{"id":"W2065234995","doi":"10.1016/j.apm.2009.07.018","title":"Bifurcation analysis in an age-structured model of a single species living in two identical patches","year":2009,"lang":"en","type":"article","venue":"Applied Mathematical Modelling","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":13,"is_retracted":false,"has_abstract":false,"ca_institutions":"Western University","funders":"","keywords":"Center manifold; Mathematics; Hopf bifurcation; Stability (learning theory); Bifurcation; Mathematical analysis; Population; Manifold (fluid mechanics); Homogeneous; Population model; Applied mathematics; Pure mathematics; Statistical physics; Combinatorics; Physics; Computer science; Nonlinear system; 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":[0.001094658,0.0002202881,0.001162888,0.0003800013,0.0000342032,0.00001222828,0.0001393954,0.0002166224,0.0001732041],"category_scores_gemma":[0.0003253452,0.0001761793,0.0001704061,0.0005285006,0.0002383606,0.00008381467,0.00003673334,0.000338109,0.000009875127],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005151666,"about_ca_system_score_gemma":0.00002377796,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005138219,"about_ca_topic_score_gemma":0.00002902257,"domain_scores_codex":[0.9977771,0.00007341928,0.001114418,0.0004010298,0.0002150293,0.0004189694],"domain_scores_gemma":[0.9985255,0.0007836565,0.0001284,0.0003565769,0.00004148126,0.0001644114],"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":[0.00009577292,0.0009269723,0.0005001788,0.0001115941,0.00004432021,0.0000076172,0.001144615,0.2477721,0.005762583,0.7434694,3.926175e-7,0.0001645162],"study_design_scores_gemma":[0.0002467683,0.00004602884,0.0006401452,0.00007662719,0.0001573188,0.000001692808,0.00008348453,0.5177271,0.0004375237,0.4804991,3.934175e-8,0.00008414568],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4877383,0.000008657628,0.50753,0.0001731127,0.000003984322,0.0001947455,7.990803e-7,0.00002271288,0.004327699],"genre_scores_gemma":[0.930907,0.000006863075,0.06875318,0.0002280108,0.00002290243,0.00002257129,0.000009689086,0.0000122875,0.00003751215],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.4431687,"threshold_uncertainty_score":0.7184384,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06393205428915083,"score_gpt":0.311196855148775,"score_spread":0.2472648008596242,"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."}}