Global Existence and Asymptotic Behavior in a Predator-Prey-Mutualist Model with Prey-Taxis

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2022-06-01 DOI:10.4208/eajam.220421.280921

Qian Zhao null, Bin Liu

引用次数: 0

Abstract

. This paper considers the global existence and boundedness of classical solutions to a predator-prey-mutualist model with prey-taxis. In addition, by constructing the Lyapunov functionals, we proved when α < ( ac / b ) · r + a / b , the positive equilibrium point is globally asymptotic stable; and when α ∈ (( ac / b ) · r + a / b , M 1 ) , the semi-trivial equilibrium point is globally asymptotic stable. Finally, we give some numerical exam-ples to validate our results.

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

具有捕食-滑行的捕食者-被捕食互斥模型的全局存在性和渐近性

本文研究了一类具有捕食出租车的捕食者-猎物互惠模型经典解的全局存在性和有界性。此外，通过构造李雅普诺夫泛函，我们证明了当α<（ac/b）·r+a/b时，正平衡点是全局渐近稳定的；当α∈（（ac/b）·r+a/b，M1）时，半平凡平衡点是全局渐近稳定的。最后，我们给出了一些数值例子来验证我们的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文去求助

来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

期刊最新文献

Management of Cholesteatoma: Hearing Rehabilitation. Congenital Cholesteatoma. Evaluation of Cholesteatoma. Management of Cholesteatoma: Extension Beyond Middle Ear/Mastoid. Recidivism and Recurrence.