{"id":985,"date":"2013-03-13T20:44:31","date_gmt":"2013-03-13T20:44:31","guid":{"rendered":"http:\/\/www.complejidadsocial.udd.cl\/?p=985"},"modified":"2013-03-13T20:44:31","modified_gmt":"2013-03-13T20:44:31","slug":"analytical-studies-of-fronts-colonies-and-patterns-marcel-g-clercs-lecture","status":"publish","type":"post","link":"https:\/\/gobierno.udd.cl\/cics\/2013\/03\/13\/analytical-studies-of-fronts-colonies-and-patterns-marcel-g-clercs-lecture\/","title":{"rendered":"\u201cAnalytical studies of fronts, colonies, and patterns”. Marcel G. Clerc’s Lecture"},"content":{"rendered":"

\"posterClerc\"<\/p>\n

Marcel G. Clerc is a\u00a0Full Professor of the Physics department at Universidad de Chile.\u00a0He obtained his Ph. D. at University of Nice and Sophia Antipolis, Nice, France.<\/p>\n

Lecture: \u00a0\u201cAnalytical studies of fronts, colonies, and patterns: Combination of the Allee effect and nonlocal competition interactions\u201d<\/b><\/p>\n

When:<\/b> Tuesday,\u00a019th March, 13:30 hrs.<\/p>\n

Where<\/b>: Sala Penal, Universidad del Desarrollo, campus Rector Ernesto Silva Bafalluy, Av. La Plaza 680, Las Condes.<\/p>\n

Language:<\/b> Spanish (questions and commentaries in English are very\u00a0welcome).<\/p>\n

Abstract<\/b>: We present an analytic study of traveling fronts, localized colonies, and extended patterns arising from a reaction-diffusion equation which incorporates simultaneously two features: the well-known Allee effect and spatially nonlocal competition interactions. The former is an essential ingredient of most systems in population dynamics and involves extinction at low densities, growth at higher densities, and saturation at still higher densities. The latter feature is also highly relevant, particularly to biological systems, and goes beyond the unrealistic assumption of zero-range interactions. We show via exact analytic methods that the combination of the two features yields a rich diversity of phenomena and permits an understanding of a variety of issues including spontaneous appearance of colonies.<\/p>\n

Poster:
\n\"PDF\"<\/a><\/b><\/p>\n","protected":false},"excerpt":{"rendered":"

