Positive periodic solutions for neutral delay ratio-dependent predator–prey model with Holling type III functional response
By using a continuation theorem based on coincidence degree theory, some new and interesting sufficient conditions are obtained for the existence of positive periodic solutions for neutral delay ratio-dependent predator–prey model with Holling type III functional response x ′ ( t ) = x ( t ) [ r ( t...
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| Veröffentlicht in: | Applied mathematics and computation 2011-12, Vol.218 (8), p.4341-4348 |
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| container_title | Applied mathematics and computation |
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| creator | Liu, Guirong Yan, Jurang |
| description | By using a continuation theorem based on coincidence degree theory, some new and interesting sufficient conditions are obtained for the existence of positive periodic solutions for neutral delay ratio-dependent predator–prey model with Holling type III functional response
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An example is represented to illustrate the feasibility of our main results. |
| doi_str_mv | 10.1016/j.amc.2011.10.009 |
| format | Article |
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An example is represented to illustrate the feasibility of our main results.</description><identifier>ISSN: 0096-3003</identifier><identifier>EISSN: 1873-5649</identifier><identifier>DOI: 10.1016/j.amc.2011.10.009</identifier><identifier>CODEN: AMHCBQ</identifier><language>eng</language><publisher>Amsterdam: Elsevier Inc</publisher><subject>Coincidence degree ; Computation ; Delay ; Exact sciences and technology ; Existence theorems ; Feasibility ; Mathematical analysis ; Mathematical models ; Mathematics ; Neutral ; Numerical analysis ; Numerical analysis. Scientific computation ; Operator theory ; Periodic solution ; Predator–prey model ; Ratio-dependent ; Sciences and techniques of general use ; Theorems</subject><ispartof>Applied mathematics and computation, 2011-12, Vol.218 (8), p.4341-4348</ispartof><rights>2011 Elsevier Inc.</rights><rights>2015 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c360t-fad0d0bebb2023482ec9eaaab473992784c9f5a9f2f771b9ed6c2327ad5381813</citedby><cites>FETCH-LOGICAL-c360t-fad0d0bebb2023482ec9eaaab473992784c9f5a9f2f771b9ed6c2327ad5381813</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.amc.2011.10.009$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>315,782,786,3552,27931,27932,46002</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=25313135$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Liu, Guirong</creatorcontrib><creatorcontrib>Yan, Jurang</creatorcontrib><title>Positive periodic solutions for neutral delay ratio-dependent predator–prey model with Holling type III functional response</title><title>Applied mathematics and computation</title><description>By using a continuation theorem based on coincidence degree theory, some new and interesting sufficient conditions are obtained for the existence of positive periodic solutions for neutral delay ratio-dependent predator–prey model with Holling type III functional response
x
′
(
t
)
=
x
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[
r
(
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]
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An example is represented to illustrate the feasibility of our main results.</description><subject>Coincidence degree</subject><subject>Computation</subject><subject>Delay</subject><subject>Exact sciences and technology</subject><subject>Existence theorems</subject><subject>Feasibility</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Mathematics</subject><subject>Neutral</subject><subject>Numerical analysis</subject><subject>Numerical analysis. Scientific computation</subject><subject>Operator theory</subject><subject>Periodic solution</subject><subject>Predator–prey model</subject><subject>Ratio-dependent</subject><subject>Sciences and techniques of general use</subject><subject>Theorems</subject><issn>0096-3003</issn><issn>1873-5649</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNp9kM2KVDEQhYM4YDv6AO6yEdzcNj_3L7iSwXEaBnQxs77UTSqaJp1ck9yRXgz4Dr6hT2KaHlxKLVKpfOcUOYS84WzLGe_f77dw0FvBOK_3LWPqGdnwcZBN17fqOdnUSd9IxuQL8jLnPWNs6Hm7IY9fY3bFPSBdMLlonKY5-rW4GDK1MdGAa0ngqUEPR5qgvjQGFwwGQ6FLQgMlpj-_ftf2SA-xcvSnK9_pTfTehW-0HBeku92O2jXok281S5iXugBfkQsLPuPrp_OS3F9_uru6aW6_fN5dfbxttOxZaSwYZtiM8yyYkO0oUCsEgLkdpFJiGFutbAfKCjsMfFZoei2kGMB0cuQjl5fk3dl3SfHHirlMB5c1eg8B45qnGiEbB6VaVVF-RnWKOSe005LcAdKxQieun_ZTjXo6RX0a1WCr5u2TPWQN3iYI2uV_QtFJXqur3Iczh_WvDw7TlLXDoNG4hLpMJrr_bPkLWj-XhA</recordid><startdate>20111215</startdate><enddate>20111215</enddate><creator>Liu, Guirong</creator><creator>Yan, Jurang</creator><general>Elsevier Inc</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20111215</creationdate><title>Positive periodic solutions for neutral delay ratio-dependent predator–prey model with Holling type III functional response</title><author>Liu, Guirong ; Yan, Jurang</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c360t-fad0d0bebb2023482ec9eaaab473992784c9f5a9f2f771b9ed6c2327ad5381813</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Coincidence degree</topic><topic>Computation</topic><topic>Delay</topic><topic>Exact sciences and technology</topic><topic>Existence theorems</topic><topic>Feasibility</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Mathematics</topic><topic>Neutral</topic><topic>Numerical analysis</topic><topic>Numerical analysis. Scientific computation</topic><topic>Operator theory</topic><topic>Periodic solution</topic><topic>Predator–prey model</topic><topic>Ratio-dependent</topic><topic>Sciences and techniques of general use</topic><topic>Theorems</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Liu, Guirong</creatorcontrib><creatorcontrib>Yan, Jurang</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Applied mathematics and computation</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Liu, Guirong</au><au>Yan, Jurang</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Positive periodic solutions for neutral delay ratio-dependent predator–prey model with Holling type III functional response</atitle><jtitle>Applied mathematics and computation</jtitle><date>2011-12-15</date><risdate>2011</risdate><volume>218</volume><issue>8</issue><spage>4341</spage><epage>4348</epage><pages>4341-4348</pages><issn>0096-3003</issn><eissn>1873-5649</eissn><coden>AMHCBQ</coden><abstract>By using a continuation theorem based on coincidence degree theory, some new and interesting sufficient conditions are obtained for the existence of positive periodic solutions for neutral delay ratio-dependent predator–prey model with Holling type III functional response
x
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An example is represented to illustrate the feasibility of our main results.</abstract><cop>Amsterdam</cop><pub>Elsevier Inc</pub><doi>10.1016/j.amc.2011.10.009</doi><tpages>8</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0096-3003 |
| ispartof | Applied mathematics and computation, 2011-12, Vol.218 (8), p.4341-4348 |
| issn | 0096-3003 1873-5649 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_1010879949 |
| source | Access via ScienceDirect (Elsevier) |
| subjects | Coincidence degree Computation Delay Exact sciences and technology Existence theorems Feasibility Mathematical analysis Mathematical models Mathematics Neutral Numerical analysis Numerical analysis. Scientific computation Operator theory Periodic solution Predator–prey model Ratio-dependent Sciences and techniques of general use Theorems |
| title | Positive periodic solutions for neutral delay ratio-dependent predator–prey model with Holling type III functional response |
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