基于离散数学模型的褐飞虱传播动态

IF 2.3 4区 数学 Q2 BIOLOGY
Bo Zheng, Huichao Yang, Saber Elaydi, Jianshe Yu
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引用次数: 0

摘要

沃尔巴克氏体是一种胞内细菌,以诱导细胞质不相容而闻名,已成为控制害虫种群的一种有前途和环境可持续的策略。在褐飞虱(Nilaparvata lugens)中发现的菌株wStri已显示出这种生物防治应用的潜力。在这项研究中,我们建立了一个全面的离散数学模型来分析在恒定和周期性变化的环境条件下,wStri在wStri感染、wlug感染和未感染的Nilaparvata lugens混合种群中的传播动态。在恒定的环境下,该模型确定了在种群中成功建立wStri所需的临界阈值。我们的分析表明,该模型显示出强烈的Allee效应,种群必须超过一定的临界密度- Allee阈值-才能使wStri菌株持续存在和传播。低于这个阈值,wStri菌株很可能被消灭,害虫控制工作失败。当环境发生周期性变化时,模型转化为非自治的周期离散模型,引入了额外的复杂性。在这种情况下,我们推导了足够的条件,以确保有限多个Allee地图的组合继续作为Allee地图发挥作用。进一步证明了在这样的周期环境中存在唯一的周期轨道。这个轨道的特点是不稳定的,并作为一个阈值,决定wStri是会在种群中建立自己还是随着时间的推移而消亡。该模型的发现为wStri在哪些条件下可以有效地用于控制Nilaparvata lugens提供了关键的见解,特别是在不是恒定的而是周期性波动的环境中。这些见解对在害虫管理策略中实际部署基于沃尔巴克氏体的生物防治方法具有重要意义。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
wStri spread dynamics in Nilaparvata lugens via discrete mathematical models.

Wolbachia, an intracellular bacterium, is well-known for inducing cytoplasmic incompatibility, which has become a promising and environmentally sustainable strategy for controlling pest populations. The strain wStri, specifically identified in Nilaparvata lugens (brown planthopper), has shown potential for such biocontrol applications. In this study, we develop a comprehensive discrete mathematical model to analyze the dynamics of wStri spread in a mixed population of wStri-infected, wLug-infected, and uninfected Nilaparvata lugens under both constant and periodically varying environmental conditions. Under a constant environment, the model identifies the critical threshold necessary for the successful establishment of wStri within the population. Our analysis reveals that the model exhibits a strong Allee effect, where a population must exceed a certain critical density-the Allee threshold-for the wStri strain to persist and spread. Below this threshold, the wStri strain is likely to be eliminated, failing in pest control efforts. When the environment varies periodically, the model transforms into a non-autonomous periodic discrete model, introducing additional complexity. In this scenario, we derive sufficient conditions that ensure the composition of finitely many Allee maps continues to function as an Allee map. Furthermore, we prove that a unique periodic orbit exists within such a periodic environment. This orbit is characterized as unstable and acts as a threshold, determining whether wStri will establish itself in the population or die out over time. The findings from this model provide critical insights into the conditions under which wStri can be effectively used to control Nilaparvata lugens, particularly in environments that are not constant but fluctuate periodically. These insights have significant implications for the practical deployment of Wolbachia-based biocontrol methods in pest management strategies.

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来源期刊
CiteScore
3.30
自引率
5.30%
发文量
120
审稿时长
6 months
期刊介绍: The Journal of Mathematical Biology focuses on mathematical biology - work that uses mathematical approaches to gain biological understanding or explain biological phenomena. Areas of biology covered include, but are not restricted to, cell biology, physiology, development, neurobiology, genetics and population genetics, population biology, ecology, behavioural biology, evolution, epidemiology, immunology, molecular biology, biofluids, DNA and protein structure and function. All mathematical approaches including computational and visualization approaches are appropriate.
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