080450","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"BookChapter"},{"id":"doi:10.5281/zenodo.22080451","doi":"https://doi.org/10.5281/zenodo.22080451","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22080451","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"BookChapter"}],"best_oa_location":{"id":"doi:10.5281/zenodo.22080450","doi":"https://doi.org/10.5281/zenodo.22080450","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22080450","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"BookChapter"},"sustainable_development_goals":[{"score":0.4043000042438507,"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4414408306","https://openalex.org/W7143452494","https://openalex.org/W6893205873","https://openalex.org/W7143341744","https://openalex.org/W7108079461","https://openalex.org/W7220115582","https://openalex.org/W7084747686","https://openalex.org/W6968324005","https://openalex.org/W7217521348","https://openalex.org/W7220317106"],"abstract_inverted_index":{"Mathematical":[0],"modeling":[1,46,122],"has":[2],"become":[3],"indispensable":[4],"for":[5,76,116],"understanding":[6],"disease":[7],"transmission":[8,68],"dynamics,":[9,33],"forecasting":[10],"outbreak":[11],"trajectories,":[12],"and":[13,31,57,60,73,82,100,108,119],"evaluating":[14],"public":[15],"health":[16],"interventions.":[17],"Traditional":[18],"compartmental":[19],"models":[20],"provide":[21],"intuitive":[22],"frameworks":[23],"but":[24],"often":[25],"assume":[26],"homogeneous":[27],"mixing,":[28],"fixed":[29],"parameters,":[30],"deterministic":[32],"limiting":[34],"their":[35],"applicability":[36],"to":[37,105],"complex,":[38],"heterogeneous":[39],"populations.":[40],"This":[41],"chapter":[42,112],"reviews":[43],"existing":[44],"epidemiological":[45],"paradigms,":[47],"identifies":[48],"critical":[49],"gaps":[50],"in":[51],"real-time":[52],"parameter":[53],"estimation,":[54,72],"spatial":[55],"heterogeneity,":[56],"intervention":[58,98],"optimization,":[59],"introduces":[61],"a":[62],"hybrid":[63],"compartmental-network":[64],"framework":[65],"with":[66,114],"time-varying":[67],"rates,":[69],"Bayesian":[70],"state":[71],"optimal":[74],"control":[75],"dynamic":[77],"policy":[78,102],"scheduling.":[79],"Using":[80],"simulated":[81],"empirical":[83],"surveillance":[84],"data,":[85],"we":[86],"demonstrate":[87],"how":[88],"the":[89],"proposed":[90],"method":[91],"improves":[92],"peak":[93],"prevalence":[94],"forecasting,":[95],"reduces":[96],"cumulative":[97],"costs,":[99],"enhances":[101],"robustness":[103],"compared":[104],"classical":[106],"SEIR":[107],"agent-based":[109],"baselines.":[110],"The":[111],"concludes":[113],"recommendations":[115],"transparent,":[117],"interoperable,":[118],"policy-ready":[120],"epidemic":[121],"architectures.":[123]},"counts_by_year":[],"updated_date":"2026-10-07T09:51:55.459714","created_date":"2026-08-25T00:00:00"}