Marcel G. Clerc is a\u00a0Full Professor of the Physics department at Universidad de Chile.\u00a0He obtained his Ph. D. at University of Nice and Sophia Antipolis, Nice, France. Lecture: \u00a0\u201cAnalytical studies of fronts, colonies, and patterns: Combination of the Allee effect and nonlocal competition interactions\u201d When: Tuesday,\u00a019th March, 13:30 hrs. Where: Sala Penal, Universidad del Desarrollo, […]<\/p>\n","protected":false},"author":9192218,"featured_media":2736,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[8,2,3],"tags":[],"class_list":["post-985","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-calendar","category-events","category-news"],"yoast_head":"\n\u201cAnalytical studies of fronts, colonies, and patterns". Marcel G. Clerc's Lecture - Centro de Investigaci\u00f3n en Complejidad Social<\/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:\/\/gobierno.udd.cl\/cics\/2013\/03\/13\/analytical-studies-of-fronts-colonies-and-patterns-marcel-g-clercs-lecture\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u201cAnalytical studies of fronts, colonies, and patterns". Marcel G. Clerc's Lecture - Centro de Investigaci\u00f3n en Complejidad Social\" \/>\n<meta property=\"og:description\" content=\"Marcel G. Clerc is a\u00a0Full Professor of the Physics department at Universidad de Chile.\u00a0He obtained his Ph. D. at University of Nice and Sophia Antipolis, Nice, France. Lecture: \u00a0\u201cAnalytical studies of fronts, colonies, and patterns: Combination of the Allee effect and nonlocal competition interactions\u201d When: Tuesday,\u00a019th March, 13:30 hrs. Where: Sala Penal, Universidad del Desarrollo, […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/gobierno.udd.cl\/cics\/2013\/03\/13\/analytical-studies-of-fronts-colonies-and-patterns-marcel-g-clercs-lecture\/\" \/>\n<meta property=\"og:site_name\" content=\"Centro de Investigaci\u00f3n en Complejidad Social\" \/>\n<meta property=\"article:published_time\" content=\"2013-03-13T20:44:31+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/gobierno.udd.cl\/cics\/files\/2017\/01\/cicslectures.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1000\" \/>\n\t<meta property=\"og:image:height\" content=\"698\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"mariapia.kralemann\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"mariapia.kralemann\" \/>\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:\/\/gobierno.udd.cl\/cics\/2013\/03\/13\/analytical-studies-of-fronts-colonies-and-patterns-marcel-g-clercs-lecture\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/gobierno.udd.cl\/cics\/2013\/03\/13\/analytical-studies-of-fronts-colonies-and-patterns-marcel-g-clercs-lecture\/\"},\"author\":{\"name\":\"mariapia.kralemann\",\"@id\":\"https:\/\/gobierno.udd.cl\/cics\/#\/schema\/person\/129ad217f6071913cdd7514153362439\"},\"headline\":\"\u201cAnalytical studies of fronts, colonies, and patterns”. Marcel G. Clerc’s Lecture\",\"datePublished\":\"2013-03-13T20:44:31+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/gobierno.udd.cl\/cics\/2013\/03\/13\/analytical-studies-of-fronts-colonies-and-patterns-marcel-g-clercs-lecture\/\"},\"wordCount\":203,\"commentCount\":0,\"image\":{\"@id\":\"https:\/\/gobierno.udd.cl\/cics\/2013\/03\/13\/analytical-studies-of-fronts-colonies-and-patterns-marcel-g-clercs-lecture\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/gobierno.udd.cl\/cics\/files\/2017\/01\/cicslectures.jpg\",\"articleSection\":[\"CALENDAR\",\"EVENTS\",\"NEWS\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/gobierno.udd.cl\/cics\/2013\/03\/13\/analytical-studies-of-fronts-colonies-and-patterns-marcel-g-clercs-lecture\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/gobierno.udd.cl\/cics\/2013\/03\/13\/analytical-studies-of-fronts-colonies-and-patterns-marcel-g-clercs-lecture\/\",\"url\":\"https:\/\/gobierno.udd.cl\/cics\/2013\/03\/13\/analytical-studies-of-fronts-colonies-and-patterns-marcel-g-clercs-lecture\/\",\"name\":\"\u201cAnalytical studies of fronts, colonies, and patterns\\\". Marcel G. Clerc's Lecture - Centro de Investigaci\u00f3n en Complejidad