{"id":"https://openalex.org/W4407742605","doi":"https://doi.org/10.1142/s0218127425500270","title":"Stability and Bifurcation Analysis for Mathematical Model of Acute Inflammatory Response with Time Delay","display_name":"Stability and Bifurcation Analysis for Mathematical Model of Acute Inflammatory Response with Time Delay","publication_year":2025,"publication_date":"2025-02-19","ids":{"openalex":"https://openalex.org/W4407742605","doi":"https://doi.org/10.1142/s0218127425500270"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127425500270","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127425500270","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064787781","display_name":"Nuo Xu","orcid":"https://orcid.org/0009-0000-4450-0291"},"institutions":[{"id":"https://openalex.org/I38877650","display_name":"Zhengzhou University","ror":"https://ror.org/04ypx8c21","country_code":"CN","type":"education","lineage":["https://openalex.org/I38877650"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Nuo Xu","raw_affiliation_strings":["School of Mathematics and Statistics, Henan Academy of Big Data, Zhengzhou University, Zhengzhou, Henan 450001, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Henan Academy of Big Data, Zhengzhou University, Zhengzhou, Henan 450001, P. R. China","institution_ids":["https://openalex.org/I38877650"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103283436","display_name":"Hui Chang","orcid":"https://orcid.org/0000-0002-0494-1794"},"institutions":[{"id":"https://openalex.org/I4210162181","display_name":"Luoyang Orthopedic-Traumatological Hospital of Henan Province","ror":"https://ror.org/05br7cm44","country_code":"CN","type":"healthcare","lineage":["https://openalex.org/I4210162181"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hui Chang","raw_affiliation_strings":["Intensive Care Medicine Department, Luoyang Orthopedic-Traumatological Hospital of Henan Province (Henan Provincial Orthopedic Hospital), Zhengzhou, Henan 450016, P. R. China","Intensive Care Medicine Department, Luoyang Orthopedic-Traumatological Hospital of Henan Province, (Henan Provincial Orthopedic Hospital), Zhengzhou, Henan 450016, P. R. China"],"affiliations":[{"raw_affiliation_string":"Intensive Care Medicine Department, Luoyang Orthopedic-Traumatological Hospital of Henan Province (Henan Provincial Orthopedic Hospital), Zhengzhou, Henan 450016, P. R. China","institution_ids":["https://openalex.org/I4210162181"]},{"raw_affiliation_string":"Intensive Care Medicine Department, Luoyang Orthopedic-Traumatological Hospital of Henan Province, (Henan Provincial Orthopedic Hospital), Zhengzhou, Henan 450016, P. R. China","institution_ids":["https://openalex.org/I4210162181"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101568697","display_name":"Yueli Chen","orcid":"https://orcid.org/0000-0002-4025-6268"},"institutions":[{"id":"https://openalex.org/I38877650","display_name":"Zhengzhou University","ror":"https://ror.org/04ypx8c21","country_code":"CN","type":"education","lineage":["https://openalex.org/I38877650"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yueli Chen","raw_affiliation_strings":["School of Mathematics and Statistics, Henan Academy of Big Data, Zhengzhou University, Zhengzhou, Henan 450001, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Henan Academy of Big Data, Zhengzhou University, Zhengzhou, Henan 450001, P. R. China","institution_ids":["https://openalex.org/I38877650"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5064787781"],"corresponding_institution_ids":["https://openalex.org/I38877650"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04516198,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"35","issue":"03","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9675999879837036,"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"}},"topics":[{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9675999879837036,"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/stability","display_name":"Stability (learning theory)","score":0.626360297203064},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6200866103172302},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4922868311405182},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.48755425214767456},{"id":"https://openalex.org/keywords/saddle-node-bifurcation","display_name":"Saddle-node bifurcation","score":0.4568091928958893},{"id":"https://openalex.org/keywords/biological-applications-of-bifurcation-theory","display_name":"Biological applications of bifurcation