{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:38Z","timestamp":1740134558964,"version":"3.37.3"},"reference-count":22,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11371112","A201208"],"award-info":[{"award-number":["11371112","A201208"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100005046","name":"Heilongjiang Provincial Natural Science Foundation","doi-asserted-by":"crossref","award":["11371112","A201208"],"award-info":[{"award-number":["11371112","A201208"]}],"id":[{"id":"10.13039\/501100005046","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>Considering that some zooplankton can be harvested for food in some bodies of water, a phytoplankton-zooplankton model with continuous harvesting of zooplankton only is proposed and investigated. By using environmental carrying capacity as a parameter, possible dynamic behaviors, such as stability, global stability, Hopf bifurcation, and transcritical bifurcations, are analyzed. The optimal harvesting policy is disposed by imposing a tax per unit biomass of zooplankton. The problem of determining the optimal harvest policy is solved by using Pontryagin's maximum principle subject to the state equations and the control constraints, and the impact of tax is also discussed. Finally, some numerical simulations are performed to justify analytical findings.<\/jats:p>","DOI":"10.1155\/2014\/684790","type":"journal-article","created":{"date-parts":[[2014,5,29]],"date-time":"2014-05-29T17:09:07Z","timestamp":1401383347000},"page":"1-11","source":"Crossref","is-referenced-by-count":2,"title":["Stability and Selective Harvesting of a Phytoplankton-Zooplankton System"],"prefix":"10.1155","volume":"2014","author":[{"given":"Yong","family":"Wang","sequence":"first","affiliation":[{"name":"Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hongbin","family":"Wang","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1006\/jtbi.2001.2510"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1093\/imammb\/19.2.137"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1007\/s002850050128"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.ecolmodel.2008.02.019"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.tpb.2008.11.003"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2010.01.010"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2007.09.001"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2007.05.019"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2004.01.003"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.mcm.2005.09.030"},{"year":"1985","key":"11"},{"year":"1990","key":"12"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/S1007-5704(03)00101-1"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/0304-3800(94)00079-W"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/0025-5564(90)90006-K"},{"issue":"4","key":"16","doi-asserted-by":"crossref","first-page":"393","DOI":"10.1142\/S021833909800025X","volume":"6","year":"1998","journal-title":"Journal of Biological Systems"},{"year":"1976","key":"18"},{"key":"19","first-page":"513","volume":"338","year":"1997","journal-title":"Nature"},{"key":"20","doi-asserted-by":"crossref","first-page":"272","DOI":"10.4319\/lo.1982.27.2.0272","volume":"27","year":"1982","journal-title":"Limnology and Oceanography"},{"year":"1975","key":"21"},{"year":"1970","key":"22"},{"year":"1987","key":"23"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/684790.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/684790.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/684790.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,22]],"date-time":"2017-06-22T10:03:52Z","timestamp":1498125832000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/684790\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":22,"alternative-id":["684790","684790"],"URL":"https:\/\/doi.org\/10.1155\/2014\/684790","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2014]]}}}