{"id":"W4394793011","doi":"10.61091/um119-10","title":"A Discrete-Time Modified Leslie-Gower Model with Double Allee Effect and Its Stability and Bifurcation Analysis","year":2024,"lang":"en","type":"article","venue":"Utilitas Mathematica","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Allee effect; Mathematics; Center manifold; Stability (learning theory); Discrete time and continuous time; Applied mathematics; Consistency (knowledge bases); Bifurcation; Statistical physics; Continuous modelling; Nonlinear system; Mathematical economics; Mathematical analysis; Statistics; Hopf bifurcation; Computer science; Discrete mathematics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001426781,0.0002526979,0.0008697185,0.0001377891,0.0001012919,0.00002887916,0.00006062321,0.0002000632,0.0008014899],"category_scores_gemma":[0.0003472385,0.0001450885,0.0001358929,0.0002632955,0.0003901805,0.0001063185,0.00007237725,0.0002459738,0.00007476698],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002238923,"about_ca_system_score_gemma":0.00003397711,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002251266,"about_ca_topic_score_gemma":0.000001986258,"domain_scores_codex":[0.9984773,0.0001096258,0.0004101445,0.0005242589,0.0001639333,0.0003147428],"domain_scores_gemma":[0.9979435,0.001378576,0.00004327398,0.0003399902,0.00005153416,0.0002431262],"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":[0.001014362,0.0002596651,0.0002126755,0.003275713,0.001666009,0.00002030218,0.001286309,0.0001408196,0.0004770768,0.9912464,0.0001115807,0.0002891104],"study_design_scores_gemma":[0.0006186038,0.0003291197,0.0001940612,0.0001546087,0.002064273,0.0000391195,0.00003557444,0.8384382,0.0003025344,0.1576732,0.00001044682,0.000140305],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8798652,0.000960605,0.09688151,0.003523974,0.00001368541,0.0008857752,0.00002095778,0.0001802801,0.01766801],"genre_scores_gemma":[0.9965423,0.00003388852,0.002316672,0.0001531204,0.0000145809,0.0001136611,0.00002187695,0.00001938956,0.0007844617],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8382973,"threshold_uncertainty_score":0.8775752,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02823887074617918,"score_gpt":0.3017143611297668,"score_spread":0.2734754903835876,"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."}}