Social\",\"isPartOf\":{\"@id\":\"https:\/\/gobierno.udd.cl\/cics\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/gobierno.udd.cl\/cics\/2013\/03\/13\/analytical-studies-of-fronts-colonies-and-patterns-marcel-g-clercs-lecture\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/gobierno.udd.cl\/cics\/2013\/03\/13\/analytical-studies-of-fronts-colonies-and-patterns-marcel-g-clercs-lecture\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/gobierno.udd.cl\/cics\/files\/2017\/01\/cicslectures.jpg\",\"datePublished\":\"2013-03-13T20:44:31+00:00\",\"author\":{\"@id\":\"https:\/\/gobierno.udd.cl\/cics\/#\/schema\/person\/129ad217f6071913cdd7514153362439\"},\"breadcrumb\":{\"@id\":\"https:\/\/gobierno.udd.cl\/cics\/2013\/03\/13\/analytical-studies-of-fronts-colonies-and-patterns-marcel-g-clercs-lecture\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/gobierno.udd.cl\/cics\/2013\/03\/13\/analytical-studies-of-fronts-colonies-and-patterns-marcel-g-clercs-lecture\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/gobierno.udd.cl\/cics\/2013\/03\/13\/analytical-studies-of-fronts-colonies-and-patterns-marcel-g-clercs-lecture\/#primaryimage\",\"url\":\"https:\/\/gobierno.udd.cl\/cics\/files\/2017\/01\/cicslectures.jpg\",\"contentUrl\":\"https:\/\/gobierno.udd.cl\/cics\/files\/2017\/01\/cicslectures.jpg\",\"width\":1000,\"height\":698},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/gobierno.udd.cl\/cics\/2013\/03\/13\/analytical-studies-of-fronts-colonies-and-patterns-marcel-g-clercs-lecture\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Portada\",\"item\":\"https:\/\/gobierno.udd.cl\/cics\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u201cAnalytical studies of fronts, colonies, and patterns”. Marcel G. Clerc’s Lecture\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/gobierno.udd.cl\/cics\/#website\",\"url\":\"https:\/\/gobierno.udd.cl\/cics\/\",\"name\":\"Centro de Investigaci\u00f3n en Complejidad Social\",\"description\":\"Facultad de Gobierno - Universidad del Desarrollo\",\"inLanguage\":\"en-US\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/gobierno.udd.cl\/cics\/#\/schema\/person\/129ad217f6071913cdd7514153362439\",\"name\":\"mariapia.kralemann\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/gobierno.udd.cl\/cics\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/bf4b4abb210f68fa431d2c576edd63353f267ddb163364553f04cf5df5f6cb32?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/bf4b4abb210f68fa431d2c576edd63353f267ddb163364553f04cf5df5f6cb32?s=96&d=mm&r=g\",\"caption\":\"mariapia.kralemann\"},\"url\":\"https:\/\/gobierno.udd.cl\/cics\/author\/mariapia-kralemann\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u201cAnalytical studies of fronts, colonies, and patterns\". Marcel G. Clerc's Lecture - Centro de Investigaci\u00f3n en Complejidad Social","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:\/\/gobierno.udd.cl\/cics\/2013\/03\/13\/analytical-studies-of-fronts-colonies-and-patterns-marcel-g-clercs-lecture\/","og_locale":"en_US","og_type":"article","og_title":"\u201cAnalytical studies of fronts, colonies, and patterns\". Marcel G. Clerc's Lecture - Centro de Investigaci\u00f3n en Complejidad Social","og_description":"Marcel G. Clerc is a\u00a0Full Professor of the Physics department at Universidad de Chile.\u00a0He obtained his Ph. D. at University of Nice and Sophia Antipolis, Nice, France. Lecture: \u00a0\u201cAnalytical studies of fronts, colonies, and patterns: Combination of the Allee effect and nonlocal competition interactions\u201d When: Tuesday,\u00a019th March, 13:30 hrs. Where: Sala Penal, Universidad del Desarrollo, […]","og_url":"https:\/\/gobierno.udd.cl\/cics\/2013\/03\/13\/analytical-studies-of-fronts-colonies-and-patterns-marcel-g-clercs-lecture\/","og_site_name":"Centro de Investigaci\u00f3n en Complejidad Social","article_published_time":"2013-03-13T20:44:31+00:00","og_image":[{"width":1000,"height":698,"url":"https:\/\/gobierno.udd.cl\/cics\/files\/2017\/01\/cicslectures.jpg","type":"image\/jpeg"}],"author":"mariapia.kralemann","twitter_card":"summary_large_image","twitter_misc":{"Written by":"mariapia.kralemann","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/gobierno.udd.cl\/cics\/2013\/03\/13\/analytical-studies-of-fronts-colonies-and-patterns-marcel-g-clercs-lecture\/#article","isPartOf":{"@id":"https:\/\/gobierno.udd.cl\/cics\/2013\/03\/13\/analytical-studies-of-fronts-colonies-and-patterns-marcel-g-clercs-lecture\/"},"author":{"name":"mariapia.kralemann","@id":"https:\/\/gobierno.udd.cl\/cics\/#\/schema\/person\/129ad217f6071913cdd7514153362439"},"headline":"\u201cAnalytical studies of fronts, colonies, and patterns”. Marcel G. Clerc’s