{"id":"W2084777975","doi":"10.1080/17513758.2010.510584","title":"Backward bifurcations in simple vaccination/treatment models","year":2011,"lang":"en","type":"article","venue":"Journal of Biological Dynamics","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":23,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Simple (philosophy); Vaccination; Epidemic model; Mathematics; Transmission (telecommunications); Applied mathematics; Disease transmission; Computer science; Virology; Medicine; Population; Environmental health","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":[0.0004983272,0.0001004936,0.0004540735,0.00009637809,0.00003125417,0.000001902845,0.0000822752,0.0002191024,0.0007601031],"category_scores_gemma":[0.000393286,0.00005431959,0.0001566331,0.0001031835,0.00009635941,0.00005613441,0.00002225798,0.0002091531,0.00001899391],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001085916,"about_ca_system_score_gemma":0.00004264508,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006970403,"about_ca_topic_score_gemma":0.00001068596,"domain_scores_codex":[0.998989,0.00009987884,0.0005636303,0.0001059384,0.00005567844,0.0001858186],"domain_scores_gemma":[0.9991845,0.0003209126,0.0001564664,0.0001016404,0.000102512,0.0001339107],"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":[0.0003621241,0.001217863,0.0374173,0.00001373177,0.00007708153,0.00007098167,0.000168399,0.0002107666,0.00001920418,0.9555573,0.00003631542,0.004848887],"study_design_scores_gemma":[0.00084279,0.001613713,0.06860475,0.00001900185,0.0000466501,0.0001804502,0.00008515175,0.1256565,0.00002614393,0.8028116,0.00004576709,0.00006756751],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8492405,0.0001152482,0.1280942,0.001649307,0.00008586982,0.0001743157,0.000006732613,0.00001392052,0.02061994],"genre_scores_gemma":[0.9929621,0.0003281952,0.006193982,0.000382288,0.00003683944,0.000005608319,0.00000869534,0.000004021421,0.00007828739],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1527458,"threshold_uncertainty_score":0.8322595,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1255916244651802,"score_gpt":0.3259739059446262,"score_spread":0.200382281479446,"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."}}