{"id":"W2346312898","doi":"10.5539/jmr.v8n3p22","title":"Hopf-bifurcation Limit Cycles of an Extended Rosenzweig-MacArthur Model","year":2016,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Hopf bifurcation; Limit (mathematics); Limit cycle; Equivalence (formal languages); Bifurcation; Bifurcation diagram; Parameter space; Saddle-node bifurcation; Period-doubling bifurcation; Stability (learning theory); Applied mathematics; Mathematical analysis; Pure mathematics; Geometry; Nonlinear system; Physics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006341218,0.0001175301,0.0006768791,0.0002896601,0.00007370161,0.000007020654,0.0002555637,0.000225346,0.000417832],"category_scores_gemma":[0.004734928,0.00006059071,0.0001885415,0.0001382494,0.0005958185,0.0001574318,0.00007275784,0.0004496827,0.00004700907],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004787989,"about_ca_system_score_gemma":0.0001901264,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":8.493702e-7,"about_ca_topic_score_gemma":9.774501e-7,"domain_scores_codex":[0.9975905,0.0002734624,0.0009845058,0.0001424653,0.0006471667,0.0003618725],"domain_scores_gemma":[0.9959033,0.002232495,0.0003217752,0.0003590758,0.0008673011,0.0003160459],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0004673209,0.002347852,0.0002062531,0.0005915714,0.0001759652,0.00005440871,0.0005863576,0.00009410115,0.03043146,0.957108,0.0006114749,0.007325299],"study_design_scores_gemma":[0.001072736,0.001033925,0.0004653621,0.0004901395,0.0000699387,0.0002952952,0.0001558404,0.07954698,0.01032392,0.9064499,0.00002514132,0.00007084738],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8238636,0.0001026136,0.1655495,0.004183237,0.00003949994,0.0002081262,0.000004548212,0.00001072845,0.006038151],"genre_scores_gemma":[0.9672571,0.000215244,0.03159278,0.00007198462,0.00008326649,0.000006109557,7.226757e-7,0.00001724939,0.0007554744],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1433936,"threshold_uncertainty_score":0.5668493,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1774961349732484,"score_gpt":0.4508574793163522,"score_spread":0.2733613443431038,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}