Lecture","datePublished":"2013-03-13T20:44:31+00:00","mainEntityOfPage":{"@id":"https:\/\/gobierno.udd.cl\/cics\/2013\/03\/13\/analytical-studies-of-fronts-colonies-and-patterns-marcel-g-clercs-lecture\/"},"wordCount":203,"commentCount":0,"image":{"@id":"https:\/\/gobierno.udd.cl\/cics\/2013\/03\/13\/analytical-studies-of-fronts-colonies-and-patterns-marcel-g-clercs-lecture\/#primaryimage"},"thumbnailUrl":"https:\/\/gobierno.udd.cl\/cics\/files\/2017\/01\/cicslectures.jpg","articleSection":["CALENDAR","EVENTS","NEWS"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/gobierno.udd.cl\/cics\/2013\/03\/13\/analytical-studies-of-fronts-colonies-and-patterns-marcel-g-clercs-lecture\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/gobierno.udd.cl\/cics\/2013\/03\/13\/analytical-studies-of-fronts-colonies-and-patterns-marcel-g-clercs-lecture\/","url":"https:\/\/gobierno.udd.cl\/cics\/2013\/03\/13\/analytical-studies-of-fronts-colonies-and-patterns-marcel-g-clercs-lecture\/","name":"\u201cAnalytical studies of fronts, colonies, and patterns\". Marcel G. Clerc's Lecture - Centro de Investigaci\u00f3n en Complejidad Social","isPartOf":{"@id":"https:\/\/gobierno.udd.cl\/cics\/#website"},"primaryImageOfPage":{"@id":"https:\/\/gobierno.udd.cl\/cics\/2013\/03\/13\/analytical-studies-of-fronts-colonies-and-patterns-marcel-g-clercs-lecture\/#primaryimage"},"image":{"@id":"https:\/\/gobierno.udd.cl\/cics\/2013\/03\/13\/analytical-studies-of-fronts-colonies-and-patterns-marcel-g-clercs-lecture\/#primaryimage"},"thumbnailUrl":"https:\/\/gobierno.udd.cl\/cics\/files\/2017\/01\/cicslectures.jpg","datePublished":"2013-03-13T20:44:31+00:00","author":{"@id":"https:\/\/gobierno.udd.cl\/cics\/#\/schema\/person\/129ad217f6071913cdd7514153362439"},"breadcrumb":{"@id":"https:\/\/gobierno.udd.cl\/cics\/2013\/03\/13\/analytical-studies-of-fronts-colonies-and-patterns-marcel-g-clercs-lecture\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/gobierno.udd.cl\/cics\/2013\/03\/13\/analytical-studies-of-fronts-colonies-and-patterns-marcel-g-clercs-lecture\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/gobierno.udd.cl\/cics\/2013\/03\/13\/analytical-studies-of-fronts-colonies-and-patterns-marcel-g-clercs-lecture\/#primaryimage","url":"https:\/\/gobierno.udd.cl\/cics\/files\/2017\/01\/cicslectures.jpg","contentUrl":"https:\/\/gobierno.udd.cl\/cics\/files\/2017\/01\/cicslectures.jpg","width":1000,"height":698},{"@type":"BreadcrumbList","@id":"https:\/\/gobierno.udd.cl\/cics\/2013\/03\/13\/analytical-studies-of-fronts-colonies-and-patterns-marcel-g-clercs-lecture\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Portada","item":"https:\/\/gobierno.udd.cl\/cics\/"},{"@type":"ListItem","position":2,"name":"\u201cAnalytical studies of fronts, colonies, and patterns”. Marcel G. Clerc’s Lecture"}]},{"@type":"WebSite","@id":"https:\/\/gobierno.udd.cl\/cics\/#website","url":"https:\/\/gobierno.udd.cl\/cics\/","name":"Centro de Investigaci\u00f3n en Complejidad Social","description":"Facultad de Gobierno - Universidad del Desarrollo","inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/gobierno.udd.cl\/cics\/#\/schema\/person\/129ad217f6071913cdd7514153362439","name":"mariapia.kralemann","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/gobierno.udd.cl\/cics\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/bf4b4abb210f68fa431d2c576edd63353f267ddb163364553f04cf5df5f6cb32?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/bf4b4abb210f68fa431d2c576edd63353f267ddb163364553f04cf5df5f6cb32?s=96&d=mm&r=g","caption":"mariapia.kralemann"},"url":"https:\/\/gobierno.udd.cl\/cics\/author\/mariapia-kralemann\/"}]}},"featured_image_url":"https:\/\/gobierno.udd.cl\/cics\/files\/2017\/01\/cicslectures.jpg","_links":{"self":[{"href":"https:\/\/gobierno.udd.cl\/cics\/wp-json\/wp\/v2\/posts\/985","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gobierno.udd.cl\/cics\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gobierno.udd.cl\/cics\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gobierno.udd.cl\/cics\/wp-json\/wp\/v2\/users\/9192218"}],"replies":[{"embeddable":true,"href":"https:\/\/gobierno.udd.cl\/cics\/wp-json\/wp\/v2\/comments?post=985"}],"version-history":[{"count":0,"href":"https:\/\/gobierno.udd.cl\/cics\/wp-json\/wp\/v2\/posts\/985\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/gobierno.udd.cl\/cics\/wp-json\/wp\/v2\/media\/2736"}],"wp:attachment":[{"href":"https:\/\/gobierno.udd.cl\/cics\/wp-json\/wp\/v2\/media?parent=985"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gobierno.udd.cl\/cics\/wp-json\/wp\/v2\/categories?post=985"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gobierno.udd.cl\/cics\/wp-json\/wp\/v2\/tags?post=985"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}