{"id":"https://openalex.org/W7225833133","doi":"https://doi.org/10.1038/s41598-026-79870-8","title":"Modelling and analysis of modified Leslie-Gower predator-prey with prey counter attacking","display_name":"Modelling and analysis of modified Leslie-Gower predator-prey with prey counter attacking","publication_year":2026,"publication_date":"2026-11-11","ids":{"openalex":"https://openalex.org/W7225833133","doi":"https://doi.org/10.1038/s41598-026-79870-8"},"language":"en","primary_location":{"id":"doi:10.1038/s41598-026-79870-8","doi":"https://doi.org/10.1038/s41598-026-79870-8","is_oa":true,"landing_page_url":"https://doi.org/10.1038/s41598-026-79870-8","pdf_url":null,"source":{"id":"https://openalex.org/S196734849","display_name":"Scientific Reports","issn_l":"2045-2322","issn":["2045-2322"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","dongbi-c","doyens","jufo-1","ki-jl-1","medline","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319908","host_organization_name":"Nature Portfolio","host_organization_lineage":["https://openalex.org/P4310319908","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Nature Portfolio","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Scientific Reports","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1038/s41598-026-79870-8","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5161455200","display_name":"A Naga Lakshmi","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A Naga Lakshmi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5161467973","display_name":"K Durga Prasad","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"K Durga Prasad","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":{"value":2690,"currency":"USD","value_usd":2690},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"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":1.0,"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":1.0,"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/T13377","display_name":"Ecosystem dynamics and resilience","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[],"concepts":[{"id":"https://openalex.org/C188382862","wikidata":"https://www.wikidata.org/wiki/Q170430","display_name":"Predation","level":2,"score":0.7954000234603882},{"id":"https://openalex.org/C200581526","wikidata":"https://www.wikidata.org/wiki/Q690494","display_name":"Homoclinic orbit","level":4,"score":0.6780999898910522},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5081999897956848},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.5054000020027161},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.4790000021457672},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.3903000056743622},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38199999928474426},{"id":"https://openalex.org/C110201527","wikidata":"https://www.wikidata.org/wiki/Q5508845","display_name":"Functional response","level":4,"score":0.3815000057220459},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.37700000405311584},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.36340001225471497},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.35249999165534973},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.3314000070095062},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3246000111103058},{"id":"https://openalex.org/C12064787","wikidata":"https://www.wikidata.org/wiki/Q4736552","display_name":"Alternative stable state","level":3,"score":0.3127000033855438},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.305400013923645},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.2962999939918518},{"id":"https://openalex.org/C49539007","wikidata":"https://www.wikidata.org/wiki/Q7782365","display_name":"Theoretical ecology","level":3,"score":0.2955000102519989},{"id":"https://openalex.org/C115961737","wikidata":"https://www.wikidata.org/wiki/Q1516282","display_name":"Juvenile","level":2,"score":0.2854999899864197},{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.2694999873638153},{"id":"https://openalex.org/C126701199","wikidata":"https://www.wikidata.org/wiki/Q264224","display_name":"Complex dynamics","level":2,"score":0.2648000121116638},{"id":"https://openalex.org/C96857902","wikidata":"https://www.wikidata.org/wiki/Q2138108","display_name":"Predator","level":3,"score":0.2606000006198883},{"id":"https://openalex.org/C207016750","wikidata":"https://www.wikidata.org/wiki/Q1955627","display_name":"Pattern formation","level":2,"score":0.258899986743927},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.25540000200271606},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.2549999952316284},{"id":"https://openalex.org/C50335755","wikidata":"https://www.wikidata.org/wiki/Q483247","display_name":"Phenomenon","level":2,"score":0.2500999867916107}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1038/s41598-026-79870-8","doi":"https://doi.org/10.1038/s41598-026-79870-8","is_oa":true,"landing_page_url":"https://doi.org/10.1038/s41598-026-79870-8","pdf_url":null,"source":{"id":"https://openalex.org/S196734849","display_name":"Scientific Reports","issn_l":"2045-2322","issn":["2045-2322"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","dongbi-c","doyens","jufo-1","ki-jl-1","medline","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319908","host_organization_name":"Nature Portfolio","host_organization_lineage":["https://openalex.org/P4310319908","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Nature Portfolio","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Scientific Reports","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1038/s41598-026-79870-8","doi":"https://doi.org/10.1038/s41598-026-79870-8","is_oa":true,"landing_page_url":"https://doi.org/10.1038/s41598-026-79870-8","pdf_url":null,"source":{"id":"https://openalex.org/S196734849","display_name":"Scientific Reports","issn_l":"2045-2322","issn":["2045-2322"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","dongbi-c","doyens","jufo-1","ki-jl-1","medline","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319908","host_organization_name":"Nature Portfolio","host_organization_lineage":["https://openalex.org/P4310319908","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Nature Portfolio","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Scientific Reports","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"Although":[1],"the":[2,81,102,121,127,155],"phenomenon":[3],"of":[4,63,83,123,158],"adult":[5],"prey":[6,40,107,132,141],"attacking":[7],"juvenile":[8],"predators":[9],"is":[10],"well":[11,74],"documented":[12],"in":[13,130],"several":[14],"ecological":[15,28,156],"systems,":[16],"its":[17],"influence":[18],"on":[19],"predator-prey":[20,37,147],"dynamics":[21,104],"remains":[22],"poorly":[23],"understood.":[24],"Motivated":[25],"by":[26,105],"this":[27],"phenomenon,":[29],"we":[30],"propose":[31],"and":[32,60,70,89,111,149],"analyze":[33],"a":[34,47,61],"modified":[35],"Leslie-Gower":[36],"model":[38,55],"incorporating":[39],"anti-predator":[41,98,124,159],"behavior":[42,99,125],"(role":[43],"reversal)":[44],"together":[45],"with":[46],"Holling":[48],"type":[49],"IV":[50],"functional":[51],"response.":[52],"The":[53,94],"proposed":[54],"exhibits":[56],"multiple":[57],"coexistence":[58,117],"equilibria":[59],"variety":[62],"dynamical":[64],"behaviors,":[65],"including":[66,112],"Transcritical,":[67],"Hopf,":[68],"saddle-node,":[69],"Bogdanov-Takens":[71],"bifurcations,":[72],"as":[73,75],"homoclinic":[76],"orbits.":[77],"Sufficient":[78],"conditions":[79],"for":[80],"occurrence":[82],"these":[84],"bifurcations":[85],"are":[86],"derived":[87],"analytically":[88],"verified":[90],"through":[91],"numerical":[92],"simulations.":[93],"results":[95],"show":[96],"that":[97,140],"fundamentally":[100],"changes":[101],"qualitative":[103],"promoting":[106],"persistence,":[108],"generating":[109],"bistability,":[110],"abrupt":[113],"transitions":[114],"between":[115],"alternative":[116],"states.":[118],"Moreover,":[119],"increasing":[120],"intensity":[122],"enlarges":[126],"parameter":[128],"region":[129],"which":[131],"populations":[133],"dominate":[134],"predator":[135],"populations.":[136],"These":[137],"findings":[138],"demonstrate":[139],"role":[142],"reversal":[143],"can":[144],"substantially":[145],"reshape":[146],"interactions":[148],"provide":[150],"new":[151],"theoretical":[152],"insights":[153],"into":[154],"consequences":[157],"behavior.":[160]},"counts_by_year":[],"updated_date":"2026-11-12T12:28:57.059296","created_date":"2026-11-12T00:00:00"}