A study on time-limited control of single-pest with stage-structure
Two kinds of time-limited pest control models of single-pest with stage-structure, which can be described by the boundary value problem of ordinary differential equation and impulsive differential equation, are presented according to the ways of artificial control (continuous control and impulsive c...
Gespeichert in:
| Veröffentlicht in: | Applied mathematics and computation 2010-09, Vol.217 (2), p.677-684 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 684 |
|---|---|
| container_issue | 2 |
| container_start_page | 677 |
| container_title | Applied mathematics and computation |
| container_volume | 217 |
| creator | Guo, Hongjian Chen, Lansun |
| description | Two kinds of time-limited pest control models of single-pest with stage-structure, which can be described by the boundary value problem of ordinary differential equation and impulsive differential equation, are presented according to the ways of artificial control (continuous control and impulsive control). The conditions under which the corresponding model has a solution are given. If the model has a solution, the corresponding aim of pest control can be achieved. The theoretical results show that both the mature and the immature pest should be controlled synchronously, otherwise the aims of pest control can not be achieved in a finite time. Finally, some discussions and numerical simulations show that the impulsive control is more practical than the continuous control. |
| doi_str_mv | 10.1016/j.amc.2010.06.004 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_849476990</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0096300310006788</els_id><sourcerecordid>849476990</sourcerecordid><originalsourceid>FETCH-LOGICAL-c359t-ffefe594e693e1457910ec2cdeab0b6dfb5aa98c917f2725623911a5744038ed3</originalsourceid><addsrcrecordid>eNp9kM1LAzEQxYMoWKt_gLe9iKddJ5tsdoOnUvyCghc9hzQ7qSn7UZOs4n9vSotHT8PAe2_e_Ai5plBQoOJuW-jeFCWkHUQBwE_IjDY1yyvB5SmZAUiRMwB2Ti5C2AJALSifkeUiC3Fqf7JxyKLrMe9c7yK2mRmH6McuG20W3LDpMN9hiNm3ix_JoTeYh-gnEyePl-TM6i7g1XHOyfvjw9vyOV-9Pr0sF6vcsErG3Fq0WEmOQjKkvKolBTSlaVGvYS1au660lo2RtLZlXVaiZJJSXdWcA2uwZXNye8jd-fFzSm1U74LBrtMDjlNQDZe8FlJCUtKD0vgxBI9W7bzrtf9RFNSel9qqxEvteSkQKvFKnptjug5Gd9brwbjwZyxZXbHUPOnuDzpMr3459CoYh4PB1nk0UbWj--fKL4yOf8Y</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>849476990</pqid></control><display><type>article</type><title>A study on time-limited control of single-pest with stage-structure</title><source>Elsevier ScienceDirect Journals</source><creator>Guo, Hongjian ; Chen, Lansun</creator><creatorcontrib>Guo, Hongjian ; Chen, Lansun</creatorcontrib><description>Two kinds of time-limited pest control models of single-pest with stage-structure, which can be described by the boundary value problem of ordinary differential equation and impulsive differential equation, are presented according to the ways of artificial control (continuous control and impulsive control). The conditions under which the corresponding model has a solution are given. If the model has a solution, the corresponding aim of pest control can be achieved. The theoretical results show that both the mature and the immature pest should be controlled synchronously, otherwise the aims of pest control can not be achieved in a finite time. Finally, some discussions and numerical simulations show that the impulsive control is more practical than the continuous control.</description><identifier>ISSN: 0096-3003</identifier><identifier>EISSN: 1873-5649</identifier><identifier>DOI: 10.1016/j.amc.2010.06.004</identifier><identifier>CODEN: AMHCBQ</identifier><language>eng</language><publisher>Amsterdam: Elsevier Inc</publisher><subject>Boundary value problem ; Boundary value problems ; Computation ; Computer simulation ; Differential equations ; Exact sciences and technology ; Impulsive control ; Impulsive differential equation ; Mathematical analysis ; Mathematical models ; Mathematics ; Numerical analysis ; Numerical analysis. Scientific computation ; Ordinary differential equations ; Partial differential equations, boundary value problems ; Pests ; Sciences and techniques of general use ; Single species ; Stage-structure</subject><ispartof>Applied mathematics and computation, 2010-09, Vol.217 (2), p.677-684</ispartof><rights>2010 Elsevier Inc.</rights><rights>2015 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c359t-ffefe594e693e1457910ec2cdeab0b6dfb5aa98c917f2725623911a5744038ed3</citedby><cites>FETCH-LOGICAL-c359t-ffefe594e693e1457910ec2cdeab0b6dfb5aa98c917f2725623911a5744038ed3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0096300310006788$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27901,27902,65306</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=23753693$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Guo, Hongjian</creatorcontrib><creatorcontrib>Chen, Lansun</creatorcontrib><title>A study on time-limited control of single-pest with stage-structure</title><title>Applied mathematics and computation</title><description>Two kinds of time-limited pest control models of single-pest with stage-structure, which can be described by the boundary value problem of ordinary differential equation and impulsive differential equation, are presented according to the ways of artificial control (continuous control and impulsive control). The conditions under which the corresponding model has a solution are given. If the model has a solution, the corresponding aim of pest control can be achieved. The theoretical results show that both the mature and the immature pest should be controlled synchronously, otherwise the aims of pest control can not be achieved in a finite time. Finally, some discussions and numerical simulations show that the impulsive control is more practical than the continuous control.