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By using the geometry theory of semicontinuous dynamic system, we obtain the existence, uniqueness, and stability of the periodic solution and analyse the dynamic phenomenon of homoclinic bifurcation of the first system by choosing the harvesting rate<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mi>\u03b2<\/mml:mi><\/mml:mrow><\/mml:math>as control parameter. Besides, we also study the homoclinic bifurcation of the second system about parameter<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mrow><mml:mi>\u03b4<\/mml:mi><\/mml:mrow><\/mml:math>on the basis of the theory of rotated vector field. Finally, numerical simulations are presented to illustrate the results.<\/jats:p>","DOI":"10.1155\/2014\/803764","type":"journal-article","created":{"date-parts":[[2014,3,30]],"date-time":"2014-03-30T08:01:14Z","timestamp":1396166474000},"page":"1-11","source":"Crossref","is-referenced-by-count":2,"title":["Periodic Solutions and Homoclinic Bifurcations of Two Predator-Prey Systems with Nonmonotonic Functional Response and Impulsive Harvesting"],"prefix":"10.1155","volume":"2014","author":[{"given":"Mingzhan","family":"Huang","sequence":"first","affiliation":[{"name":"Research Institute of Forest Resource Information Techniques, Chinese Academy of Forestry, Beijing 100091, China"},{"name":"College of Mathematics and Information Science, Xinyang Normal University, Xinyang 464000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xinyu","family":"Song","sequence":"additional","affiliation":[{"name":"College of Mathematics and Information Science, Xinyang Normal University, Xinyang 464000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"year":"1965","key":"1"},{"key":"2","first-page":"123","volume":"51","year":"1972","journal-title":"Zoological Journal of the Linnean Society"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1137\/0148033"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1137\/S0036139999361896"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/S0092-8240(86)90004-2"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/0362-546X(90)90112-T"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1007\/s002850050095"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1002\/bit.260120504"},{"key":"9","first-page":"1","volume":"12","year":"2011","journal-title":"Journal of Beihua University"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.matcom.2009.01.003"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2006.03.054"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.ecolmodel.2007.04.007"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2005.03.003"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2005.09.077"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2008.05.041"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-013-0834-7"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1142\/S1793524512500593"},{"year":"1984","key":"18"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/803764.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/803764.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/803764.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,11]],"date-time":"2020-05-11T21:32:40Z","timestamp":1589232760000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/803764\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":18,"alternative-id":["803764","803764"],"URL":"https:\/\/doi.org\/10.1155\/2014\/803764","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2014]]}}}