{"id":"W2080114396","doi":"10.1016/j.jde.2009.01.001","title":"Dynamic transcritical bifurcations in a class of slow–fast predator–prey models","year":2009,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":26,"is_retracted":false,"has_abstract":false,"ca_institutions":"Laurentian University","funders":"","keywords":"Mathematics; Predation; Class (philosophy); Predator; Bifurcation; Dynamics (music); Applied mathematics; Hopf bifurcation; Stability (learning theory); Transcritical bifurcation; Control theory (sociology); Statistical physics; Computer science; Ecology; Nonlinear system; Physics; Artificial intelligence; Biology","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003465081,0.0001034605,0.000550743,0.0002098733,0.00003963435,0.000004179265,0.0001027524,0.0001715178,0.0002747194],"category_scores_gemma":[0.0007103766,0.00007625876,0.0002254177,0.000149599,0.0001744256,0.0001138262,0.00000872531,0.0003743506,0.000004208795],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003572932,"about_ca_system_score_gemma":0.0001075776,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001705756,"about_ca_topic_score_gemma":0.00001096375,"domain_scores_codex":[0.9985054,0.0001183085,0.0009069112,0.0001024725,0.000171485,0.0001954482],"domain_scores_gemma":[0.9988267,0.0005523112,0.000156142,0.0001351625,0.0001712168,0.0001584019],"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":[0.0002563804,0.001640017,0.0001667327,0.00005234834,0.00007509879,0.000009182017,0.0003417601,0.001233027,0.003402426,0.9916378,0.00003518168,0.001150045],"study_design_scores_gemma":[0.001394521,0.0006565177,0.01052732,0.0001798047,0.0002389904,0.00004664795,0.00005870031,0.4652943,0.0001427086,0.5213893,0.00000285369,0.00006829554],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3855331,0.00007002199,0.6082011,0.004403176,0.00006603237,0.0001161783,0.000007929577,0.000005849477,0.001596655],"genre_scores_gemma":[0.9977219,0.00004101528,0.001875275,0.0002159741,0.00003619173,0.000003842467,0.000008839384,0.000005397508,0.0000916233],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6121888,"threshold_uncertainty_score":0.3109742,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03280371147043513,"score_gpt":0.3158952387543725,"score_spread":0.2830915272839374,"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."}}