{"id":"W4399071957","doi":"10.1016/j.jmaa.2024.128527","title":"Stationary distribution and ergodicity of a stochastic multi-species model with Holling type II response function","year":2024,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"Soochow University; Suzhou University; Natural Science Foundation of Shandong Province; National Natural Science Foundation of China","keywords":"Mathematics; Ergodicity; Functional response; Type (biology); Stationary distribution; Distribution (mathematics); Applied mathematics; Function (biology); Statistical physics; Mathematical analysis; Markov chain; Statistics; Predation; Physics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004182607,0.001310088,0.002311366,0.002418305,0.001072966,0.002388403,0.002778599,0.002158429,0.003379194],"category_scores_gemma":[0.01037674,0.0008662307,0.001999009,0.001100445,0.003412226,0.002962009,0.001891973,0.001968683,0.0005646957],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00153528,"about_ca_system_score_gemma":0.001521323,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004414068,"about_ca_topic_score_gemma":0.00228207,"domain_scores_codex":[0.9990196,0.0003606611,0.00005118283,0.0002468147,0.0001175015,0.00020409],"domain_scores_gemma":[0.9888026,0.007365278,0.001736125,0.0005210481,0.0008468624,0.0007280213],"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":[0.0003241672,0.0002694681,0.0133087,0.0003663151,0.0005823913,0.001172743,0.0008599801,0.477966,0.01097642,0.4846267,0.001985782,0.007561437],"study_design_scores_gemma":[0.00003248268,0.0000733016,0.002513276,0.00002902336,0.00009933949,0.0002200776,0.0001170056,0.9308742,0.0005016821,0.06518875,0.0002765695,0.00007423975],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5799708,0.0007376229,0.4124673,0.001226759,0.0001165495,0.0001108117,0.0004415386,0.00025038,0.004678207],"genre_scores_gemma":[0.9811637,0.0005462563,0.008885088,0.0001320854,0.0001199256,0.000141003,0.0003722284,0.00009694329,0.008542779],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004414068,"threshold_uncertainty_score":0.02212,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03246072392366477,"score_gpt":0.3069226707664574,"score_spread":0.2744619468427926,"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."}}