{"id":"W2088117802","doi":"10.1093/imammb/dql011","title":"Bifurcations of an epidemic model with non-linear incidence and infection-dependent removal rate","year":2006,"lang":"en","type":"article","venue":"Mathematical Medicine and Biology A Journal of the IMA","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":32,"is_retracted":false,"has_abstract":true,"ca_institutions":"National Research Council Canada; National Research Council Institute for Biodiagnostics","funders":"Natural Sciences and Engineering Research Council of Canada; Mitacs","keywords":"Mathematics; Bogdanov–Takens bifurcation; Transcritical bifurcation; Saddle-node bifurcation; Bifurcation diagram; Bifurcation; Hopf bifurcation; Homoclinic orbit; Homoclinic bifurcation; Mathematical analysis; Infinite-period bifurcation; Applied mathematics; Period-doubling bifurcation; Pitchfork bifurcation; Nonlinear system; Physics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000582932,0.000550887,0.0007451,0.001005093,0.0005415786,0.000952527,0.0007683482,0.001160401,0.001789244],"category_scores_gemma":[0.001551679,0.0003152075,0.001061082,0.0005052995,0.000744706,0.0007806275,0.0008874045,0.0007043402,0.0002385847],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001113928,"about_ca_system_score_gemma":0.0005824227,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.005220032,"about_ca_topic_score_gemma":0.002037384,"domain_scores_codex":[0.9997997,0.00007222834,0.00001404162,0.00003312299,0.00003665825,0.00004427141],"domain_scores_gemma":[0.9995883,0.0001859682,0.0000993157,0.00002655849,0.00005180614,0.00004804],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000117222,0.00007595892,0.002136126,0.00008200915,0.00007232701,0.0007963577,0.0003673797,0.81773,0.007936012,0.1639242,0.001196301,0.005566147],"study_design_scores_gemma":[0.00001523722,0.0000221196,0.0004164216,0.000008781309,0.00001685276,0.00008417464,0.00002424368,0.9780014,0.0001713134,0.0207455,0.0004821508,0.00001186552],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5757681,0.00159504,0.3856995,0.001930319,0.0002216218,0.0001104587,0.0003609148,0.000393397,0.03392068],"genre_scores_gemma":[0.9863732,0.0004675034,0.006962826,0.00007021847,0.00004049801,0.00007208322,0.00007210406,0.00002508813,0.005916489],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005220032,"threshold_uncertainty_score":0.01037925,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03999096005348245,"score_gpt":0.335427738098364,"score_spread":0.2954367780448816,"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."}}