{"id":"https://openalex.org/W7203484448","doi":"https://doi.org/10.21203/rs.3.rs-10672645/v1","title":"Dynamics of a fractional reaction\u2013diffusion epidemic model","display_name":"Dynamics of a fractional reaction\u2013diffusion epidemic model","publication_year":2026,"publication_date":"2026-08-14","ids":{"openalex":"https://openalex.org/W7203484448","doi":"https://doi.org/10.21203/rs.3.rs-10672645/v1"},"language":"en","primary_location":{"id":"doi:10.21203/rs.3.rs-10672645/v1","doi":"https://doi.org/10.21203/rs.3.rs-10672645/v1","is_oa":true,"landing_page_url":"https://doi.org/10.21203/rs.3.rs-10672645/v1","pdf_url":"https://www.researchsquare.com/article/rs-10672645/latest.pdf","source":{"id":"https://openalex.org/S4306525896","display_name":"Research Square","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Research Square","raw_type":"posted-content"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.researchsquare.com/article/rs-10672645/latest.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5146949326","display_name":"Md Shah Alam","orcid":"https://orcid.org/0009-0004-3765-4953","observed_orcids":["https://orcid.org/0009-0004-3765-4953"]},"institutions":[{"id":"https://openalex.org/I62936310","display_name":"Huston\u2013Tillotson University","ror":"https://ror.org/0176jt031","country_code":"US","type":"education","lineage":["https://openalex.org/I62936310"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Md Shah Alam","raw_affiliation_strings":["Huston\u2013Tillotson University"],"raw_orcid":"https://orcid.org/0009-0004-3765-4953","affiliations":[{"raw_affiliation_string":"Huston\u2013Tillotson University","institution_ids":["https://openalex.org/I62936310"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5146949326"],"corresponding_institution_ids":["https://openalex.org/I62936310"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"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":0.9990000128746033,"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":0.9990000128746033,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.0006000000284984708,"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":9.999999747378752e-05,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/global-existence-and-uniqueness","display_name":"global existence and uniqueness","score":0.7770000100135803},{"id":"https://openalex.org/keywords/asymptotic-behavior","display_name":"asymptotic behavior","score":0.8500000238418579},{"id":"https://openalex.org/keywords/long-distance-dispersal","display_name":"long-distance dispersal","score":0.9259999990463257}],"concepts":[{"id":"https://openalex.org/C1627819","wikidata":"https://www.wikidata.org/wiki/Q2572354","display_name":"Epidemic model","level":3,"score":0.679099977016449},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.6065999865531921},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5853999853134155},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.5771999955177307},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5649999976158142},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.5493000149726868},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5460000038146973},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4560999870300293},{"id":"https://openalex.org/C2777910003","wikidata":"https://www.wikidata.org/wiki/Q1707292","display_name":"Asymptomatic","level":2,"score":0.40709999203681946},{"id":"https://openalex.org/C52079815","wikidata":"https://www.wikidata.org/wiki/Q7229808","display_name":"Population model","level":3,"score":0.38960000872612},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.36649999022483826},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.34850001335144043},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.3434999883174896},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.31700000166893005},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2985999882221222},{"id":"https://openalex.org/C68710425","wikidata":"https://www.wikidata.org/wiki/Q5275442","display_name":"Diffusion process","level":3,"score":0.2881999909877777},{"id":"https://openalex.org/C77405623","wikidata":"https://www.wikidata.org/wiki/Q598451","display_name":"System dynamics","level":2,"score":0.27070000767707825},{"id":"https://openalex.org/C3017746186","wikidata":"https://www.wikidata.org/wiki/Q44512","display_name":"Epidemic disease","level":2,"score":0.26739999651908875},{"id":"https://openalex.org/C119047807","wikidata":"https://www.wikidata.org/wiki/Q752718","display_name":"Asymptotic analysis","level":2,"score":0.2651999890804291},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25870001316070557},{"id":"https://openalex.org/C202294334","wikidata":"https://www.wikidata.org/wiki/Q943800","display_name":"Leslie matrix","level":3,"score":0.25859999656677246},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.25600001215934753},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.2551000118255615},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25060001015663147}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.21203/rs.3.rs-10672645/v1","doi":"https://doi.org/10.21203/rs.3.rs-10672645/v1","is_oa":true,"landing_page_url":"https://doi.org/10.21203/rs.3.rs-10672645/v1","pdf_url":"https://www.researchsquare.com/article/rs-10672645/latest.pdf","source":{"id":"https://openalex.org/S4306525896","display_name":"Research Square","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Research Square","raw_type":"posted-content"}],"best_oa_location":{"id":"doi:10.21203/rs.3.rs-10672645/v1","doi":"https://doi.org/10.21203/rs.3.rs-10672645/v1","is_oa":true,"landing_page_url":"https://doi.org/10.21203/rs.3.rs-10672645/v1","pdf_url":"https://www.researchsquare.com/article/rs-10672645/latest.pdf","source":{"id":"https://openalex.org/S4306525896","display_name":"Research Square","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Research Square","raw_type":"posted-content"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7203484448.pdf","grobid_xml":"https://content.openalex.org/works/W7203484448.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7202297998","https://openalex.org/W7202339793","https://openalex.org/W7125263605","https://openalex.org/W7116769574","https://openalex.org/W7213596065","https://openalex.org/W7204533283","https://openalex.org/W4225579892","https://openalex.org/W4407192192","https://openalex.org/W4403956846","https://openalex.org/W4389398799"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"investigate":[2],"the":[3,29,55,70,78,87,90],"global":[4,56],"dynamics":[5],"of":[6,32,65,89],"a":[7],"spatiotemporal":[8],"epidemic":[9],"model":[10,27,79],"with":[11,48],"regional":[12],"fractional":[13,91],"diffusion,":[14],"nonlocal":[15,94],"asymptomatic":[16,95],"transmission,":[17,96],"crowding-dependent":[18],"disease":[19],"incidence,":[20],"and":[21,40,62,73,99],"periodic":[22],"intermittent":[23,97],"treatment.":[24],"The":[25],"proposed":[26],"captures":[28],"combined":[30],"effects":[31,88],"long-range":[33],"dispersal,":[34],"hidden":[35],"infection":[36],"pathways,":[37],"population":[38,100],"crowding,":[39],"time-dependent":[41],"intervention":[42],"strategies.":[43],"By":[44],"combining":[45],"semigroup":[46],"theory":[47],"robust":[49],"L":[50],"p":[51],"estimates,":[52],"we":[53],"establish":[54],"existence,":[57],"uniqueness,":[58],"positivity,":[59],"uniform":[60],"boundedness,":[61],"asymptotic":[63],"behavior":[64],"classical":[66],"solutions.":[67],"To":[68],"complement":[69],"theoretical":[71],"analysis":[72],"provide":[74],"further":[75],"insight":[76],"into":[77],"dynamics,":[80],"numerical":[81],"simulations":[82],"are":[83],"performed":[84],"to":[85],"illustrate":[86],"diffusion":[92],"order,":[93],"treatment,":[98],"crowding.":[101]},"counts_by_year":[],"updated_date":"2026-11-09T13:22:03.289127","created_date":"2026-08-15T00:00:00"}