{"id":"https://openalex.org/W2522542439","doi":"https://doi.org/10.1145/2975167.2975190","title":"Stability Analysis of Population Dynamics Model in Microbial Biofilms with Non-participating Strains","display_name":"Stability Analysis of Population Dynamics Model in Microbial Biofilms with Non-participating Strains","publication_year":2016,"publication_date":"2016-10-02","ids":{"openalex":"https://openalex.org/W2522542439","doi":"https://doi.org/10.1145/2975167.2975190","mag":"2522542439"},"language":"en","primary_location":{"id":"doi:10.1145/2975167.2975190","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2975167.2975190","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 7th ACM International Conference on Bioinformatics, Computational Biology, and Health Informatics","raw_type":"proceedings-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/A5110941391","display_name":"Jeet Banerjee","orcid":null},"institutions":[{"id":"https://openalex.org/I145894827","display_name":"Indian Institute of Technology Kharagpur","ror":"https://ror.org/03w5sq511","country_code":"IN","type":"education","lineage":["https://openalex.org/I145894827"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Jeet Banerjee","raw_affiliation_strings":["Systems Biology and Computer Vision Laboratory, Dept. of Electronics & Electrical Communication Engineering, Indian Institute of Technology Kharagpur, India"],"affiliations":[{"raw_affiliation_string":"Systems Biology and Computer Vision Laboratory, Dept. of Electronics & Electrical Communication Engineering, Indian Institute of Technology Kharagpur, India","institution_ids":["https://openalex.org/I145894827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043108006","display_name":"Tanvi Ranjan","orcid":"https://orcid.org/0000-0001-5750-6625"},"institutions":[{"id":"https://openalex.org/I145894827","display_name":"Indian Institute of Technology Kharagpur","ror":"https://ror.org/03w5sq511","country_code":"IN","type":"education","lineage":["https://openalex.org/I145894827"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Tanvi Ranjan","raw_affiliation_strings":["Systems Biology and Computer Vision Laboratory, Dept. of Electronics & Electrical Communication Engineering, Indian Institute of Technology Kharagpur, India"],"affiliations":[{"raw_affiliation_string":"Systems Biology and Computer Vision Laboratory, Dept. of Electronics & Electrical Communication Engineering, Indian Institute of Technology Kharagpur, India","institution_ids":["https://openalex.org/I145894827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010000375","display_name":"Ritwik Kumar Layek","orcid":"https://orcid.org/0000-0003-0044-2258"},"institutions":[{"id":"https://openalex.org/I145894827","display_name":"Indian Institute of Technology Kharagpur","ror":"https://ror.org/03w5sq511","country_code":"IN","type":"education","lineage":["https://openalex.org/I145894827"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Ritwik Kumar Layek","raw_affiliation_strings":["Systems Biology and Computer Vision Laboratory, Dept. of Electronics & Electrical Communication Engineering, Indian Institute of Technology Kharagpur, India"],"affiliations":[{"raw_affiliation_string":"Systems Biology and Computer Vision Laboratory, Dept. of Electronics & Electrical Communication Engineering, Indian Institute of Technology Kharagpur, India","institution_ids":["https://openalex.org/I145894827"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5110941391"],"corresponding_institution_ids":["https://openalex.org/I145894827"],"apc_list":null,"apc_paid":null,"fwci":1.9972,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.90806673,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"220","last_page":"230"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9682000279426575,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"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/replicator-equation","display_name":"Replicator equation","score":0.7288384437561035},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5827776789665222},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5681685209274292},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5167638659477234},{"id":"https://openalex.org/keywords/dominance","display_name":"Dominance (genetics)","score":0.501936674118042},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.47432205080986023},{"id":"https://openalex.org/keywords/biofilm","display_name":"Biofilm","score":0.45974332094192505},{"id":"https://openalex.org/keywords/evolutionary-dynamics","display_name":"Evolutionary dynamics","score":0.43260687589645386},{"id":"https://openalex.org/keywords/evolutionary-game-theory","display_name":"Evolutionary game theory","score":0.42174485325813293},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.35887622833251953},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.35523277521133423},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33460158109664917},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.3156364858150482},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.3117283880710602},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2836090922355652}],"concepts":[{"id":"https://openalex.org/C50318809","wikidata":"https://www.wikidata.org/wiki/Q2145081","display_name":"Replicator equation","level":3,"score":0.7288384437561035},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5827776789665222},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5681685209274292},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5167638659477234},{"id":"https://openalex.org/C151913843","wikidata":"https://www.wikidata.org/wiki/Q3454555","display_name":"Dominance (genetics)","level":3,"score":0.501936674118042},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.47432205080986023},{"id":"https://openalex.org/C58123911","wikidata":"https://www.wikidata.org/wiki/Q467410","display_name":"Biofilm","level":3,"score":0.45974332094192505},{"id":"https://openalex.org/C171578705","wikidata":"https://www.wikidata.org/wiki/Q5418700","display_name":"Evolutionary dynamics","level":3,"score":0.43260687589645386},{"id":"https://openalex.org/C20249471","wikidata":"https://www.wikidata.org/wiki/Q2298789","display_name":"Evolutionary