{"id":"W4396715406","doi":"10.48550/arxiv.2405.02444","title":"Local existence of solutions to a nonlinear autonomous PDE model for population dynamics with nonlocal transport and competition","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Dynamics (music); Nonlinear system; Competition (biology); Population; Competition model; Statistical physics; Mathematics; Economics; Applied mathematics; Mathematical economics; Physics; Neoclassical economics; Sociology; Ecology; Biology; Demography","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008891574,0.0004467214,0.0004206039,0.0003931799,0.0004886206,0.0007302298,0.0007794243,0.001028855,0.00106602],"category_scores_gemma":[0.0028881,0.000283568,0.000589747,0.0002061528,0.001758887,0.001452121,0.001381496,0.001083223,0.0001098697],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007153504,"about_ca_system_score_gemma":0.0007623323,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001834427,"about_ca_topic_score_gemma":0.001373015,"domain_scores_codex":[0.9998229,0.00006089278,0.000008577703,0.0000493956,0.00003780955,0.00002050772],"domain_scores_gemma":[0.9990311,0.0005379254,0.0001721321,0.00004860908,0.0001437817,0.00006654295],"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":[0.00006142967,0.00005841877,0.003113158,0.0002826331,0.00007645207,0.00100913,0.0009485437,0.3383225,0.02318255,0.6220053,0.0009644399,0.009975343],"study_design_scores_gemma":[0.000009334029,0.00004152389,0.0003766945,0.00001005602,0.00001097887,0.0001320792,0.00008400314,0.9324533,0.001874656,0.06430505,0.0006889101,0.00001340825],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.2288776,0.0004422789,0.7632584,0.001273674,0.00005454355,0.00004490821,0.00004499467,0.00005699268,0.005946629],"genre_scores_gemma":[0.9346464,0.0003207463,0.05661418,0.0002079023,0.00004669291,0.00006499184,0.00004090783,0.00002423492,0.008033879],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.001834427,"threshold_uncertainty_score":0.005190194,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07047859128843914,"score_gpt":0.2296159706695604,"score_spread":0.1591373793811212,"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."}}