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Furthermore, a switched adaptive controller is proposed, cycling through a set of given control actions, that also achieves global asymptotic stability. Such a model in practice allows for the possibility of rotating between different courses of management action. In developing our control strategies we appeal to comparison and monotonicity arguments. Interestingly, componentwise nonnegativity of the model, combined with an irreducibility assumption, implies that several issues typically associated with high-gain adaptive controllers do not arise and usual high-gain structural assumptions are not required.<\/jats:p>","DOI":"10.1137\/140996926","type":"journal-article","created":{"date-parts":[[2016,2,4]],"date-time":"2016-02-04T12:06:21Z","timestamp":1454587581000},"page":"238-275","source":"Crossref","is-referenced-by-count":16,"title":["Simple Adaptive Control for Positive Linear Systems with Applications to Pest Management"],"prefix":"10.1137","volume":"76","author":[{"given":"Chris","family":"Guiver","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Christina","family":"Edholm","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yu","family":"Jin","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Markus","family":"Mueller","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jim","family":"Powell","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Richard","family":"Rebarber","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Brigitte","family":"Tenhumberg","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Stuart","family":"Townley","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2016,2,4]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1098\/rstb.2012.0273"},{"key":"atypb2","unstructured":"U.S. EPA,\n                      Pesticides Industry Sales and Usage 2006 and 2007 Market Estimates\n                      , u\u0306lhttp:\/\/www.epa.gov\/pesticides\/pesticides-industry-sales-and-usage-2006-and-2007-market-estimates."},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.2307\/1311994"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1017\/S0021859605005708"},{"key":"atypb5","first-page":"1","author":"Pimentel D.","year":"1997","journal-title":"UK"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.2307\/2403471"},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.2307\/4425"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1016\/j.tpb.2006.05.003"},{"key":"atypb9","doi-asserted-by":"publisher","DOI":"10.1016\/j.ecolecon.2009.08.029"},{"key":"atypb10","doi-asserted-by":"publisher","DOI":"10.1046\/j.1365-2664.2000.00467.x"},{"key":"atypb11","doi-asserted-by":"publisher","DOI":"10.1016\/j.reseneeco.2010.04.005"},{"key":"atypb12","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.1016846108"},{"key":"atypb13","unstructured":"R. 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