{"id":"W1967765737","doi":"10.1016/s0022-247x(02)00611-x","title":"Stable periodic solution of a discrete periodic Lotka–Volterra competition system","year":2003,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":84,"is_retracted":false,"has_abstract":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Mathematics; Volterra equations; Scalar (mathematics); Complement (music); Periodic system; Persistence (discontinuity); Competition (biology); Applied mathematics; Mathematical analysis; Nonlinear system; Physics; Geometry","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":[0.001130701,0.0001153777,0.0009053722,0.0001793626,0.0001274699,0.00001131825,0.00006563897,0.0001124465,0.0006114149],"category_scores_gemma":[0.000239514,0.00007369164,0.0003577092,0.0003519638,0.0003526142,0.0000527319,0.00001741856,0.0001865325,0.00001658656],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002660901,"about_ca_system_score_gemma":0.00004100308,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001864967,"about_ca_topic_score_gemma":9.33132e-7,"domain_scores_codex":[0.9984861,0.0001217721,0.0009103796,0.0001361535,0.0001820767,0.000163493],"domain_scores_gemma":[0.9986712,0.0003459163,0.0004027861,0.0001914013,0.0001913823,0.0001973639],"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":[0.00003303241,0.0003119344,0.0004414577,0.0004792076,0.0005484322,0.000002563963,0.00009410612,0.00003155597,0.0007530901,0.997112,0.00001708487,0.0001754957],"study_design_scores_gemma":[0.003459804,0.001513152,0.007701906,0.001215749,0.02452266,0.002044007,0.003424388,0.4569694,0.002395127,0.4935998,0.002505734,0.0006483222],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06016899,0.000231539,0.9330813,0.0006867942,0.000009052866,0.0001778715,0.000006148015,0.000009290623,0.005628972],"genre_scores_gemma":[0.9922196,0.00006119249,0.007469406,0.00006096206,0.00003469797,0.00002538755,0.000004829575,0.000005754681,0.0001181741],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9320506,"threshold_uncertainty_score":0.6694564,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01851145600203951,"score_gpt":0.2808742750015613,"score_spread":0.2623628189995218,"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."}}