{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T12:42:33Z","timestamp":1771677753667,"version":"3.50.1"},"reference-count":29,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2024,6,28]],"date-time":"2024-06-28T00:00:00Z","timestamp":1719532800000},"content-version":"vor","delay-in-days":179,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2024,1]]},"abstract":"<jats:p>One of the central concerns in ecology is assessing the impact of environmental changes, such as global temperature shifts, on the dynamic interactions between predators and prey across diverse ecosystems. This study explores the relationship between prey and predator populations in the context of climate\u2010induced temperature changes. Utilizing linearization and the Lyapunov approach, we analyze the local and global stability of the system\u2019s equilibrium points. Applying Sotomayor\u2019s theorem, we further investigate the local bifurcation of the fixed points. Additionally, the persistence of the model system is studied. The ecological models developed in this research aim to explore the stability of these predator\u2013prey systems and provide insights to prevent the decline of endangered species. Numerical simulations are conducted to study the impact of environmental changes on the proposed models. The simulation results indicate that the temperature dependence of the predator\u2013prey population dynamics is directly proportional to the size of the reserved habitat area for the prey when the temperature is high. These findings suggest that the preservation of sufficient habitat reserves plays a crucial role in promoting the long\u2010term survival of species and stabilizing their ecological interactions.<\/jats:p>","DOI":"10.1155\/2024\/5138320","type":"journal-article","created":{"date-parts":[[2024,6,28]],"date-time":"2024-06-28T17:47:01Z","timestamp":1719596821000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Analysis of Predator\u2013Prey Model With Inclusion of Temperature Variability in Prey Refugees"],"prefix":"10.1155","volume":"2024","author":[{"given":"Negeri Negese","family":"Wayesa","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5166-6385","authenticated-orcid":false,"given":"Legesse Lemecha","family":"Obsu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohammed Yiha","family":"Dawed","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2024,6,28]]},"reference":[{"key":"e_1_2_11_1_2","doi-asserted-by":"publisher","DOI":"10.53550\/EEC.2022.v28i02.040"},{"key":"e_1_2_11_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.biocon.2020.108502"},{"key":"e_1_2_11_3_2","doi-asserted-by":"publisher","DOI":"10.1111\/gcb.14562"},{"key":"e_1_2_11_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10584-019-02420-x"},{"key":"e_1_2_11_5_2","doi-asserted-by":"publisher","DOI":"10.12933\/therya-20-844"},{"key":"e_1_2_11_6_2","doi-asserted-by":"publisher","DOI":"10.1890\/0012-9615(2006)076[0461:MPOTSI]2.0.CO;2"},{"key":"e_1_2_11_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtherbio.2023.103549"},{"key":"e_1_2_11_8_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00442-017-4017-y"},{"key":"e_1_2_11_9_2","doi-asserted-by":"publisher","DOI":"10.1111\/brv.12934"},{"key":"e_1_2_11_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.scitotenv.2021.145916"},{"key":"e_1_2_11_11_2","doi-asserted-by":"publisher","DOI":"10.1890\/08-0079.1"},{"key":"e_1_2_11_12_2","doi-asserted-by":"publisher","DOI":"10.1142\/S1793524523500109"},{"key":"e_1_2_11_13_2","doi-asserted-by":"publisher","DOI":"10.1890\/12-0502.1"},{"key":"e_1_2_11_14_2","article-title":"The fear effect on a food chain prey-predator model incorporating a prey refuge and harvesting","volume":"1804","author":"Alabacy Z. 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