{"id":82398,"date":"2022-10-31T01:09:04","date_gmt":"2022-10-30T22:09:04","guid":{"rendered":"https:\/\/azbuki.bg\/?p=82398"},"modified":"2022-10-31T01:09:04","modified_gmt":"2022-10-30T22:09:04","slug":"mathematical-modelling-of-the-transmission-mechanism-of-plamodium-falciparum","status":"publish","type":"post","link":"https:\/\/philosophy.azbuki.bg\/en\/uncategorized\/mathematical-modelling-of-the-transmission-mechanism-of-plamodium-falciparum\/","title":{"rendered":"Mathematical Modelling of the Transmission Mechanism of Plamodium Falciparum"},"content":{"rendered":"

Onitilo S. A.1), Usman M. A.1), Daniel D. O.2)*, Odetunde O. S.1),<\/strong>
\nOgunwobi Z. O.1),Hammed F. A.1),<\/strong>
\nOlubanwo O. O.1), Ajani A. S.1), Sanusi A. S.3), Haruna A. H.1)<\/strong>
\n1)Department of Mathematical Sciences, Olabisi Onabanjo University (Nigeria)<\/em>
\n2)Department of Mathematics and Computer Science, Southwestern University (Nigeria)<\/em>
\n3)Department of Plant Science, Olabisi Onabanjo University (Nigeria)<\/em>
\n*Corresponding Author: deborah.daniel@mysun.edu.ng<\/em><\/p>\n

https:\/\/doi.org\/10.53656\/nat2022-5.03<\/a><\/p>\n

 <\/p>\n

Abstract.<\/strong> In this paper, a deterministic model SEIR-SEI model of malaria
\ntransmission consisting of systems of ordinary differential equations, describing
\nthe transmission of malaria between humans and female anopheles mosquitoes, the
\ndefinitive hosts of Plasmodium parasites, is examined. The reproduction number is
\nestimated and the model equilibria and their stabilities are discussed. The diseasefree
\nequilibrium for the model is found to be locally asymptotically stable if the
\nreproduction number is less than one and unstable if the reproduction number is
\ngreater than one. Numerical simulations are carried out to demonstrate the analytical
\nresults, and suggest that malaria can be controlled by reducing the contact rate
\nbetween human and mosquito, the use of active malaria drugs, insecticides and the
\nuse of mosquito treated nets.<\/p>\n

Keywords:<\/em> SEIR-SEI model; malaria; plasmodium; parasite; anopheles;
\ntransmission mechanism; stability, reproduction number, endemic equilibrium<\/p>\nLog in to read the full text<\/a>","protected":false},"excerpt":{"rendered":"

Onitilo S. A.1), Usman M. A.1), Daniel D. O.2)*, Odetunde O. S.1), Ogunwobi Z. O.1),Hammed F. A.1), Olubanwo O. O.1), Ajani A. S.1), Sanusi A. S.3), Haruna A. H.1) 1)Department of Mathematical Sciences, Olabisi Onabanjo University (Nigeria) 2)Department of Mathematics and Computer Science, Southwestern University (Nigeria) 3)Department of Plant Science, Olabisi Onabanjo University (Nigeria) *Corresponding […]<\/p>","protected":false},"author":124332423426818,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jnews-multi-image_gallery":[],"jnews_single_post":{"subtitle":"","format":"standard","video":"","gallery":"","source_name":"","source_url":"","via_name":"","via_url":"","override_template":"0","override":[{"single_blog_custom":"","parallax":"0","fullscreen":"0","sidebar":"","second_sidebar":"","sticky_sidebar":"0","share_position":"","share_float_style":"","show_share_counter":"0","show_view_counter":"0","show_featured":"0","show_post_meta":"0","show_post_author":"0","show_post_author_image":"0","show_post_date":"0","post_date_format":"","post_date_format_custom":"","show_post_category":"0","show_post_reading_time":"0","post_reading_time_wpm":"","show_post_tag":"0","show_prev_next_post":"0","show_popup_post":"0","number_popup_post":"1","show_author_box":"0","show_post_related":"0","show_inline_post_related":"0"}],"override_image_size":"0","image_override":[{"single_post_thumbnail_size":"","single_post_gallery_size":""}],"trending_post":"0","trending_post_position":"","trending_post_label":""},"jnews_primary_category":{"id":""}},"categories":[1],"tags":[],"yoast_head":"\nMathematical Modelling of the Transmission Mechanism of Plamodium Falciparum - \u0410\u0437-\u0431\u0443\u043a\u0438<\/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:\/\/foreignlanguages.azbuki.bg\/uncategorized\/mathematical-modelling-of-the-transmission-mechanism-of-plamodium-falciparum\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Mathematical Modelling of the Transmission Mechanism of Plamodium Falciparum - \u0410\u0437-\u0431\u0443\u043a\u0438\" \/>\n<meta property=\"og:description\" content=\"Onitilo S. 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H.1) 1)Department of Mathematical Sciences, Olabisi Onabanjo University (Nigeria) 2)Department of Mathematics and Computer Science, Southwestern University (Nigeria) 3)Department of Plant Science, Olabisi Onabanjo University (Nigeria) *Corresponding […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/foreignlanguages.azbuki.bg\/uncategorized\/mathematical-modelling-of-the-transmission-mechanism-of-plamodium-falciparum\/\" \/>\n<meta property=\"og:site_name\" content=\"\u0410\u0437-\u0431\u0443\u043a\u0438\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/Azbuki55\/\" \/>\n<meta property=\"article:published_time\" content=\"2022-10-30T22:09:04+00:00\" \/>\n<meta name=\"author\" content=\"v.genkov@azbuki.bg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"v.genkov@azbuki.bg\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/foreignlanguages.azbuki.bg\/uncategorized\/mathematical-modelling-of-the-transmission-mechanism-of-plamodium-falciparum\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/foreignlanguages.azbuki.bg\/uncategorized\/mathematical-modelling-of-the-transmission-mechanism-of-plamodium-falciparum\/\"},\"author\":{\"name\":\"v.genkov@azbuki.bg\",\"@id\":\"https:\/\/vocedu.azbuki.bg\/en\/#\/schema\/person\/92cc38d6a11fb032bf6299efd22a71c5\"},\"headline\":\"Mathematical Modelling of the Transmission Mechanism of Plamodium Falciparum\",\"datePublished\":\"2022-10-30T22:09:04+00:00\",\"dateModified\":\"2022-10-30T22:09:04+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/foreignlanguages.azbuki.bg\/uncategorized\/mathematical-modelling-of-the-transmission-mechanism-of-plamodium-falciparum\/\"},\"wordCount\":241,\"publisher\":{\"@id\":\"https:\/\/vocedu.azbuki.bg\/en\/#organization\"},\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/foreignlanguages.azbuki.bg\/uncategorized\/mathematical-modelling-of-the-transmission-mechanism-of-plamodium-falciparum\/\",\"url\":\"https:\/\/foreignlanguages.azbuki.bg\/uncategorized\/mathematical-modelling-of-the-transmission-mechanism-of-plamodium-falciparum\/\",\"name\":\"Mathematical Modelling of the Transmission Mechanism of Plamodium Falciparum - 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