{"id":"W1970878995","doi":"10.1016/j.amc.2006.07.096","title":"Permanence for a discrete time Lotka–Volterra type food-chain model with delays","year":2006,"lang":"en","type":"article","venue":"Applied Mathematics and Computation","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":11,"is_retracted":false,"has_abstract":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Type (biology); Mathematics; Discrete time and continuous time; Food chain; Applied mathematics; Chain (unit); Volterra equations; Control theory (sociology); Mathematical optimization; Computer science; Statistics; Nonlinear system; Ecology; Control (management); Artificial intelligence; Physics; 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":[0.0002291262,0.0001294538,0.0003191828,0.00003124376,0.0000944755,0.00001002738,0.00003292455,0.0000953101,0.00001668741],"category_scores_gemma":[0.00002404373,0.00008735545,0.00003295448,0.0000515444,0.0001363975,0.00002165751,0.00002011206,0.00007717603,0.00001725649],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000008819964,"about_ca_system_score_gemma":0.00001938994,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":7.469496e-7,"about_ca_topic_score_gemma":0.00000109148,"domain_scores_codex":[0.999299,0.000005369071,0.0002486097,0.000189143,0.00007592919,0.0001819551],"domain_scores_gemma":[0.9994136,0.0002974769,0.00007766852,0.00009319711,0.00005462416,0.00006339802],"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":[0.0001257343,0.0001203733,0.000003470867,0.0002704526,0.0000300793,8.981314e-7,0.0001663507,0.005599877,0.0005153968,0.992569,0.0001684022,0.0004299942],"study_design_scores_gemma":[0.000414826,0.0002371504,0.00001331169,0.00002763783,0.00006677168,0.0000200764,0.00001939125,0.5893139,0.00006001615,0.4097524,0.000006830111,0.00006760789],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1398754,0.00001958363,0.8522618,0.0004976019,0.000007215257,0.0004541816,0.000004235868,0.00004309197,0.006836853],"genre_scores_gemma":[0.8732222,0.000002990302,0.1261221,0.0003091978,0.00003141348,0.00006174465,0.00004751745,0.00001522633,0.0001876149],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7333468,"threshold_uncertainty_score":0.3562252,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01983936862861104,"score_gpt":0.2639538315825173,"score_spread":0.2441144629539062,"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."}}