营养物、浮游生物、Limnothrissa miodon与vittatus捕食的5D分岔分析

J. Appl. Math. Pub Date : 2022-07-20 DOI:10.1155/2022/1095441

F. K. Mutasa, Brian Jones, I. Tendaupenyu, T. Nhiwatiwa, Mzime R. Ndebele-Murisa

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引用次数: 1

摘要

本文构建并分析了含营养物、浮游植物、浮游动物和vittatus捕食的Limnothrissa miodon的理论性、确定性的5维数学模型。局部稳定性分析结果与数值模拟结果一致，在一定条件下，共存平衡是局部稳定的。如果满足一定条件，共存平衡是全局稳定的。给出了一些参数Hopf分岔的存在性、稳定性和方向。分岔分析表明，该模型在浮游动物生长速率的共存点发生Hopf分岔，周期性加倍导致混沌。

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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Bifurcation Analysis of a 5D Nutrient, Plankton, Limnothrissa miodon Model with Hydrocynus vittatus Predation

In this paper, we construct and analyze a theoretical, deterministic 5 D mathematical model of Limnothrissa miodon with nutrients, phytoplankton, zooplankton, and Hydrocynus vittatus predation. Local stability analysis results agree with the numerical simulations in that the coexistence equilibrium is locally stable provided that certain conditions are satisfied. The coexistence equilibrium is globally stable if certain conditions are met. Existence, stability, and direction of Hopf bifurcations are derived for some parameters. Bifurcation analysis shows that the model undergoes Hopf bifurcation at the coexistence point for the zooplankton growth rate with periodic doubling leading to chaos.

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J. Appl. Math.

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