食物链模型中依赖化学计量的恐惧效应

IF 1.9 4区 数学 Q1 MATHEMATICS, APPLIED
Tianxu Wang, Hao Wang
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引用次数: 0

摘要

SIAM 应用数学杂志》第 84 卷第 3 期第 783-807 页,2024 年 6 月。摘要有证据表明,资源质量可以决定消费者动态恐惧效应的成本和收益。然而,目前还缺乏机理模型和分析。本文建立了一个三营养级食物链模型,该模型综合了食物质量和恐惧效应。我们建立了该模型的良好假设性,并检验了平衡的存在性和稳定性。通过大量的数值模拟,我们验证了我们的发现,并直观地探讨了恐惧和食物质量的交互效应。我们的结果表明,捕食者的恐惧效应使系统趋于稳定。此外,我们还证明了恐惧效应会放大食物质量对消费者的影响。当食物质量较好时,恐惧效应会提高消费者的生产效率,而当食物质量较差时,恐惧效应会加剧低营养食物导致的生产效率下降。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Stoichiometry-Dependent Fear Effect in a Food Chain Model
SIAM Journal on Applied Mathematics, Volume 84, Issue 3, Page 783-807, June 2024.
Abstract. Evidence shows that resource quality can determine the costs and benefits of the fear effect on consumer dynamics. However, mechanistic modeling and analysis are lacking. This paper formulates a tritrophic level food chain model that integrates both stoichiometric food quality and fear effect. We establish the well-posedness of the model and examine the existence and stability of equilibria. Through extensive numerical simulations, we validate our findings and visually explore the interactive effects of fear and food quality. Our results reveal that the fear effect from predators stabilizes the system. Furthermore, we demonstrate that the fear effect amplifies the influence of food quality on consumers. When food quality is favorable, the fear effect enhances consumer production efficiency, whereas, in the case of poor food quality, the fear effect exacerbates the decline in production efficiency caused by low-nutrient food.
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来源期刊
CiteScore
3.60
自引率
0.00%
发文量
79
审稿时长
12 months
期刊介绍: SIAM Journal on Applied Mathematics (SIAP) is an interdisciplinary journal containing research articles that treat scientific problems using methods that are of mathematical interest. Appropriate subject areas include the physical, engineering, financial, and life sciences. Examples are problems in fluid mechanics, including reaction-diffusion problems, sedimentation, combustion, and transport theory; solid mechanics; elasticity; electromagnetic theory and optics; materials science; mathematical biology, including population dynamics, biomechanics, and physiology; linear and nonlinear wave propagation, including scattering theory and wave propagation in random media; inverse problems; nonlinear dynamics; and stochastic processes, including queueing theory. Mathematical techniques of interest include asymptotic methods, bifurcation theory, dynamical systems theory, complex network theory, computational methods, and probabilistic and statistical methods.
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