{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,22]],"date-time":"2025-11-22T16:49:29Z","timestamp":1763830169899},"reference-count":0,"publisher":"Informa UK Limited","issue":"2","license":[{"start":{"date-parts":[[1999,1,1]],"date-time":"1999-01-01T00:00:00Z","timestamp":915148800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics and Decision Sciences"],"published-print":{"date-parts":[[1999,1,1]]},"abstract":"<jats:p>The global properties of the classical three-dimensional Lotka-Volterra two prey-one\npredator and one prey-two predator systems, under the assumption that competition can\nbe neglected, are analysed with the direct Lyapunov method. It is shown that, except for a\npathological case, one species is always driven to extinction, and the system behaves asymptotically\nas a two-dimensional predator-prey Lotka-Volterra system. The same approach can be easily\nextended to systems with many prey species and one predator, or many predator species and one\nprey, and the same conclusion holds. The situation considered is common for New Zealand wild life,\nwhere indigenous and introduced species interact with devastating consequences for the indigenous\nspecies. According to our results the New Zealand indigenous species are definitely driven to\nextinction, not only in consequence of unsuccessful competition, but even when competition is\nabsent. This result leads to a better understanding of the mechanism of natural selection, and\ngives a new insight into pest control practice.<\/jats:p>","DOI":"10.1155\/s1173912699000085","type":"journal-article","created":{"date-parts":[[2007,3,8]],"date-time":"2007-03-08T07:44:28Z","timestamp":1173339868000},"page":"155-162","source":"Crossref","is-referenced-by-count":31,"title":["Global properties of the three-dimensional\npredator-prey Lotka-Volterra systems"],"prefix":"10.1080","volume":"3","author":[{"given":"A.","family":"Korobeinikov","sequence":"first","affiliation":[{"name":"Department of Mathematics,  University of Auckland, New Zealand"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"G. C.","family":"Wake","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, University of Canterbury, Private Bag 4800, Christchurch, New Zealand"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"301","container-title":["Journal of Applied Mathematics and Decision Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/archive\/1999\/308731.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/archive\/1999\/308731.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,8]],"date-time":"2024-08-08T14:22:58Z","timestamp":1723126978000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/ads\/1999\/308731\/abs\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,1,1]]},"references-count":0,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1999,1,1]]}},"alternative-id":["308731"],"URL":"https:\/\/doi.org\/10.1155\/s1173912699000085","relation":{},"ISSN":["1173-9126"],"issn-type":[{"type":"print","value":"1173-9126"}],"subject":[],"published":{"date-parts":[[1999,1,1]]}}}