{"id":"https://openalex.org/W3086768231","doi":"https://doi.org/10.1142/s1793962320500658","title":"Modeling and numerical simulations for a prey\u2013predator model with interference among predators","display_name":"Modeling and numerical simulations for a prey\u2013predator model with interference among predators","publication_year":2020,"publication_date":"2020-09-10","ids":{"openalex":"https://openalex.org/W3086768231","doi":"https://doi.org/10.1142/s1793962320500658","mag":"3086768231"},"language":"en","primary_location":{"id":"doi:10.1142/s1793962320500658","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793962320500658","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"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 Modeling, Simulation, and Scientific Computing","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/A5079952450","display_name":"Maruthai Selvaraj Surendar","orcid":null},"institutions":[{"id":"https://openalex.org/I141431873","display_name":"Periyar University","ror":"https://ror.org/05crs8s98","country_code":"IN","type":"education","lineage":["https://openalex.org/I141431873"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"M. S. Surendar","raw_affiliation_strings":["Department of Mathematics, Periyar University, Salem 636011, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Periyar University, Salem 636011, India","institution_ids":["https://openalex.org/I141431873"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023150979","display_name":"M. Sambath","orcid":null},"institutions":[{"id":"https://openalex.org/I141431873","display_name":"Periyar University","ror":"https://ror.org/05crs8s98","country_code":"IN","type":"education","lineage":["https://openalex.org/I141431873"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"M. Sambath","raw_affiliation_strings":["Department of Mathematics, Periyar University, Salem 636011, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Periyar University, Salem 636011, India","institution_ids":["https://openalex.org/I141431873"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5023150979"],"corresponding_institution_ids":["https://openalex.org/I141431873"],"apc_list":null,"apc_paid":null,"fwci":0.1798,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.60416117,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"12","issue":"01","first_page":"2050065","last_page":"2050065"},"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":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9854999780654907,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/center-manifold","display_name":"Center manifold","score":0.8675061464309692},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.7310506701469421},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6077770590782166},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.5823836326599121},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5352571606636047},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5238380432128906},{"id":"https://openalex.org/keywords/predation","display_name":"Predation","score":0.500145673751831},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.457746684551239},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44973671436309814},{"id":"https://openalex.org/keywords/pitchfork-bifurcation","display_name":"Pitchfork bifurcation","score":0.43692561984062195},{"id":"https://openalex.org/keywords/saddle-node-bifurcation","display_name":"Saddle-node bifurcation","score":0.4296020567417145},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2767210602760315},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.1833256185054779},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1524609625339508},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12917843461036682},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.08941295742988586},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.05904877185821533}],"concepts":[{"id":"https://openalex.org/C74774103","wikidata":"https://www.wikidata.org/wiki/Q4504202","display_name":"Center manifold","level":5,"score":0.8675061464309692},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.7310506701469421},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6077770590782166},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.5823836326599121},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5352571606636047},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5238380432128906},{"id":"https://openalex.org/C188382862","wikidata":"https://www.wikidata.org/wiki/Q170430","display_name":"Predation","level":2,"score":0.500145673751831},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.457746684551239},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44973671436309814},{"id":"https://openalex.org/C155092403","wikidata":"https://www.wikidata.org/wiki/Q1785924","display_name":"Pitchfork bifurcation","level":5,"score":0.43692561984062195},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.4296020567417145},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2767210602760315},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.1833256185054779},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1524609625339508},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12917843461036682},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.08941295742988586},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.05904877185821533},{"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/s1793962320500658","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793962320500658","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"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 Modeling, Simulation, and Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W997355000","https://openalex.org/W1531715726","https://openalex.org/W1827761481","https://openalex.org/W1900423377","https://openalex.org/W1965345518","https://openalex.org/W1965907564","https://openalex.org/W1980661496","https://openalex.org/W1983173496","https://openalex.org/W1983214715","https://openalex.org/W1988370584","https://openalex.org/W1995998068","https://openalex.org/W1997297480","https://openalex.org/W2012676813","https://openalex.org/W2017335847","https://openalex.org/W2029879748","https://openalex.org/W2033489353","https://openalex.org/W2034863443","https://openalex.org/W2038105662","https://openalex.org/W2053170770","https://openalex.org/W2059121447","https://openalex.org/W2061879675","https://openalex.org/W2090347294","https://openalex.org/W2095204642","https://openalex.org/W2120108060","https://openalex.org/W2125897475","https://openalex.org/W2195992720","https://openalex.org/W2263763322","https://openalex.org/W2317439655","https://openalex.org/W2323873405","https://openalex.org/W2325470240","https://openalex.org/W2335567028","https://openalex.org/W2437127566","https://openalex.org/W2569102526","https://openalex.org/W2769228421","https://openalex.org/W2900723220"],"related_works":["https://openalex.org/W2363522146","https://openalex.org/W2019027784","https://openalex.org/W2393929457","https://openalex.org/W2078078632","https://openalex.org/W2393612219","https://openalex.org/W2064215520","https://openalex.org/W2713021514","https://openalex.org/W2352502327","https://openalex.org/W2737309493","https://openalex.org/W2884051366"],"abstract_inverted_index":{"In":[0,60],"this":[1],"paper,":[2],"we":[3,62],"modeled":[4],"a":[5],"prey\u2013predator":[6],"system":[7,31,74],"with":[8,75],"interference":[9],"among":[10],"predators":[11],"using":[12],"the":[13,26,30,33,40,50,64,71,81,100,105,115],"Crowley\u2013Martin":[14],"functional":[15],"response.":[16],"The":[17,89],"local":[18],"stability":[19,41,90],"and":[20,80,91,104],"existence":[21],"of":[22,29,35,42,70,93],"Hopf":[23,68,94],"bifurcation":[24,69,95],"at":[25],"coexistence":[27],"equilibrium":[28,55],"in":[32],"absence":[34],"diffusion":[36,65,73],"are":[37,87,96,111],"analyzed.":[38],"Further,":[39],"bifurcating":[43],"periodic":[44],"solutions":[45],"is":[46,56],"investigated.":[47],"We":[48],"derived":[49],"conditions":[51,79],"for":[52],"which":[53],"nontrivial":[54],"globally":[57],"asymptotically":[58],"stable.":[59],"addition,":[61],"study":[63],"driven":[66],"instability,":[67],"corresponding":[72],"zero":[76],"flux":[77],"boundary":[78],"Turing":[82],"instability":[83],"region":[84],"regarding":[85],"parameters":[86],"established.":[88],"direction":[92],"determined":[97],"by":[98],"applying":[99],"normal":[101],"form":[102],"theory":[103],"center":[106],"manifold":[107],"theorem.":[108],"Numerical":[109],"simulations":[110],"performed":[112],"to":[113],"illustrate":[114],"theoretical":[116],"results.":[117]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}
