三种具有BD功能响应的出租车驱动的种群内捕食模型的动态行为

IF 2.7 3区数学 Q1 MATHEMATICS, APPLIED

Physica D: Nonlinear Phenomena Pub Date : 2025-04-03 DOI:10.1016/j.physd.2025.134654

Wenhai Shan , Guoqiang Ren

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引用次数: 0

摘要

本文研究了一种基于趋化的三种动物捕食模型。在不受初始数据和χ限制的情况下，给出了任意维经典解的全局有界性。并断言，在大时限内，所考虑的系统将接近纯猎物稳态和半共存稳态。最后，利用谱分析研究了Beddington-deAngelis型产生项对共存稳态周围线性化问题的稳定性和不稳定性的影响，并将分析扩展到非线性系统，弥补了共存稳态的稳定性。此外，我们将我们的理论结果应用于几个具体的Holling II型函数，通过数值模拟讨论了理论条件，并验证了我们的分析预测。

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Dynamic behavior of taxis-driven intraguild predation model of three species with BD functional response

In this paper, we study a chemotaxis-based model for three-species intraguild predation model. We present global boundedness of classical solutions in any dimension without any restrictions on initial data and

χ

. Moreover, it is asserted that the considered system will approach prey-only steady state and semi-coexistence steady state in the large time limit. Finally, using the spectral analysis, we investigate the effect of Beddington-deAngelis type production term on the stability and instability of a linearized problem around the coexistence steady state, and we then extend our analysis to the nonlinear system, which makes up for the stability of coexistence steady state. Additionally, we apply our theoretical results to several concrete Holling type II functions, discuss the theoretical conditions through numerical simulations, and verify the predictions of our analysis.

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来源期刊

Physica D: Nonlinear Phenomena 物理-物理：数学物理

CiteScore

7.30

自引率

7.50%

发文量

213

审稿时长

65 days

期刊介绍： Physica D (Nonlinear Phenomena) publishes research and review articles reporting on experimental and theoretical works, techniques and ideas that advance the understanding of nonlinear phenomena. Topics encompass wave motion in physical, chemical and biological systems; physical or biological phenomena governed by nonlinear field equations, including hydrodynamics and turbulence; pattern formation and cooperative phenomena; instability, bifurcations, chaos, and space-time disorder; integrable/Hamiltonian systems; asymptotic analysis and, more generally, mathematical methods for nonlinear systems.