Effects of cannibalism on a basic stage structure
In this paper, we discuss the effects of cannibalism on a basic stage-structured population model for a single species. A threshold condition for extinction versus persistence is obtained, and numerical simulations of the population dynamics are presented. These simulations suggest that cannibalism...
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Veröffentlicht in: | Applied mathematics and computation 2010-11, Vol.217 (5), p.2133-2141 |
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creator | Saito, Yasuhisa Jung, Changdo Lim, Yongdo |
description | In this paper, we discuss the effects of cannibalism on a basic stage-structured population model for a single species. A threshold condition for extinction versus persistence is obtained, and numerical simulations of the population dynamics are presented. These simulations suggest that cannibalism has a stabilizing effect on the population, promoting equilibrium of the adult population level. |
doi_str_mv | 10.1016/j.amc.2010.07.012 |
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A threshold condition for extinction versus persistence is obtained, and numerical simulations of the population dynamics are presented. These simulations suggest that cannibalism has a stabilizing effect on the population, promoting equilibrium of the adult population level.</description><identifier>ISSN: 0096-3003</identifier><identifier>EISSN: 1873-5649</identifier><identifier>DOI: 10.1016/j.amc.2010.07.012</identifier><identifier>CODEN: AMHCBQ</identifier><language>eng</language><publisher>Amsterdam: Elsevier Inc</publisher><subject>Adults ; Basic stage structure ; Cannibalism ; Computation ; Computer simulation ; Dynamics ; Exact sciences and technology ; Extinction ; Liapunov–LaSalle theorem ; Mathematical analysis ; Mathematical models ; Mathematics ; Numerical analysis ; Numerical analysis. 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A threshold condition for extinction versus persistence is obtained, and numerical simulations of the population dynamics are presented. These simulations suggest that cannibalism has a stabilizing effect on the population, promoting equilibrium of the adult population level.</description><subject>Adults</subject><subject>Basic stage structure</subject><subject>Cannibalism</subject><subject>Computation</subject><subject>Computer simulation</subject><subject>Dynamics</subject><subject>Exact sciences and technology</subject><subject>Extinction</subject><subject>Liapunov–LaSalle theorem</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Mathematics</subject><subject>Numerical analysis</subject><subject>Numerical analysis. Scientific computation</subject><subject>Permanence</subject><subject>Sciences and techniques of general use</subject><subject>Stabilization</subject><subject>Thresholds</subject><subject>Uniform persistence</subject><issn>0096-3003</issn><issn>1873-5649</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><recordid>eNp9kEtLAzEQx4MoWKsfwNtexNPWyWMfwZMUX1Dwoucwm8xKyj5qsiv47U1p8ehlhoHff4b5MXbNYcWBl3fbFfZ2JSDNUK2AixO24HUl86JU-pQtAHSZSwB5zi5i3AJAVXK1YPyxbclOMRvbzOIw-AY7H_tsHDLMGozeZnHCT0o1zHaaA12ysxa7SFfHvmQfT4_v65d88_b8un7Y5FYWeso1r11R6rrRjgrZOuVU4ywHKRQXunGNU4BO8kop5OCkIMKaKkdaCnRKyCW7PezdhfFrpjiZ3kdLXYcDjXM0tdKqAlGqRPIDacMYY6DW7ILvMfwYDmZvx2xNsmP2dgxUJtlJmZvjdowWuzbgYH38CwpZy6KSPHH3B47Sq9-egonW02DJ-ZC8GTf6f678Aq3ReKc</recordid><startdate>20101101</startdate><enddate>20101101</enddate><creator>Saito, Yasuhisa</creator><creator>Jung, Changdo</creator><creator>Lim, Yongdo</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>20101101</creationdate><title>Effects of cannibalism on a basic stage structure</title><author>Saito, Yasuhisa ; Jung, Changdo ; Lim, Yongdo</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c359t-918d5698b9de53fd4d4bdc10324129bdbd40ad31744a10d32eea8e7de932ad423</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2010</creationdate><topic>Adults</topic><topic>Basic stage structure</topic><topic>Cannibalism</topic><topic>Computation</topic><topic>Computer simulation</topic><topic>Dynamics</topic><topic>Exact sciences and technology</topic><topic>Extinction</topic><topic>Liapunov–LaSalle theorem</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Mathematics</topic><topic>Numerical analysis</topic><topic>Numerical analysis. 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subjects | Adults Basic stage structure Cannibalism Computation Computer simulation Dynamics Exact sciences and technology Extinction Liapunov–LaSalle theorem Mathematical analysis Mathematical models Mathematics Numerical analysis Numerical analysis. Scientific computation Permanence Sciences and techniques of general use Stabilization Thresholds Uniform persistence |
title | Effects of cannibalism on a basic stage structure |
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