{"id":"W4382560599","doi":"10.3390/math11132911","title":"Stability and Bifurcations in a Nutrient–Phytoplankton–Zooplankton Model with Delayed Nutrient Recycling with Gamma Distribution","year":2023,"lang":"en","type":"article","venue":"Mathematics","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Zooplankton; Phytoplankton; Stability (learning theory); Nutrient; Hopf bifurcation; Stability theory; Mathematics; Transcritical bifurcation; Bifurcation; Statistical physics; Applied mathematics; Environmental science; Control theory (sociology); Physics; Ecology; Computer science; Biology; Nonlinear system","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":[0.00086573,0.0001783542,0.0005001433,0.00007571144,0.000115739,0.00001005444,0.00005708846,0.000160882,0.00004466092],"category_scores_gemma":[0.0004178466,0.0001119146,0.00003589676,0.000382215,0.0003230984,0.00005384335,0.00004249187,0.000279749,0.00002650591],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005114193,"about_ca_system_score_gemma":0.00006452841,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003886271,"about_ca_topic_score_gemma":0.00001847818,"domain_scores_codex":[0.9987072,0.0000515455,0.0004271989,0.0002975537,0.0001581853,0.0003583205],"domain_scores_gemma":[0.9986787,0.0006964649,0.00009638022,0.0002976982,0.00007221194,0.0001584809],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0007751381,0.000970291,0.008491036,0.001006854,0.00009092852,0.00005687267,0.002108965,0.0007143526,0.0001596738,0.9853255,0.0001824051,0.0001180312],"study_design_scores_gemma":[0.001653004,0.0004633901,0.001531017,0.0003855971,0.0001370217,0.0001107123,0.0005787292,0.648066,0.0006647113,0.346189,0.00003825871,0.0001826216],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.722775,0.00001825132,0.2741488,0.001438724,0.00001017271,0.0004715145,0.00003527764,0.00009162218,0.001010587],"genre_scores_gemma":[0.9912633,0.00005327587,0.008118368,0.0001128854,0.00001490017,0.0001353383,0.0001459283,0.00001614795,0.0001398923],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6473516,"threshold_uncertainty_score":0.4563747,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03587407691968132,"score_gpt":0.2813722183330042,"score_spread":0.2454981414133229,"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."}}