{"id":"https://openalex.org/W1608461260","doi":"https://doi.org/10.1007/978-3-642-31576-3_19","title":"Stability of a Predator-Prey Model with Modified Holling-Type II Functional Response","display_name":"Stability of a Predator-Prey Model with Modified Holling-Type II Functional Response","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1608461260","doi":"https://doi.org/10.1007/978-3-642-31576-3_19","mag":"1608461260"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-31576-3_19","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-31576-3_19","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5100409670","display_name":"Jia Liu","orcid":"https://orcid.org/0000-0001-9786-0389"},"institutions":[{"id":"https://openalex.org/I4210153482","display_name":"Changzhou University","ror":"https://ror.org/04ymgwq66","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210153482"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jia Liu","raw_affiliation_strings":["School of Mathematics and Physics, Changzhou University, Changzhou, 213164, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics, Changzhou University, Changzhou, 213164, China","institution_ids":["https://openalex.org/I4210153482"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067635034","display_name":"Hua Zhou","orcid":"https://orcid.org/0000-0002-1706-6378"},"institutions":[{"id":"https://openalex.org/I4210153482","display_name":"Changzhou University","ror":"https://ror.org/04ymgwq66","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210153482"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hua Zhou","raw_affiliation_strings":["School of Mathematics and Physics, Changzhou University, Changzhou, 213164, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics, Changzhou University, Changzhou, 213164, China","institution_ids":["https://openalex.org/I4210153482"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066840655","display_name":"Raymond Kai\u2010Yu Tong","orcid":"https://orcid.org/0000-0003-4375-653X"},"institutions":[{"id":"https://openalex.org/I4210153482","display_name":"Changzhou University","ror":"https://ror.org/04ymgwq66","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210153482"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kai-yu Tong","raw_affiliation_strings":["School of Mathematics and Physics, Changzhou University, Changzhou, 213164, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics, Changzhou University, Changzhou, 213164, China","institution_ids":["https://openalex.org/I4210153482"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100409670"],"corresponding_institution_ids":["https://openalex.org/I4210153482"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.3235,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.92984968,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"145","last_page":"150"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9965999722480774,"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9945999979972839,"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/functional-response","display_name":"Functional response","score":0.9047729969024658},{"id":"https://openalex.org/keywords/turing","display_name":"Turing","score":0.6820170283317566},{"id":"https://openalex.org/keywords/neumann-boundary-condition","display_name":"Neumann boundary condition","score":0.6142053008079529},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6030664443969727},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.5428798198699951},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5414621233940125},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.536855936050415},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5307319760322571},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.4856511354446411},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.45347410440444946},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4532219171524048},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4211725890636444},{"id":"https://openalex.org/keywords/predation","display_name":"Predation","score":0.4192083477973938},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3916497230529785},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3367801606655121},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33426952362060547},{"id":"https://openalex.org/keywords/predator","display_name":"Predator","score":0.2694031298160553},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2279733419418335},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11643531918525696},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1156238317489624},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.09111002087593079},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.08223631978034973},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.071043461561203}],"concepts":[{"id":"https://openalex.org/C110201527","wikidata":"https://www.wikidata.org/wiki/Q5508845","display_name":"Functional response","level":4,"score":0.9047729969024658},{"id":"https://openalex.org/C9870796","wikidata":"https://www.wikidata.org/wiki/Q490481","display_name":"Turing","level":2,"score":0.6820170283317566},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.6142053008079529},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6030664443969727},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.5428798198699951},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5414621233940125},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.536855936050415},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5307319760322571},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.4856511354446411},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.45347410440444946},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4532219171524048},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4211725890636444},{"id":"https://openalex.org/C188382862","wikidata":"https://www.wikidata.org/wiki/Q170430","display_name":"Predation","level":2,"score":0.4192083477973938},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3916497230529785},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3367801606655121},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33426952362060547},{"id":"https://openalex.org/C96857902","wikidata":"https://www.wikidata.org/wiki/Q2138108","display_name":"Predator","level":3,"score":0.2694031298160553},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2279733419418335},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11643531918525696},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1156238317489624},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.09111002087593079},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.08223631978034973},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.071043461561203},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-31576-3_19","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-31576-3_19","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1560060148","https://openalex.org/W1827761481","https://openalex.org/W1975045473","https://openalex.org/W1993486687","https://openalex.org/W2016804185","https://openalex.org/W2046893875","https://openalex.org/W2074610367","https://openalex.org/W4230969717","https://openalex.org/W4291439952"],"related_works":["https://openalex.org/W2978795772","https://openalex.org/W4298063738","https://openalex.org/W2034561445","https://openalex.org/W2967165187","https://openalex.org/W4221070309","https://openalex.org/W2006090893","https://openalex.org/W2320356300","https://openalex.org/W2000865352","https://openalex.org/W2774510546","https://openalex.org/W2382294907"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}