Mathematical Analysis of Intraguild Interactions among Hosts, Parasitoids and Predators

IF 0.7 Q2 MATHEMATICS

Tamkang Journal of Mathematics Pub Date : 2021-01-31 DOI:10.5556/J.TKJM.52.2021.4087

Hongming You, Kaijen Cheng

引用次数: 0

Abstract

In this work, we consider a mathematical model of an omnivorous ecosystem in which intermediate predators are infected by parasites. We first establish the boundeness and positivity of solution with conditions. Then the existence and local stability of all equilibria are clarified in R4. Finally, some global dynamics will be analyzed.

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寄主、拟寄生物和捕食者相互作用的数学分析

在这项工作中，我们考虑了一个杂食性生态系统的数学模型，其中中间捕食者被寄生虫感染。首先用条件建立了解的有界性和正性。然后在R4中阐明了所有平衡点的存在性和局部稳定性。最后，将分析一些全局动态。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.