Population Models With Delay in Dynamic Environment
We study the combined effects of periodically varying carrying capacity and survival rates on the fish population in the ocean (sea). We introduce the Getz type delay differential equation model with a control parameter which describes how fish are harvested. We will modify and extend harvesting mod...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | |
| container_volume | |
| creator | Berezansky, L Idels, L |
| description | We study the combined effects of periodically varying carrying capacity and
survival rates on the fish population in the ocean (sea). We introduce the Getz
type delay differential equation model with a control parameter which describes
how fish are harvested. We will modify and extend harvesting model of an
exploited fish population to include periodic and rotational harvesting rates.
We study the existence of global solutions for the initial value problem,
extinction and persistence conditions, and the existence of periodic solutions. |
| doi_str_mv | 10.48550/arxiv.math/0601103 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_math_0601103</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>math_0601103</sourcerecordid><originalsourceid>FETCH-LOGICAL-a713-1394e78855ef08db43e05ff22f2f71eb89d5e11577d20ea9fef3a8e82868d7b73</originalsourceid><addsrcrecordid>eNotzrsKwjAYhuEsDqJegUu8gGoOjUlH8QyKDgXH8tf8wUCbSq1i797j9G3v9xAy5GwcG6XYBOqnf4xLaC4TNmWcM9kl8lhd7wU0vgp0X1ksbvTkmwtdYAEt9YEu2gClP9NlePi6CiWGpk86DoobDv7bI-lqmc430e6w3s5nuwg0lxGXSYzavJ_RMWPzWCJTzgnhhNMcc5NYhZwrra1gCIlDJ8GgEWZqrM617JHRL_t1Z9fal1C32cef_f3yBX9WQVk</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Population Models With Delay in Dynamic Environment</title><source>arXiv.org</source><creator>Berezansky, L ; Idels, L</creator><creatorcontrib>Berezansky, L ; Idels, L</creatorcontrib><description>We study the combined effects of periodically varying carrying capacity and
survival rates on the fish population in the ocean (sea). We introduce the Getz
type delay differential equation model with a control parameter which describes
how fish are harvested. We will modify and extend harvesting model of an
exploited fish population to include periodic and rotational harvesting rates.
We study the existence of global solutions for the initial value problem,
extinction and persistence conditions, and the existence of periodic solutions.</description><identifier>DOI: 10.48550/arxiv.math/0601103</identifier><language>eng</language><subject>Mathematics - Dynamical Systems</subject><creationdate>2006-01</creationdate><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/math/0601103$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.math/0601103$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Berezansky, L</creatorcontrib><creatorcontrib>Idels, L</creatorcontrib><title>Population Models With Delay in Dynamic Environment</title><description>We study the combined effects of periodically varying carrying capacity and
survival rates on the fish population in the ocean (sea). We introduce the Getz
type delay differential equation model with a control parameter which describes
how fish are harvested. We will modify and extend harvesting model of an
exploited fish population to include periodic and rotational harvesting rates.
We study the existence of global solutions for the initial value problem,
extinction and persistence conditions, and the existence of periodic solutions.</description><subject>Mathematics - Dynamical Systems</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2006</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotzrsKwjAYhuEsDqJegUu8gGoOjUlH8QyKDgXH8tf8wUCbSq1i797j9G3v9xAy5GwcG6XYBOqnf4xLaC4TNmWcM9kl8lhd7wU0vgp0X1ksbvTkmwtdYAEt9YEu2gClP9NlePi6CiWGpk86DoobDv7bI-lqmc430e6w3s5nuwg0lxGXSYzavJ_RMWPzWCJTzgnhhNMcc5NYhZwrra1gCIlDJ8GgEWZqrM617JHRL_t1Z9fal1C32cef_f3yBX9WQVk</recordid><startdate>20060105</startdate><enddate>20060105</enddate><creator>Berezansky, L</creator><creator>Idels, L</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20060105</creationdate><title>Population Models With Delay in Dynamic Environment</title><author>Berezansky, L ; Idels, L</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a713-1394e78855ef08db43e05ff22f2f71eb89d5e11577d20ea9fef3a8e82868d7b73</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2006</creationdate><topic>Mathematics - Dynamical Systems</topic><toplevel>online_resources</toplevel><creatorcontrib>Berezansky, L</creatorcontrib><creatorcontrib>Idels, L</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Berezansky, L</au><au>Idels, L</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Population Models With Delay in Dynamic Environment</atitle><date>2006-01-05</date><risdate>2006</risdate><abstract>We study the combined effects of periodically varying carrying capacity and
survival rates on the fish population in the ocean (sea). We introduce the Getz
type delay differential equation model with a control parameter which describes
how fish are harvested. We will modify and extend harvesting model of an
exploited fish population to include periodic and rotational harvesting rates.
We study the existence of global solutions for the initial value problem,
extinction and persistence conditions, and the existence of periodic solutions.</abstract><doi>10.48550/arxiv.math/0601103</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | DOI: 10.48550/arxiv.math/0601103 |
| ispartof | |
| issn | |
| language | eng |
| recordid | cdi_arxiv_primary_math_0601103 |
| source | arXiv.org |
| subjects | Mathematics - Dynamical Systems |
| title | Population Models With Delay in Dynamic Environment |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-01T10%3A50%3A26IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Population%20Models%20With%20Delay%20in%20Dynamic%20Environment&rft.au=Berezansky,%20L&rft.date=2006-01-05&rft_id=info:doi/10.48550/arxiv.math/0601103&rft_dat=%3Carxiv_GOX%3Emath_0601103%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |