{"id":38990,"date":"2021-10-11T20:10:13","date_gmt":"2021-10-11T17:10:13","guid":{"rendered":"https:\/\/ihcoedu.uobaghdad.edu.iq\/?p=38990"},"modified":"2021-10-27T11:46:14","modified_gmt":"2021-10-27T08:46:14","slug":"%d9%82%d8%b3%d9%85-%d8%a7%d9%84%d8%b1%d9%8a%d8%a7%d8%b6%d9%8a%d8%a7%d8%aa-%d9%8a%d9%86%d8%a7%d9%82%d8%b4-%d8%b1%d8%b3%d8%a7%d9%84%d8%a9-%d9%85%d8%a7%d8%ac%d8%b3%d8%aa%d9%8a%d8%b1-%d8%aa%d8%a8%d8%ad-21","status":"publish","type":"post","link":"https:\/\/ihcoedu.uobaghdad.edu.iq\/?p=38990","title":{"rendered":"\u0645\u0646\u0627\u0642\u0634\u0629 \u0631\u0633\u0627\u0644\u0629 \u0645\u0627\u062c\u0633\u062a\u064a\u0631 \u062a\u0628\u062d\u062b \u0641\u064a \u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a\u0627\u062a \u0646\u0638\u0627\u0645 \u0627\u0644\u0639\u0648\u0627\u0644\u0642 \u0627\u0644\u0646\u0628\u0627\u062a\u064a\u0629 &#8211; \u0627\u0644\u0639\u0648\u0627\u0644\u0642 \u0627\u0644\u062d\u064a\u0648\u0627\u0646\u064a\u0629"},"content":{"rendered":"<h4 style=\"text-align: justify;\"><\/h4>\n<h4 style=\"text-align: justify;\"><span style=\"color: #000080;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-38995\" src=\"https:\/\/ihcoedu.uobaghdad.edu.iq\/wp-content\/uploads\/sites\/27\/2021\/10\/\u0631\u0624\u0649-\u062d\u0627\u062a\u0645-\u0637\u0627\u0644\u0628-2.jpg\" alt=\"\" width=\"1024\" height=\"683\" srcset=\"https:\/\/ihcoedu.uobaghdad.edu.iq\/wp-content\/uploads\/sites\/27\/2021\/10\/\u0631\u0624\u0649-\u062d\u0627\u062a\u0645-\u0637\u0627\u0644\u0628-2.jpg 1024w, https:\/\/ihcoedu.uobaghdad.edu.iq\/wp-content\/uploads\/sites\/27\/2021\/10\/\u0631\u0624\u0649-\u062d\u0627\u062a\u0645-\u0637\u0627\u0644\u0628-2-300x200.jpg 300w, https:\/\/ihcoedu.uobaghdad.edu.iq\/wp-content\/uploads\/sites\/27\/2021\/10\/\u0631\u0624\u0649-\u062d\u0627\u062a\u0645-\u0637\u0627\u0644\u0628-2-768x512.jpg 768w, 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\u0627\u0623\u0644\u0633\u0645\u0627\u0643 \u0641\u064a \u0628\u064a\u0626\u0629 \u0645\u0644\u0648\u062b\u0629 ) \u0644\u0644\u0637\u0627\u0644\u0628\u0629 ( \u0631\u0624\u0649 \u062d\u0627\u062a\u0645 \u0637\u0627\u0644\u0628 \u0639\u0644\u0648\u0627\u0646 ) \u0627\u0644\u062a\u064a \u0627\u0646\u062c\u0632\u062a\u0647\u0627 \u0628\u0627\u0634\u0631\u0627\u0641 \u0645\u0634\u062a\u0631\u0643 \u0644\u0643\u0644 \u0645\u0646 \u0627\u0644\u062a\u062f\u0631\u064a\u0633\u064a\u0629 \u0641\u064a \u0627\u0644\u0642\u0633\u0645 ( \u0645.\u062f. \u0645\u064a \u0645\u062d\u0645\u062f \u0647\u0644\u0627\u0644 ) \u0648\u0627\u0644\u062a\u062f\u0631\u064a\u0633\u064a \u0641\u064a \u0643\u0644\u064a\u0629 \u0627\u0644\u0639\u0644\u0648\u0645 \/ \u062c\u0627\u0645\u0639\u0629 \u0628\u063a\u062f\u0627\u062f ( \u0623.\u062f. \u0631\u0627\u0626\u062f \u0643\u0627\u0645\u0644 \u0646\u0627\u062c\u064a ) \u0648\u0646\u0648\u0642\u0634\u062a \u0645\u0646 \u0642\u0628\u0644 \u0623\u0639\u0636\u0627\u0621 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\u0639\u0636\u0648\u0627\u064b \u0648 \u0645\u0634\u0631\u0641\u0627\u064b )<\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000080;\">\u00a0\u0623.