平流环境下一般捕食-食饵系统正稳态的存在性和唯一性

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-06-10 DOI:10.1016/j.nonrwa.2025.104422

Anqi Qu , Jinfeng Wang , Xuelian Xu

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引用次数: 0

摘要

本文研究了平流环境下一般捕食-食饵系统正稳态的存在唯一性。我们证明，只要捕食者的功能响应是次线性的，只要存在一个正稳态解，它的唯一性是保证的。具体地说，我们证明了保证反应-扩散-平流捕食者-猎物模型正稳态唯一性所需的复杂条件可以简化。

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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The existence and uniqueness of positive steady states of a general predator–prey system in advective environments

This paper is committed to investigating the existence and uniqueness of positive steady states for a general predator–prey system in advective environments, subject to general boundary conditions. We demonstrate that, provided a positive steady-state solution exists, its uniqueness is guaranteed as long as the predator’s functional response is sublinear. Specifically, we show that the complicated conditions necessary for ensuring the uniqueness of positive steady states in a reaction–diffusion–advection predator–prey model can be simplified.

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.