{"id":"W4200311797","doi":"10.1155/2021/5079147","title":"Dynamics of the Exponential Population Growth System with Mixed Fractional Brownian Motion","year":2021,"lang":"en","type":"article","venue":"Complexity","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":15,"is_retracted":false,"has_abstract":true,"ca_institutions":"Science North","funders":"Key Research and Development Program of Ningxia; Natural Science Foundation of Ningxia Province; National Natural Science Foundation of China","keywords":"Fractional Brownian motion; Exponential function; Dynamics (music); Statistical physics; Exponential growth; Brownian motion; Population; Mathematics; Applied mathematics; Physics; Mathematical analysis; Statistics; Demography","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":[0.0001966278,0.00006108214,0.0002301433,0.00001302,0.00009721652,0.000001999602,0.00003954922,0.00008532942,0.0002663229],"category_scores_gemma":[0.0002174369,0.00003559839,0.00007312492,0.00008077028,0.0002274003,0.00002368932,0.00003314696,0.0001368119,0.000007501609],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004472845,"about_ca_system_score_gemma":0.00002437838,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004135121,"about_ca_topic_score_gemma":0.00008359121,"domain_scores_codex":[0.9993274,0.0001449943,0.0002020031,0.0001224025,0.000104931,0.0000982725],"domain_scores_gemma":[0.9994768,0.0001294271,0.0000795553,0.0001567626,0.000111908,0.00004556004],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","study_design_scores_codex":[0.00009474182,0.0001158766,0.03330999,0.0001814322,0.00003676462,0.000003567816,0.00001471524,0.00002768186,0.00005879971,0.9660717,0.00002296111,0.00006172784],"study_design_scores_gemma":[0.0004949442,0.00005433538,0.6449286,0.0001086958,0.00006865193,0.0001729682,0.00007904103,0.1230501,0.0004163542,0.2305716,0.000003281467,0.00005144333],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7391784,0.000007007718,0.2528187,0.003733405,0.0001440629,0.0001068591,0.00001022953,0.00002250715,0.003978846],"genre_scores_gemma":[0.9984746,5.667043e-7,0.001177007,0.0001217434,0.00004697865,0.000004899128,0.00007678621,0.000004024223,0.00009341577],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7355002,"threshold_uncertainty_score":0.2916049,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04327821268670787,"score_gpt":0.2712321446482694,"score_spread":0.2279539319615616,"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."}}