\u062f. \u0631\u0627\u0626\u062f \u0643\u0627\u0645\u0644 \u0646\u0627\u062c\u064a\u00a0 ( \u0639\u0636\u0648\u0627\u064b \u0648 \u0645\u0634\u0631\u0641\u0627\u064b )<\/span><\/h4>\n<\/li>\n<\/ul>\n<h4 style=\"text-align: justify;\"><span style=\"color: #000080;\">\u0648\u064a\u0647\u062f\u0641 \u0627\u0644\u0628\u062d\u062b \u0627\u0644\u0649 \u0627\u0642\u062a\u0631\u0627\u062d \u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0633\u0644\u0633\u0644\u0629 \u0627\u0644\u063a\u0630\u0627\u0626\u064a\u0629 \u0627\u0644\u0645\u0627\u0626\u064a\u0629 \u060c \u0627\u0644\u0630\u064a \u064a\u0634\u0645\u0644 \u0627\u0644\u0639\u0648\u0627\u0644\u0642 \u0627\u0644\u0646\u0628\u0627\u062a\u064a\u0629 \u0648\u0627\u0644\u0639\u0648\u0627\u0644\u0642 \u0627\u0644\u062d\u064a\u0648\u0627\u0646\u064a\u0629 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\u0627\u0644\u0645\u0648\u062c\u0628\u0629. \u064a\u062a\u0645 \u0627\u0644\u0643\u0634\u0641 \u0639\u0646 \u0648\u062c\u0648\u062f \u0627\u0644\u0641\u0648\u0636\u0649 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0645\u062e\u0637\u0637\u0627\u062a \u0627\u0644\u062a\u0634\u0639\u0628. \u062a\u0638\u0647\u0631 \u0627\u0644\u0645\u062d\u0627\u0643\u0627\u0629 \u0627\u0644\u0639\u062f\u062f\u064a\u0629 \u0623\u0646 \u0627\u0644\u0633\u0644\u0633\u0644\u0629 \u0627\u0644\u063a\u0630\u0627\u0626\u064a\u0629 \u0644\u062f\u064a\u0647\u0627 \u062f\u064a\u0646\u0627\u0645\u064a\u0627\u062a \u063a\u0646\u064a\u0629 \u0628\u0645\u0627 \u0641\u064a \u0630\u0644\u0643 \u0627\u0644\u0641\u0648\u0636\u0649. \u0639\u0627\u0644\u0648\u0629 \u0639\u0644\u0649 \u0630\u0644\u0643 \u060c \u0641\u0625\u0646 \u0648\u062c\u0648\u062f \u0627\u0644\u0645\u0648\u0627\u062f \u0627\u0644\u0633\u0627\u0645\u0629 \u064a\u0639\u0645\u0644 \u0643\u0639\u0627\u0645\u0644 \u0627\u0633\u062a\u0642\u0631\u0627\u0631 \u0644\u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a\u0629 \u0627\u0644\u0646\u0645\u0648\u0630\u062c.<\/span><\/h3>\n<hr \/>\n<h3 style=\"text-align: left;\"><span style=\"color: #993366;\">\u00a0The dynamics of the phytoplankton\u2013zooplankton-fish system in the contaminated environment<\/span><\/h3>\n<h3 style=\"text-align: left;\"><span style=\"color: #993366;\">Roaam Hatem Talib Alwan<\/span><\/h3>\n<h3 style=\"text-align: left;\"><span style=\"color: #993366;\">Supervised by Lecturer Dr. May Mohammed Helal and Prof. Dr. Raid KamelNaji<\/span><\/h3>\n<h3 style=\"text-align: left;\"><span style=\"color: #993366;\">The aim of research<\/span><\/h3>\n<h3 style=\"text-align: left;\"><span style=\"color: #993366;\">The aquatic food chain model, involving Phytoplankton, Zooplankton, and Fish, in the contaminated environment is proposed. An investigation of the dynamical behavior of the model is carried out. Complex dynamics are observed including chaos.