game theory","level":3,"score":0.42174485325813293},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.35887622833251953},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.35523277521133423},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33460158109664917},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.3156364858150482},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.3117283880710602},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2836090922355652},{"id":"https://openalex.org/C523546767","wikidata":"https://www.wikidata.org/wiki/Q10876","display_name":"Bacteria","level":2,"score":0.0},{"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/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2975167.2975190","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2975167.2975190","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 7th ACM International Conference on Bioinformatics, Computational Biology, and Health Informatics","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.8299999833106995,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W71430541","https://openalex.org/W1507229922","https://openalex.org/W1515227419","https://openalex.org/W1872930921","https://openalex.org/W1980636818","https://openalex.org/W1983920923","https://openalex.org/W1992699035","https://openalex.org/W2004880157","https://openalex.org/W2025216709","https://openalex.org/W2029030701","https://openalex.org/W2032995242","https://openalex.org/W2037294630","https://openalex.org/W2040539560","https://openalex.org/W2043889275","https://openalex.org/W2049242968","https://openalex.org/W2057580939","https://openalex.org/W2073592660","https://openalex.org/W2080630785","https://openalex.org/W2084978938","https://openalex.org/W2092622303","https://openalex.org/W2096579989","https://openalex.org/W2099640515","https://openalex.org/W2107181601","https://openalex.org/W2113710853","https://openalex.org/W2120978086","https://openalex.org/W2125577217","https://openalex.org/W2148097728","https://openalex.org/W2150645921","https://openalex.org/W2154281017","https://openalex.org/W2160084302","https://openalex.org/W2162733558","https://openalex.org/W2165850276","https://openalex.org/W2167062553","https://openalex.org/W2171616025","https://openalex.org/W2255739630","https://openalex.org/W2295394605","https://openalex.org/W2296619910","https://openalex.org/W2320716657","https://openalex.org/W2339370246","https://openalex.org/W2397945787","https://openalex.org/W2405348253","https://openalex.org/W4251055834"],"related_works":["https://openalex.org/W2505734641","https://openalex.org/W1593767881","https://openalex.org/W2901407768","https://openalex.org/W4241847945","https://openalex.org/W2010431664","https://openalex.org/W2537714457","https://openalex.org/W2796884141","https://openalex.org/W2355046600","https://openalex.org/W2012857785","https://openalex.org/W2962873398"],"abstract_inverted_index":{"The":[0,284],"existence":[1],"of":[2,18,26,37,74,83,94,102,104,113,118,127,142,150,155,157,169,184,213,220,231,250,258,260,266,278,281],"phenotypic":[3,312],"heterogeneity":[4,315],"in":[5,11,21,48,58,71,152,166,188,223,299],"single-species":[6],"bacterial":[7],"biofilms":[8,22,60,224,300],"is":[9,88,173],"well-established":[10],"the":[12,16,24,35,54,72,84,92,100,107,114,119,136,139,145,153,164,167,178,189,210,218,236,248,255,263,267,272,276,279,296],"published":[13],"literature.":[14],"However,":[15],"modeling":[17],"population":[19,55,297],"dynamics":[20,56,86,269,298],"from":[23],"viewpoint":[25],"social":[27],"interactions,":[28],"i.e.":[29],"interplay":[30],"between":[31],"heterotypic":[32],"strains,":[33],"and":[34,69,78,97,191,199,215,313],"analysis":[36,82,112,280,287],"this":[38,49,202],"kind":[39],"using":[40],"control":[41,249,307],"theory":[42,77],"are":[43,207],"not":[44,288],"addressed":[45],"significantly.":[46],"Therefore,":[47,217],"paper,":[50],"we":[51,181],"theoretically":[52],"analyze":[53,295],"model":[57,87],"microbial":[59],"with":[61,65,99,225,254],"non-participating":[62],"strains":[63,227],"(coexisting":[64],"public":[66,238],"goods":[67,239],"producers":[68,240],"non-producers)":[70],"context":[73,154],"evolutionary":[75],"game":[76],"nonlinear":[79],"dynamics.":[80],"Our":[81],"replicator":[85,121],"twofold:":[89],"first":[90,108],"without":[91],"inclusion":[93,219],"spatial":[95,158,221,314],"pattern,":[96],"second":[98,179],"consideration":[101],"degree":[103,259],"assortment.":[105],"In":[106,177,201],"case,":[109,180],"Lyapunov":[110],"stability":[111,187,286],"stable":[115,133,148],"equilibrium":[116,134,282],"point":[117],"proposed":[120,268,285],"system":[122],"determines":[123],"(1,0)":[124,151],"('full":[125],"dominance":[126,212,230],"cooperators')":[128],"as":[129],"a":[130,291,304],"global":[131,146,185],"asymptotic":[132,147,186],"whenever":[135],"return":[137],"exceeds":[138],"metabolic":[140],"cost":[141],"cooperation.":[143],"Hence,":[144],"nature":[149],"non-consideration":[156],"pattern":[159,222],"helps":[160],"to":[161,235,294,306],"justify":[162],"mathematically":[163],"adversity":[165],"eradication":[168],"\"cooperative":[170],"enterprise\"":[171],"that":[172],"an":[174,244,251,308],"infectious":[175,252,309],"biofilm.":[176],"found":[182],"non-existence":[183],"system,":[190],"it":[192],"unveils":[193],"two":[194,204],"additional":[195],"phenomena":[196],"-":[197],"bistability":[198],"coexistence.":[200,216],"context,":[203],"inequality":[205],"conditions":[206],"derived":[208],"for":[209,270],"'full":[211],"cooperators'":[214],"non-competing":[226],"intends":[228],"conditional":[229],"pathogenic":[232],"(with":[233],"respect":[234],"hosts)":[237],"which":[241],"can":[242],"be":[243],"effective":[245],"strategy":[246],"towards":[247],"biofilm":[253],"drug-dependent":[256],"regulation":[257],"segregation.":[261],"Furthermore,":[262],"simulation":[264],"results":[265,277],"both":[271],"discussed":[273],"scenario":[274],"confirm":[275],"points.":[283],"only":[289],"demonstrate":[290],"mathematical":[292],"framework":[293],"but":[301],"also":[302],"gives":[303],"clue":[305],"biofilm,":[310],"where":[311],"exist.":[316]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}