{"id":3066,"date":"2022-10-14T12:26:12","date_gmt":"2022-10-14T12:26:12","guid":{"rendered":"http:\/\/www.alutroha.com\/?page_id=3066"},"modified":"2022-10-14T12:26:12","modified_gmt":"2022-10-14T12:26:12","slug":"mod%d8%aa%d8%b7%d8%a8%d9%8a%d9%82%d8%a7%d8%aa-%d9%86%d8%b8%d8%b1%d9%8a%d8%a9-%d8%a7%d9%84%d8%a7%d8%b9%d8%af%d8%a7%d8%af-%d9%81%d9%8a-%d8%a7%d9%8a%d8%ac%d8%a7%d8%af-%d8%af%d8%a7%d9%84%d8%a9","status":"publish","type":"page","link":"https:\/\/www.alutroha.com\/?page_id=3066","title":{"rendered":"Mod\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u0639\u062f\u0627\u062f \u0641\u064a \u0627\u064a\u062c\u0627\u062f \u062f\u0627\u0644\u0629"},"content":{"rendered":"<p><strong>Mod<\/strong><strong>\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u0639\u062f\u0627\u062f \u0641\u064a \u0627\u064a\u062c\u0627\u062f \u062f\u0627\u0644\u0629\u00a0<\/strong><\/p>\n<p><strong>\u0628\u0644\u0627\u0644 \u0639\u0632\u0627\u0648\u064a \u064a\u0627\u0633\u064a\u0646<\/strong><\/p>\n<p><strong>\u062f\u064a\u0648\u0627\u0646 \u0627\u0644\u0648\u0642\u0641 \u0627\u0644\u0633\u0646\u064a \/ \u062f\u0627\u0626\u0631\u0629 \u0627\u0644\u062a\u0639\u0644\u064a\u0645 \u0627\u0644\u062f\u064a\u0646\u064a \u0648\u0627\u0644\u062f\u0631\u0627\u0633\u0627\u062a \u0627\u0644\u0627\u0633\u0644\u0627\u0645\u064a\u0629 <\/strong><\/p>\n<p><strong>Abstract<\/strong><\/p>\n<p>The purpose of the research is to learn the methods of extracting the mod function, how to find it for any number according to the given criterion and in more than one way and according to the student\u2019s study level (elementary or intermediate or preparatory) or even at the level of university or institute studies. We also proved that the solutions are positive and specific and that the subsystems have no limits periodically, as well as we searched for all the points of equilibrium with their necessary and sufficient conditions discussed. Also the local and global stability of each of the equilibrium points.<\/p>\n<p><strong>Keywords<\/strong>:mod Function, stability, harvesting, disease.<\/p>\n<p><iframe loading=\"lazy\" src=\"https:\/\/drive.google.com\/file\/d\/1PV6xGAu4DhlzthsgxHP1UAqYb318EPXu\/preview\" width=\"640\" height=\"480\"><\/iframe><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Mod\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u0639\u062f\u0627\u062f \u0641\u064a \u0627\u064a\u062c\u0627\u062f \u062f\u0627\u0644\u0629\u00a0 \u0628\u0644\u0627\u0644 \u0639\u0632\u0627\u0648\u064a \u064a\u0627\u0633\u064a\u0646 \u062f\u064a\u0648\u0627\u0646 \u0627\u0644\u0648\u0642\u0641 \u0627\u0644\u0633\u0646\u064a \/ \u062f\u0627\u0626\u0631\u0629 \u0627\u0644\u062a\u0639\u0644\u064a\u0645 \u0627\u0644\u062f\u064a\u0646\u064a \u0648\u0627\u0644\u062f\u0631\u0627\u0633\u0627\u062a \u0627\u0644\u0627\u0633\u0644\u0627\u0645\u064a\u0629 Abstract The purpose of the research is to learn the methods of extracting the mod function, how to find it for any number according to the given criterion and in more than one way and according to &hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-3066","page","type-page","status-publish",""],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v18.