{"id":"W1527522948","doi":"10.1090/s0002-9939-06-08320-1","title":"On positive periodic solutions of Lotka-Volterra competition systems with deviating arguments","year":2006,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":64,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Competition (biology); Mathematics; Mathematical economics; Statistical physics; Applied mathematics; Physics; Biology; Ecology","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0005122307,0.0001583344,0.00070178,0.0000201916,0.0001570641,0.000007447316,0.0001285365,0.00007162807,0.00006274937],"category_scores_gemma":[0.0002960942,0.00008631963,0.0002606171,0.0002080457,0.001676067,0.00003263058,0.00006899311,0.0002298005,0.00001061938],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000494429,"about_ca_system_score_gemma":0.00002313088,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001701915,"about_ca_topic_score_gemma":1.833598e-7,"domain_scores_codex":[0.9987395,0.00002227407,0.0004866024,0.0001952646,0.0002679018,0.0002884813],"domain_scores_gemma":[0.9986361,0.0004867747,0.0005007469,0.0001110866,0.0001939403,0.00007139178],"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":[0.0001156649,0.0005805331,0.001188494,0.0006518004,0.0001344842,2.436364e-7,0.000240082,0.00002982257,0.002305875,0.9943792,0.0003563126,0.00001743672],"study_design_scores_gemma":[0.002413161,0.003713062,0.02702366,0.004793812,0.001268151,0.0002285844,0.003860472,0.186536,0.006583294,0.7629877,0.00001973208,0.0005723388],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9455438,0.00001949515,0.0248864,0.001546604,0.00001640785,0.0004824707,0.00001065451,0.00003538184,0.02745881],"genre_scores_gemma":[0.9956778,0.000003653293,0.003721963,0.0003400368,0.00003340344,0.0000324985,0.000002272845,0.0000135258,0.0001748868],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2313915,"threshold_uncertainty_score":0.6175539,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01360941746972758,"score_gpt":0.2506709538724454,"score_spread":0.2370615364027178,"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."}}