Extinction and the Allee Effect in an Age-structured Ricker Population Model with Inter-stage Interaction
We study the evolution in discrete time of certain age-structured populations, such as adults and juveniles, with a Ricker fitness function. We determine conditions for the convergence of orbits to the origin (extinction) in the presence of the Allee effect and time-dependent vital rates. We show th...
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| creator | Lazaryan, N Sedaghat, H |
| description | We study the evolution in discrete time of certain age-structured
populations, such as adults and juveniles, with a Ricker fitness function. We
determine conditions for the convergence of orbits to the origin (extinction)
in the presence of the Allee effect and time-dependent vital rates. We show
that when stages interact, they may survive in the absence of interior fixed
points, a surprising situation that is impossible without inter-stage
interactions. We also examine the shift in the interior Allee equilibrium
caused by the occurrence of interactions between stages and find that the
extinction or Allee threshold does not extend to the new boundaries set by the
shift in equilibrium, i.e. no interior equilibria are on the extinction
threshold. |
| doi_str_mv | 10.48550/arxiv.1702.02889 |
| format | Article |
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populations, such as adults and juveniles, with a Ricker fitness function. We
determine conditions for the convergence of orbits to the origin (extinction)
in the presence of the Allee effect and time-dependent vital rates. We show
that when stages interact, they may survive in the absence of interior fixed
points, a surprising situation that is impossible without inter-stage
interactions. We also examine the shift in the interior Allee equilibrium
caused by the occurrence of interactions between stages and find that the
extinction or Allee threshold does not extend to the new boundaries set by the
shift in equilibrium, i.e. no interior equilibria are on the extinction
threshold.</description><identifier>DOI: 10.48550/arxiv.1702.02889</identifier><language>eng</language><subject>Mathematics - Dynamical Systems</subject><creationdate>2017-02</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1702.02889$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1702.02889$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Lazaryan, N</creatorcontrib><creatorcontrib>Sedaghat, H</creatorcontrib><title>Extinction and the Allee Effect in an Age-structured Ricker Population Model with Inter-stage Interaction</title><description>We study the evolution in discrete time of certain age-structured
populations, such as adults and juveniles, with a Ricker fitness function. We
determine conditions for the convergence of orbits to the origin (extinction)
in the presence of the Allee effect and time-dependent vital rates. We show
that when stages interact, they may survive in the absence of interior fixed
points, a surprising situation that is impossible without inter-stage
interactions. We also examine the shift in the interior Allee equilibrium
caused by the occurrence of interactions between stages and find that the
extinction or Allee threshold does not extend to the new boundaries set by the
shift in equilibrium, i.e. no interior equilibria are on the extinction
threshold.</description><subject>Mathematics - Dynamical Systems</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj01OwzAUhL1hgQoHYIUvkODfOF5GVYBKRUWo--jFeW4tQlK5DpTb06asZjSaGekj5IGzXJVasyeIp_Cdc8NEzkRZ2lsS6lMKg0thHCgMHU17pFXfI9Lae3SJhktOqx1mxxQnl6aIHf0I7hMjfR8PUw_z9m3ssKc_Ie3pakgYz23Y4dXDfH9Hbjz0R7z_1wXZPtfb5Wu23rysltU6g8LYrJWtVrJwnjnJOdjSYyGFAq-Es9YIZQT3TmhtSmu19Rxa5bqCdbI9557JBXm83s6szSGGL4i_zYW5mZnlH-akUm0</recordid><startdate>20170209</startdate><enddate>20170209</enddate><creator>Lazaryan, N</creator><creator>Sedaghat, H</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20170209</creationdate><title>Extinction and the Allee Effect in an Age-structured Ricker Population Model with Inter-stage Interaction</title><author>Lazaryan, N ; Sedaghat, H</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a679-b3b5436cf0c311a98fe6324af42c99724721fc255789959f1ab4cd60d3b1fcf03</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Mathematics - Dynamical Systems</topic><toplevel>online_resources</toplevel><creatorcontrib>Lazaryan, N</creatorcontrib><creatorcontrib>Sedaghat, H</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Lazaryan, N</au><au>Sedaghat, H</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Extinction and the Allee Effect in an Age-structured Ricker Population Model with Inter-stage Interaction</atitle><date>2017-02-09</date><risdate>2017</risdate><abstract>We study the evolution in discrete time of certain age-structured
populations, such as adults and juveniles, with a Ricker fitness function. We
determine conditions for the convergence of orbits to the origin (extinction)
in the presence of the Allee effect and time-dependent vital rates. We show
that when stages interact, they may survive in the absence of interior fixed
points, a surprising situation that is impossible without inter-stage
interactions. We also examine the shift in the interior Allee equilibrium
caused by the occurrence of interactions between stages and find that the
extinction or Allee threshold does not extend to the new boundaries set by the
shift in equilibrium, i.e. no interior equilibria are on the extinction
threshold.</abstract><doi>10.48550/arxiv.1702.02889</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Dynamical Systems |
| title | Extinction and the Allee Effect in an Age-structured Ricker Population Model with Inter-stage Interaction |
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