</description><subject>Boundary value problem</subject><subject>Boundary value problems</subject><subject>Computation</subject><subject>Computer simulation</subject><subject>Differential equations</subject><subject>Exact sciences and technology</subject><subject>Impulsive control</subject><subject>Impulsive differential equation</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Mathematics</subject><subject>Numerical analysis</subject><subject>Numerical analysis. Scientific computation</subject><subject>Ordinary differential equations</subject><subject>Partial differential equations, boundary value problems</subject><subject>Pests</subject><subject>Sciences and techniques of general use</subject><subject>Single species</subject><subject>Stage-structure</subject><issn>0096-3003</issn><issn>1873-5649</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><recordid>eNp9kM1LAzEQxYMoWKt_gLe9iKddJ5tsdoOnUvyCghc9hzQ7qSn7UZOs4n9vSotHT8PAe2_e_Ai5plBQoOJuW-jeFCWkHUQBwE_IjDY1yyvB5SmZAUiRMwB2Ti5C2AJALSifkeUiC3Fqf7JxyKLrMe9c7yK2mRmH6McuG20W3LDpMN9hiNm3ix_JoTeYh-gnEyePl-TM6i7g1XHOyfvjw9vyOV-9Pr0sF6vcsErG3Fq0WEmOQjKkvKolBTSlaVGvYS1au660lo2RtLZlXVaiZJJSXdWcA2uwZXNye8jd-fFzSm1U74LBrtMDjlNQDZe8FlJCUtKD0vgxBI9W7bzrtf9RFNSel9qqxEvteSkQKvFKnptjug5Gd9brwbjwZyxZXbHUPOnuDzpMr3459CoYh4PB1nk0UbWj--fKL4yOf8Y</recordid><startdate>20100915</startdate><enddate>20100915</enddate><creator>Guo, Hongjian</creator><creator>Chen, Lansun</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>20100915</creationdate><title>A study on time-limited control of single-pest with stage-structure</title><author>Guo, Hongjian ; Chen, Lansun</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c359t-ffefe594e693e1457910ec2cdeab0b6dfb5aa98c917f2725623911a5744038ed3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2010</creationdate><topic>Boundary value problem</topic><topic>Boundary value problems</topic><topic>Computation</topic><topic>Computer simulation</topic><topic>Differential equations</topic><topic>Exact sciences and technology</topic><topic>Impulsive control</topic><topic>Impulsive differential equation</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Mathematics</topic><topic>Numerical analysis</topic><topic>Numerical analysis. Scientific computation</topic><topic>Ordinary differential equations</topic><topic>Partial differential equations, boundary value problems</topic><topic>Pests</topic><topic>Sciences and techniques of general use</topic><topic>Single species</topic><topic>Stage-structure</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Guo, Hongjian</creatorcontrib><creatorcontrib>Chen, Lansun</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>Guo, Hongjian</au><au>Chen, Lansun</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A study on time-limited control of single-pest with stage-structure</atitle><jtitle>Applied mathematics and computation</jtitle><date>2010-09-15</date><risdate>2010</risdate><volume>217</volume><issue>2</issue><spage>677</spage><epage>684</epage><pages>677-684</pages><issn>0096-3003</issn><eissn>1873-5649</eissn><coden>AMHCBQ</coden><abstract>Two kinds of time-limited pest control models of single-pest with stage-structure, which can be described by the boundary value problem of ordinary differential equation and impulsive differential equation, are presented according to the ways of artificial control (continuous control and impulsive control). The conditions under which the corresponding model has a solution are given. If the model has a solution, the corresponding aim of pest control can be achieved. The theoretical results show that both the mature and the immature pest should be controlled synchronously, otherwise the aims of pest control can not be achieved in a finite time. Finally, some discussions and numerical simulations show that the impulsive control is more practical than the continuous control.</abstract><cop>Amsterdam</cop><pub>Elsevier Inc</pub><doi>10.1016/j.amc.2010.06.004</doi><tpages>8</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0096-3003 |
| ispartof | Applied mathematics and computation, 2010-09, Vol.217 (2), p.677-684 |
| issn | 0096-3003 1873-5649 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_849476990 |
| source | Elsevier ScienceDirect Journals |
| subjects | Boundary value problem Boundary value problems Computation Computer simulation Differential equations Exact sciences and technology Impulsive control Impulsive differential equation Mathematical analysis Mathematical models Mathematics Numerical analysis Numerical analysis. Scientific computation Ordinary differential equations Partial differential equations, boundary value problems Pests Sciences and techniques of general use Single species Stage-structure |
| title | A study on time-limited control of single-pest with stage-structure |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-05T08%3A14%3A33IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=A%20study%20on%20time-limited%20control%20of%20single-pest%20with%20stage-structure&rft.jtitle=Applied%20mathematics%20and%20computation&rft.au=Guo,%20Hongjian&rft.date=2010-09-15&rft.volume=217&rft.issue=2&rft.spage=677&rft.epage=684&rft.pages=677-684&rft.issn=0096-3003&rft.eissn=1873-5649&rft.coden=AMHCBQ&rft_id=info:doi/10.1016/j.amc.2010.06.004&rft_dat=%3Cproquest_cross%3E849476990%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=849476990&rft_id=info:pmid/&rft_els_id=S0096300310006788&rfr_iscdi=true |