<\/span><\/h3>\n<h3 style=\"text-align: left;\"><span style=\"color: #993366;\">Abstract<\/span><\/h3>\n<h3 style=\"text-align: left;\"><span style=\"color: #993366;\">\u00a0In this research, the aquatic food chain model, consisting of Phytoplankton, Zooplankton, and fish, in the contaminated environment is proposed and studied. Modified Leslie\u2013Gower model with Holling type IV functional response are used to describe the growth of fish and the food transition throughout the food chain, respectively. It is assumed that the toxic substance affects directly the Phytoplankton and indirectly the other species. The local stability analysis of all possible equilibrium points is done. The persistence conditions of the model are established. The basin of attraction for each point is specified using the Lyapunov function. Bifurcation analysis near the coexistence equilibrium point is investigated. Detecting the existence of chaos is carried out using bifurcation diagrams. Numerical simulation shows that the food chain has rich dynamics including chaos. Moreover, the existence of toxic substances works as a stabilizing factor in the model<\/span><\/h3>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0646\u0627\u0642\u0634 \u0642\u0633\u0645 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0641\u064a \u0643\u0644\u064a\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0629 \u0644\u0644\u0639\u0644\u0648\u0645 \u0627\u0644\u0635\u0631\u0641\u0629 (\u0627\u0628\u0646 \u0627\u0644\u0647\u064a\u062b\u0645) \u0631\u0633\u0627\u0644\u0629 \u0627\u0644\u0645\u0627\u062c\u0633\u062a\u064a\u0631 \u0627\u0644\u0645\u0648\u0633\u0648\u0645\u0629 ( \u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a\u0627\u062a \u0646\u0638\u0627\u0645 \u0627\u0644\u0639\u0648\u0627\u0644\u0642 \u0627\u0644\u0646\u0628\u0627\u062a\u064a\u0629 &#8211; \u0627\u0644\u0639\u0648\u0627\u0644\u0642&#8230;.<a class=\"cz_readmore\" href=\"https:\/\/ihcoedu.uobaghdad.edu.iq\/?p=38990\"><i class=\"fa fa-angle-left\" aria-hidden=\"true\"><\/i><span>\u0627\u0644\u0645\u0632\u064a\u062f<\/span><\/a><\/p>\n","protected":false},"author":25,"featured_media":38994,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_lmt_disableupdate":"no","_lmt_disable":"","footnotes":""},"categories":[44,7,16],"tags":[23,49],"class_list":["post-38990","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-44","category-7","category-16","tag-ihcoedu","tag-math"],"modified_by":"ihcoedu","_links":{"self":[{"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/posts\/38990","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/users\/25"}],"replies":[{"embeddable":true,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=38990"}],"version-history":[{"count":0,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/posts\/38990\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/media\/38994"}],"wp:attachment":[{"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=38990"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=38990"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=38990"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}