噬菌体-细菌模型在不同类型培养基中的非轻微移动波

IF 1.9 4区 数学 Q1 MATHEMATICS, APPLIED
Zhenkun 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 2 期第 556-580 页,2024 年 4 月。 摘要。噬菌体在自然界无处不在,但宿主-噬菌体生物学的许多基本因素尚未纳入数学模型。本文研究了一种空间噬菌体-细菌模型,以描述噬菌体和细菌在不同类型营养介质中的繁殖。与现有模型不同的是,我们构建了一个更现实的反应扩散模型,其中包含接种体和细菌的生长与运动,因此严格的数学分析具有挑战性。我们研究了行波解,并获得了非微观行波解存在与不存在的完整信息。通过使用 Schauder 定点定理、极限论证和单边拉普拉斯变换,我们得到了行波解存在和不存在的临界条件。考虑到不同的传播介质,我们将行波解的存在性从液体营养模型扩展到了琼脂模型。此外,在没有细菌死亡的情况下,我们得到了描述噬菌体入侵的新行波解。我们试图用行波的存在和不存在来解释共迁移的发生,并根据临界波速的定义筛选出影响噬菌体和细菌共迁移的关键参数。最后,我们通过数值模拟验证了理论结果,并揭示了关键参数对噬菌体和细菌传播的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Nontrivial Traveling Waves of Phage-Bacteria Models in Different Media Types
SIAM Journal on Applied Mathematics, Volume 84, Issue 2, Page 556-580, April 2024.
Abstract. Phages are ubiquitous in nature, but many essential factors of host-phage biology have not yet been integrated into mathematical models. In this paper, we investigate a spatial phage-bacteria model to describe the propagation of phages and bacteria in different types of nutrient media. Unlike existing models, we construct a more realistic reaction-diffusion model that incorporates inoculum and bacterial growth and movement, then rigorous mathematical analysis is challenging. We study traveling wave solutions and obtain complete information about the existence and nonexistence of nontrivial traveling wave solutions. The threshold conditions for the existence and nonexistence of traveling wave solutions are obtained by using Schauder’s fixed point theorem, limiting argument, and one-sided Laplace transform. Considering different propagation media, we extend the existence of traveling wave solutions from liquid nutrition model to agar model. Moreover, in the absence of bacterial mortality, we obtain the existence of a new traveling wave solution describing phage invasion. We attempt to explain the occurrence of co-transport by the existence and nonexistence of traveling waves, and screen out the key parameters affecting the co-transport of phages and bacteria according to the definition of critical wave speed. Finally, we provide numerical simulations to verify the theoretical results and reveal the effects of key parameters on the propagation of phages and bacteria.
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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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