{"id":"W4282841046","doi":"10.1142/s021812742250105x","title":"Turing–Hopf Bifurcation and Its Normal Form in a Diffusive Three-Species Food Chain System with Strong Allee Effect","year":2022,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of New Brunswick","funders":"Fundamental Research Funds for Central Universities of the Central South University; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Allee effect; Hopf bifurcation; Mathematics; Pitchfork bifurcation; Neumann boundary condition; Saddle-node bifurcation; Biological applications of bifurcation theory; Bogdanov–Takens bifurcation; Turing; Mathematical analysis; Bifurcation theory; Transcritical bifurcation; Bifurcation; Statistical physics; Boundary (topology); Physics; Nonlinear system; Computer science; Population","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":[0.0004747302,0.0003841939,0.0005472659,0.0009482716,0.0007500284,0.0008873233,0.0004514423,0.0008547242,0.001006044],"category_scores_gemma":[0.001629781,0.000221846,0.0008053969,0.0003171482,0.001851797,0.001237319,0.001022999,0.0005612909,0.0001077354],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008013517,"about_ca_system_score_gemma":0.0006017774,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002692199,"about_ca_topic_score_gemma":0.0009555585,"domain_scores_codex":[0.999803,0.0000633598,0.00001339492,0.00004581528,0.00004522316,0.00002928851],"domain_scores_gemma":[0.9995474,0.0001391491,0.0001239024,0.00003477122,0.00007937622,0.00007535773],"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":[0.0001313887,0.0000792976,0.007664349,0.0002554249,0.000121391,0.001803259,0.001215779,0.2941585,0.03939841,0.641384,0.00123356,0.01255466],"study_design_scores_gemma":[0.00003610993,0.0000597847,0.002558217,0.0000184721,0.00002662298,0.0005804532,0.0001909286,0.7657279,0.001471973,0.2280269,0.001248216,0.00005448352],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7655946,0.001473766,0.2135289,0.001161231,0.0001110721,0.00008504573,0.0001043728,0.0001416538,0.01779931],"genre_scores_gemma":[0.9919418,0.0003137861,0.006259511,0.00002691894,0.00003124827,0.00002948466,0.00002178556,0.000007714394,0.001367774],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002692199,"threshold_uncertainty_score":0.005814254,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01527066340144107,"score_gpt":0.2526175007072925,"score_spread":0.2373468373058514,"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."}}