{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:41Z","timestamp":1740134561959,"version":"3.37.3"},"reference-count":17,"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\/501100004884","name":"Education Department of Sichuan Province","doi-asserted-by":"publisher","award":["11ZB192","14ZB0115","51349011","41072235"],"award-info":[{"award-number":["11ZB192","14ZB0115","51349011","41072235"]}],"id":[{"id":"10.13039\/501100004884","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004884","name":"Education Department of Sichuan Province","doi-asserted-by":"publisher","award":["11ZB192","14ZB0115","51349011","41072235"],"award-info":[{"award-number":["11ZB192","14ZB0115","51349011","41072235"]}],"id":[{"id":"10.13039\/501100004884","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11ZB192","14ZB0115","51349011","41072235"],"award-info":[{"award-number":["11ZB192","14ZB0115","51349011","41072235"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11ZB192","14ZB0115","51349011","41072235"],"award-info":[{"award-number":["11ZB192","14ZB0115","51349011","41072235"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>We investigate the dynamics of a food-chain system with digest delay and periodic harvesting for the prey. By using the comparison theorem, small amplitude skills in the impulsive differential equation, and a special qualitative analysis method in the delay differential equation, we prove that there exists a predators-eradication periodic solution which is globally attractive and show that the pest population can be controlled under the economic threshold level and the system can be uniformly permanent when the harvest period<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mi>T<\/mml:mi><\/mml:mrow><\/mml:math>is long enough or the harvesting rate<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mrow><mml:mi>\u03b4<\/mml:mi><\/mml:mrow><\/mml:math>is not too large. Furthermore, we perform a series of numerical simulations to display the effects of the digest delay and periodic harvesting on the dynamic behavior of the food-chain system.<\/jats:p>","DOI":"10.1155\/2014\/168571","type":"journal-article","created":{"date-parts":[[2014,8,25]],"date-time":"2014-08-25T17:01:32Z","timestamp":1408986092000},"page":"1-12","source":"Crossref","is-referenced-by-count":0,"title":["Dynamical Behavior for a Food-Chain Model with Impulsive Harvest and Digest Delay"],"prefix":"10.1155","volume":"2014","author":[{"given":"Baodan","family":"Tian","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China"},{"name":"School of Science, Southwest University of Science and Technology, Mianyang 621010, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shouming","family":"Zhong","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ning","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Science, Southwest University of Science and Technology, Mianyang 621010, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yanhong","family":"Qiu","sequence":"additional","affiliation":[{"name":"School of Science, Southwest University of Science and Technology, Mianyang 621010, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1155\/2014\/919242"},{"issue":"4","key":"2","first-page":"239","volume":"33","year":"1988","journal-title":"Annual Review of Entomology"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.3934\/dcdsb.2004.4.759"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.bulm.2004.06.005"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2008.05.010"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.mcm.2009.10.008"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2010.04.018"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2011.03.002"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2006.12.001"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1142\/S1793524508000072"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1007\/s10910-009-9536-2"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2011.05.040"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2011.03.159"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2010.04.017"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1142\/0906"},{"year":"1993","key":"16"},{"year":"1993","key":"17"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/168571.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/168571.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/168571.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,7,28]],"date-time":"2016-07-28T10:02:41Z","timestamp":1469700161000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/168571\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":17,"alternative-id":["168571","168571"],"URL":"https:\/\/doi.org\/10.1155\/2014\/168571","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2014]]}}}