包含非线性虫卵同类相食的两阶段社会昆虫模型的全局动力学

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-03-19 DOI:10.1016/j.aml.2025.109533

Tao Feng, Xinyu Wu

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引用次数: 0

摘要

本研究通过纳入非线性的虫卵食人率，对Kang等人（2015）的两阶段社会昆虫模型进行了改进。非线性的引入提出了分析的挑战，通过应用复合矩阵方法来严格地建立全局稳定性。分析揭示了复杂的动力学行为，包括两种不同类型的双稳态：一种是在消灭和共存平衡之间，另一种是在低密度和高密度共存平衡之间。这些发现强调了在资源有限的条件下，非线性卵同类相食在塑造种群动态和增强物种持久性方面的生态重要性。

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Global dynamics of a two-stage social insect model incorporating nonlinear egg cannibalism

This study refines the two-stage social insect model of Kang et al. (2015) by incorporating a nonlinear egg cannibalism rate. The introduction of nonlinearity presents analytical challenges, addressed through the application of the compound matrix method to rigorously establish global stability. The analysis reveals complex dynamical behaviors, including two distinct types of bistability: one between extinction and coexistence equilibria, and another between low-density and high-density coexistence equilibria. These findings underscore the ecological importance of nonlinear egg cannibalism in shaping population dynamics and enhancing species persistence under resource-limited conditions.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.