{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T01:29:20Z","timestamp":1760059760136,"version":"build-2065373602"},"reference-count":38,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2025,7,12]],"date-time":"2025-07-12T00:00:00Z","timestamp":1752278400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Gansu Provincial Education Department\u2019s Graduate Student \u201cInnovation Star\u201d","award":["2025CXZX-249","2025CXZX-237","31920240117","31920250031","10017632"],"award-info":[{"award-number":["2025CXZX-249","2025CXZX-237","31920240117","31920250031","10017632"]}]},{"name":"Fundamental Research Funds for the Central Universities","award":["2025CXZX-249","2025CXZX-237","31920240117","31920250031","10017632"],"award-info":[{"award-number":["2025CXZX-249","2025CXZX-237","31920240117","31920250031","10017632"]}]},{"name":"Innovation Team of Ecosystem Restoration Modeling Theory and Application of Northwest Minzu University","award":["2025CXZX-249","2025CXZX-237","31920240117","31920250031","10017632"],"award-info":[{"award-number":["2025CXZX-249","2025CXZX-237","31920240117","31920250031","10017632"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this paper, an eco-epidemiological model with a weak Allee effect and prey disease dynamics is discussed. Mathematical features such as non-negativity, boundedness of solutions, and local stability of the feasible equilibria are discussed. Additionally, the transcritical bifurcation, saddle-node bifurcation, and Hopf bifurcation are proven using Sotomayor\u2019s theorem and Poincare\u2013Andronov\u2013Hopf theorems. In addition, the correctness of the theoretical analysis is verified by numerical simulation. The numerical simulation results show that the eco-epidemiological model with a weak Allee effect has complex dynamics. If the prey population is not affected by disease, the predator becomes extinct due to a lack of food. Under low infection rates, all populations are maintained in a coexistent state. The Allee effect does not influence this coexistence. At high infection rates, if the prey population is not affected by the Allee effect, the infected prey is found to coexist in an oscillatory state. The predator population and the susceptible prey population will be extinct. If the prey population is affected by the Allee effect, all species will be extinct.<\/jats:p>","DOI":"10.3390\/axioms14070531","type":"journal-article","created":{"date-parts":[[2025,7,14]],"date-time":"2025-07-14T10:55:41Z","timestamp":1752490541000},"page":"531","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["The Effects of the Weak Allee Effect and Disease on the Dynamics of a Predator\u2013Prey System: Stability and Bifurcation Properties"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0009-0000-5808-4428","authenticated-orcid":false,"given":"Yurong","family":"Dong","sequence":"first","affiliation":[{"name":"School of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730030, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1135-4969","authenticated-orcid":false,"given":"Hua","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730030, China"}]},{"given":"Jianhua","family":"Ye","sequence":"additional","affiliation":[{"name":"School of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730030, China"}]},{"given":"Gang","family":"Ma","sequence":"additional","affiliation":[{"name":"School of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730030, China"}]},{"given":"Yumei","family":"Wei","sequence":"additional","affiliation":[{"name":"Experimental Teaching Department, Northwest Minzu University, Lanzhou 730030, China"}]}],"member":"1968","published-online":{"date-parts":[[2025,7,12]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Li, C. 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