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

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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)。

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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).

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来源期刊

Tamkang Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

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.