有/无增长源报警的士模型解的有界性

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-05-30 DOI:10.1016/j.jmaa.2025.129747

Dongze Yan, Changchun Liu

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引用次数: 0

摘要

本文进一步研究了一类具有报警计程车的捕食者-猎物模型解的全局有界性。对于不存在逻辑源项的情况，将证明如果反应函数中的某些参数满足特定条件，则经典解全局存在且在高维上有界。对于两种捕食者都有生长限制的情况，当n=2时，我们找到了logistic退化率与函数响应参数之间的关系，从而保证了经典解的全局存在性和有界性。此外，本文的结果可以包含[14]和[21]的有界性结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Boundedness of solutions to an alarm-taxis model with/without growth sources

This paper is a further step in the study of the global boundedness of solutions for a predator-prey model with alarm-taxis. For cases where there are no logistic source terms, it will be shown that if certain parameters in the reaction functions satisfy specific conditions, then the classical solution exists globally and is bounded in higher dimensions. For the case that both the predators have growth restrictions, when

n = 2

, we find the relationship between the logistic degradation rates and the parameters in the functional response, which ensures the global existence and boundedness of the classical solution. Moreover, the results of this paper can encompass the boundedness results from [14] and [21].

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.