寄生虫介导的两种寄主对单一有限资源的竞争

IF 0.7 Q2 MATHEMATICS Tamkang Journal of Mathematics Pub Date : 2021-01-31 DOI:10.5556/J.TKJM.52.2021.4016
S. Hsu, I. Sun
{"title":"寄生虫介导的两种寄主对单一有限资源的竞争","authors":"S. Hsu, I. Sun","doi":"10.5556/J.TKJM.52.2021.4016","DOIUrl":null,"url":null,"abstract":"In this paper we consider a mathematical model of two host species competing for a single -limited resource mediated by parasites. Each host population is divided into susceptible and infective population. We assume that species 1 has the lowest break-even concentration with respect to nutrient, when there is no parasite. Thus species 1 is a superior competitor that outcompetes species 2. When parasites present, the competitive outcome is determined by the contact rate of the superior competitor. We analyze the model by finding the conditions for the existence of various equilibria and doing their stability analysis. Two bifurcation diagrams are presented. The first one is in $\\beta_1$-$\\beta_2$ plane (See Figure 3) and the second one is in $R^{(0)}$-line (See Figure 4).","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":"4 1","pages":"1-18"},"PeriodicalIF":0.7000,"publicationDate":"2021-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Competition of Two Host Species for a Single-Limited Resource Mediated by Parasites\",\"authors\":\"S. Hsu, I. Sun\",\"doi\":\"10.5556/J.TKJM.52.2021.4016\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we consider a mathematical model of two host species competing for a single -limited resource mediated by parasites. Each host population is divided into susceptible and infective population. We assume that species 1 has the lowest break-even concentration with respect to nutrient, when there is no parasite. Thus species 1 is a superior competitor that outcompetes species 2. When parasites present, the competitive outcome is determined by the contact rate of the superior competitor. We analyze the model by finding the conditions for the existence of various equilibria and doing their stability analysis. Two bifurcation diagrams are presented. The first one is in $\\\\beta_1$-$\\\\beta_2$ plane (See Figure 3) and the second one is in $R^{(0)}$-line (See Figure 4).\",\"PeriodicalId\":45776,\"journal\":{\"name\":\"Tamkang Journal of Mathematics\",\"volume\":\"4 1\",\"pages\":\"1-18\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2021-01-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Tamkang Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5556/J.TKJM.52.2021.4016\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Tamkang Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5556/J.TKJM.52.2021.4016","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0

摘要

在本文中,我们考虑了一个由寄生虫介导的两个寄主物种竞争单一有限资源的数学模型。每个宿主种群分为易感种群和感染种群。我们假设在没有寄生虫的情况下,物种1的养分盈亏平衡浓度最低。因此,物种1是一个优于物种2的竞争对手。当寄生虫存在时,竞争结果由优势竞争者的接触率决定。我们通过寻找各种均衡存在的条件并对它们进行稳定性分析来分析模型。给出了两个分岔图。第一个在$\beta_1$-$\beta_2$平面(见图3),第二个在$R^{(0)}$-行(见图4)。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
Competition of Two Host Species for a Single-Limited Resource Mediated by Parasites
In this paper we consider a mathematical model of two host species competing for a single -limited resource mediated by parasites. Each host population is divided into susceptible and infective population. We assume that species 1 has the lowest break-even concentration with respect to nutrient, when there is no parasite. Thus species 1 is a superior competitor that outcompetes species 2. When parasites present, the competitive outcome is determined by the contact rate of the superior competitor. We analyze the model by finding the conditions for the existence of various equilibria and doing their stability analysis. Two bifurcation diagrams are presented. The first one is in $\beta_1$-$\beta_2$ plane (See Figure 3) and the second one is in $R^{(0)}$-line (See Figure 4).
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
CiteScore
1.50
自引率
0.00%
发文量
11
期刊介绍: To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal. The four issues are out for distribution at the end of March, June, September and December. The articles published in Tamkang Journal of Mathematics cover diverse mathematical disciplines. Submission of papers comes from all over the world. All articles are subjected to peer review from an international pool of referees.
期刊最新文献
Various new traveling wave solutions for conformable time-fractional Sasa-Satsuma equation Common solutions of fixed point and generalized equilibrium problems using asymptotically nonexpansive mapping Mathematical modeling and optimal control of a deterministic SHATR model of HIV/AIDS with possibility of rehabilitation: a dynamic analysis Some fixed point results for nonlinear $F$-type contractions in strong partial b-metric spaces $n$-harmonicity, minimality, conformality and cohomology
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1