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Mod\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u0639\u062f\u0627\u062f \u0641\u064a \u0627\u064a\u062c\u0627\u062f \u062f\u0627\u0644\u0629 - \u0645\u062c\u0644\u0629 \u0627\u0644\u0627\u0637\u0631\u0648\u062d\u0629 \u0627\u0644\u0639\u0644\u0645\u064a\u0629 \u0627\u0644\u0645\u062d\u0643\u0645\u0629<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.alutroha.com\/?page_id=3066\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Mod\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u0639\u062f\u0627\u062f \u0641\u064a \u0627\u064a\u062c\u0627\u062f \u062f\u0627\u0644\u0629 - \u0645\u062c\u0644\u0629 \u0627\u0644\u0627\u0637\u0631\u0648\u062d\u0629 \u0627\u0644\u0639\u0644\u0645\u064a\u0629 \u0627\u0644\u0645\u062d\u0643\u0645\u0629\" \/>\n<meta property=\"og:description\" content=\"Mod\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u0639\u062f\u0627\u062f \u0641\u064a \u0627\u064a\u062c\u0627\u062f \u062f\u0627\u0644\u0629\u00a0 \u0628\u0644\u0627\u0644 \u0639\u0632\u0627\u0648\u064a \u064a\u0627\u0633\u064a\u0646 \u062f\u064a\u0648\u0627\u0646 \u0627\u0644\u0648\u0642\u0641 \u0627\u0644\u0633\u0646\u064a \/ \u062f\u0627\u0626\u0631\u0629 \u0627\u0644\u062a\u0639\u0644\u064a\u0645 \u0627\u0644\u062f\u064a\u0646\u064a \u0648\u0627\u0644\u062f\u0631\u0627\u0633\u0627\u062a \u0627\u0644\u0627\u0633\u0644\u0627\u0645\u064a\u0629 Abstract The purpose of the research is to learn the methods of extracting the mod function, how to find it for any number according to the given criterion and in more than one way and according to &hellip;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.alutroha.com\/?page_id=3066\" \/>\n<meta property=\"og:site_name\" content=\"\u0645\u062c\u0644\u0629 \u0627\u0644\u0627\u0637\u0631\u0648\u062d\u0629 \u0627\u0644\u0639\u0644\u0645\u064a\u0629 \u0627\u0644\u0645\u062d\u0643\u0645\u0629\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.alutroha.com\/#website\",\"url\":\"https:\/\/www.alutroha.com\/\",\"name\":\"\u0645\u062c\u0644\u0629 \u0627\u0644\u0627\u0637\u0631\u0648\u062d\u0629 \u0627\u0644\u0639\u0644\u0645\u064a\u0629 \u0627\u0644\u0645\u062d\u0643\u0645\u0629\",\"description\":\"\u0627\u0644\u0627\u0637\u0631\u0648\u062d\u0647 \u0644\u0644\u0646\u0634\u0631 \u0627\u0644\u0639\u0644\u0645\u064a\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.alutroha.com\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.alutroha.com\/?page_id=3066#webpage\",\"url\":\"https:\/\/www.alutroha.com\/?page_id=3066\",\"name\":\"Mod\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u0639\u062f\u0627\u062f \u0641\u064a \u0627\u064a\u062c\u0627\u062f \u062f\u0627\u0644\u0629 - \u0645\u062c\u0644\u0629 \u0627\u0644\u0627\u0637\u0631\u0648\u062d\u0629 \u0627\u0644\u0639\u0644\u0645\u064a\u0629 \u0627\u0644\u0645\u062d\u0643\u0645\u0629\",\"isPartOf\":{\"@id\":\"https:\/\/www.alutroha.com\/#website\"},\"datePublished\":\"2022-10-14T12:26:12+00:00\",\"dateModified\":\"2022-10-14T12:26:12+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/www.alutroha.com\/?page_id=3066#breadcrumb\"},\"inLanguage\":\"en\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.alutroha.com\/?page_id=3066\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.alutroha.com\/?page_id=3066#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/www.alutroha.com\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Mod\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u0639\u062f\u0627\u062f \u0641\u064a \u0627\u064a\u062c\u0627\u062f \u062f\u0627\u0644\u0629\"}]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Mod\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u0639\u062f\u0627\u062f \u0641\u064a \u0627\u064a\u062c\u0627\u062f \u062f\u0627\u0644\u0629 - \u0645\u062c\u0644\u0629 \u0627\u0644\u0627\u0637\u0631\u0648\u062d\u0629 \u0627\u0644\u0639\u0644\u0645\u064a\u0629 \u0627\u0644\u0645\u062d\u0643\u0645\u0629","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.alutroha.com\/?page_id=3066","og_locale":"en_US","og_type":"article","og_title":"Mod\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u0639\u062f\u0627\u062f \u0641\u064a \u0627\u064a\u062c\u0627\u062f \u062f\u0627\u0644\u0629 - \u0645\u062c\u0644\u0629 \u0627\u0644\u0627\u0637\u0631\u0648\u062d\u0629 \u0627\u0644\u0639\u0644\u0645\u064a\u0629 \u0627\u0644\u0645\u062d\u0643\u0645\u0629","og_description":"Mod\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u0639\u062f\u0627\u062f \u0641\u064a \u0627\u064a\u062c\u0627\u062f \u062f\u0627\u0644\u0629\u00a0 \u0628\u0644\u0627\u0644 \u0639\u0632\u0627\u0648\u064a \u064a\u0627\u0633\u064a\u0646 \u062f\u064a\u0648\u0627\u0646 \u0627\u0644\u0648\u0642\u0641 \u0627\u0644\u0633\u0646\u064a \/ \u062f\u0627\u0626\u0631\u0629 \u0627\u0644\u062a\u0639\u0644\u064a\u0645 \u0627\u0644\u062f\u064a\u0646\u064a \u0648\u0627\u0644\u062f\u0631\u0627\u0633\u0627\u062a \u0627\u0644\u0627\u0633\u0644\u0627\u0645\u064a\u0629 Abstract The purpose of the research is to learn the methods of extracting the mod function, how to find it for any number according to the given criterion and in more than one way and according to &hellip;","og_url":"https:\/\/www.alutroha.com\/?page_id=3066","og_site_name":"\u0645\u062c\u0644\u0629 \u0627\u0644\u0627\u0637\u0631\u0648\u062d\u0629 \u0627\u0644\u0639\u0644\u0645\u064a\u0629 \u0627\u0644\u0645\u062d\u0643\u0645\u0629","twitter_card":"summary_large_image","twitter_misc":{"Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebSite","@id":"https:\/\/www.alutroha.com\/#website","url":"https:\/\/www.alutroha.com\/","name":"\u0645\u062c\u0644\u0629 \u0627\u0644\u0627\u0637\u0631\u0648\u062d\u0629 \u0627\u0644\u0639\u0644\u0645\u064a\u0629 \u0627\u0644\u0645\u062d\u0643\u0645\u0629","description":"\u0627\u0644\u0627\u0637\u0631\u0648\u062d\u0647 \u0644\u0644\u0646\u0634\u0631 \u0627\u0644\u0639\u0644\u0645\u064a","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.alutroha.com\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en"},{"@type":"WebPage","@id":"https:\/\/www.alutroha.com\/?page_id=3066#webpage","url":"https:\/\/www.alutroha.com\/?page_id=3066","name":"Mod\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u0639\u062f\u0627\u062f \u0641\u064a \u0627\u064a\u062c\u0627\u062f \u062f\u0627\u0644\u0629 - \u0645\u062c\u0644\u0629 \u0627\u0644\u0627\u0637\u0631\u0648\u062d\u0629 \u0627\u0644\u0639\u0644\u0645\u064a\u0629 \u0627\u0644\u0645\u062d\u0643\u0645\u0629","isPartOf":{"@id":"https:\/\/www.alutroha.com\/#website"},"datePublished":"2022-10-14T12:26:12+00:00","dateModified":"2022-10-14T12:26:12+00:00","breadcrumb":{"@id":"https:\/\/www.alutroha.com\/?page_id=3066#breadcrumb"},"inLanguage":"en","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.alutroha.com\/?page_id=3066"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/www.alutroha.com\/?page_id=3066#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/www.alutroha.com\/"},{"@type":"ListItem","position":2,"name":"Mod\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0627\u0639\u062f\u0627\u062f \u0641\u064a \u0627\u064a\u062c\u0627\u062f \u062f\u0627\u0644\u0629"}]}]}},"_links":{"self":[{"href":"https:\/\/www.alutroha.com\/index.php?rest_route=\/wp\/v2\/pages\/3066"}],"collection":[{"href":"https:\/\/www.alutroha.com\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.alutroha.com\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.alutroha.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.alutroha.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3066"}],"version-history":[{"count":1,"href":"https:\/\/www.alutroha.com\/index.php?rest_route=\/wp\/v2\/pages\/3066\/revisions"}],"predecessor-version":[{"id":3067,"href":"https:\/\/www.alutroha.com\/index.php?rest_route=\/wp\/v2\/pages\/3066\/revisions\/3067"}],"wp:attachment":[{"href":"https:\/\/www.alutroha.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3066"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}