theory","score":0.4547902047634125},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.41919466853141785},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3808794915676117},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3212432861328125},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.30910396575927734},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.21383455395698547},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09480181336402893},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.08651480078697205}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.626360297203064},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6200866103172302},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4922868311405182},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.48755425214767456},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.4568091928958893},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.4547902047634125},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.41919466853141785},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3808794915676117},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3212432861328125},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.30910396575927734},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.21383455395698547},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09480181336402893},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.08651480078697205},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127425500270","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127425500270","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8670116293","display_name":null,"funder_award_id":"22A520010","funder_id":"https://openalex.org/F4320335955","funder_display_name":"Key Scientific Research Project of Colleges and Universities in Henan Province"},{"id":"https://openalex.org/G890176229","display_name":null,"funder_award_id":"11702250","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335955","display_name":"Key Scientific Research Project of Colleges and Universities in Henan Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1603183020","https://openalex.org/W1735197745","https://openalex.org/W1963812140","https://openalex.org/W1987790493","https://openalex.org/W2034280388","https://openalex.org/W2039275997","https://openalex.org/W2092024753","https://openalex.org/W2096384870","https://openalex.org/W2104323710","https://openalex.org/W2109491705","https://openalex.org/W2117047223","https://openalex.org/W2130611069","https://openalex.org/W2134573759","https://openalex.org/W2140766917","https://openalex.org/W2141997480","https://openalex.org/W2142484817","https://openalex.org/W2153962607","https://openalex.org/W2156661166","https://openalex.org/W2165804863","https://openalex.org/W2238014017","https://openalex.org/W2280404143","https://openalex.org/W2292896034","https://openalex.org/W2617620062","https://openalex.org/W2751272277","https://openalex.org/W2795158010","https://openalex.org/W2994455367","https://openalex.org/W3007610320","https://openalex.org/W3040791765","https://openalex.org/W3160574451","https://openalex.org/W3210862581","https://openalex.org/W4214882016","https://openalex.org/W4214940089","https://openalex.org/W4281783709"],"related_works":["https://openalex.org/W2543553286","https://openalex.org/W2255858401","https://openalex.org/W2012700469","https://openalex.org/W2382323441","https://openalex.org/W189436430","https://openalex.org/W2393929457","https://openalex.org/W2071499571","https://openalex.org/W2353805507","https://openalex.org/W1584629339","https://openalex.org/W2090584918"],"abstract_inverted_index":{"In":[0],"this":[1,161],"paper,":[2],"we":[3],"present":[4],"an":[5],"improved":[6],"simplified":[7],"mathematical":[8],"model":[9,138],"for":[10,21,26,181],"the":[11,38,49,55,62,66,70,81,89,103,112,142,151,169,182],"acute":[12,174],"inflammatory":[13,175,186],"response":[14,28],"by":[15,36,101,156],"incorporating":[16],"two":[17,63,82],"time":[18,97,121],"delays:":[19],"one":[20],"phagocyte":[22],"migration":[23],"and":[24,40,77,130],"another":[25],"immune":[27],"activation.":[29],"The":[30,148],"model\u2019s":[31],"dynamic":[32],"behavior":[33],"is":[34,99,109,118,154],"analyzed":[35],"studying":[37],"existence":[39],"local":[41],"stability":[42],"of":[43,51,80,92,105,114,126,137,150,168,173,185],"equilibrium":[44,57,71],"points,":[45],"as":[46,48],"well":[47],"emergence":[50],"Hopf":[52,86,93],"bifurcation":[53,94,128],"at":[54,95],"positive":[56],"point.":[58],"Results":[59],"show":[60],"that":[61,111,134],"delays":[64,98],"have":[65],"potential":[67],"to":[68,120],"destabilize":[69],"point":[72],"associated":[73],"with":[74],"septic":[75],"death":[76],"induce":[78],"oscillation":[79],"state":[83],"variables":[84],"through":[85],"bifurcation.":[87],"Additionally,":[88],"normal":[90],"form":[91],"specific":[96],"obtained":[100],"using":[102,157],"method":[104],"multiple":[106],"scales.":[107],"It":[108],"discovered":[110],"amplitude":[113],"bifurcating":[115],"periodic":[116],"solution":[117],"sensitive":[119],"delays.":[122],"Ultimately,":[123],"numerical":[124,158],"simulations":[125],"various":[127],"diagrams":[129],"attraction":[131],"basins":[132],"suggest":[133],"proper":[135],"selection":[136],"parameters":[139],"can":[140],"steer":[141],"disease":[143],"toward":[144],"a":[145],"healthy":[146],"state.":[147],"correctness":[149],"theoretical":[152],"analysis":[153],"confirmed":[155],"solutions.":[159],"Overall,":[160],"study":[162],"not":[163],"only":[164],"enhances":[165],"our":[166],"understanding":[167],"underlying":[170],"biological":[171],"mechanisms":[172],"response,":[176],"but":[177],"also":[178],"provides":[179],"guidance":[180],"clinical":[183],"treatment":[184],"response.":[187]},"counts_by_year":[],"updated_date":"2025-12-28T23:10:05.387466","created_date":"2025-10-10T00:00:00"}
