{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T00:44:55Z","timestamp":1760143495534,"version":"build-2065373602"},"reference-count":51,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T00:00:00Z","timestamp":1760054400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Science and Technology Program of Guangzhou","award":["2023A04J1325"],"award-info":[{"award-number":["2023A04J1325"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>Through transformation and utilizing a novel extended complex method combining with the Weierstrass factorization theorem, Wiman\u2013Valiron theory and the Painlev\u00e9 test, new non-constant meromorphic solutions were constructed for the predator\u2013prey model. These meromorphic solutions contain the rational solutions, exponential solutions, elliptic solutions, and transcendental entire function solutions of infinite order in the complex plane. The exact solutions contribute to understanding the predator\u2013prey model from the perspective of complex differential equations. In fact, the presented synthesis method provides a new technology for studying some systems of partial differential equations.<\/jats:p>","DOI":"10.3390\/axioms14100758","type":"journal-article","created":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T13:47:08Z","timestamp":1760104028000},"page":"758","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["An Extended Complex Method to Solve the Predator\u2013Prey Model"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7416-2593","authenticated-orcid":false,"given":"Hongqiang","family":"Tu","sequence":"first","affiliation":[{"name":"School of Mathematics, Guangdong University of Education, Guangzhou 510800, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4393-9715","authenticated-orcid":false,"given":"Guoqiang","family":"Dang","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,10,10]]},"reference":[{"key":"ref_1","unstructured":"Eremenko, A. 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