昆虫不育技术抑制蚊虫数量的最佳实施模型与分析

IF 1.3 4区 数学 Q3 BIOLOGY
SUDDHYASHIL SARKAR, Joydeb Bhattacharyya, Samares Pal
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引用次数: 0

摘要

昆虫不育技术(SIT)是一种生物昆虫(或害虫)控制手段,旨在通过释放不育昆虫(或害虫)来减少或消灭野生昆虫(或害虫)种群。本文提出并研究了一个描述野生型蚊子种群动态的阶段和性别结构昆虫学模型。然而,当基本后代数大于一时,灭绝平衡变得不稳定,随后出现稳定的内部平衡。我们对模型进行了扩展,引入了不育雄蚊作为生物控制剂来对抗野生型蚊子物种。我们考虑了可育雌蚊种群中的阿利效应,因为蚊子种群中存在不产卵的雌蚊。虽然 SIT 模型的无野蚊平衡总是局部渐近稳定的,但要么不存在内部平衡,要么存在一对内部平衡,其中一个总是不稳定的,另一个总是局部渐近稳定的。我们观察到,当不育雄蚊供应率增加到某个临界阈值时,SIT 系统中的野生蚊子种群会灭绝,随后出现鞍节点分岔。作为根除政策的替代方案,我们提出了抑制野生蚊子数量的最优控制问题,建议增加对宣传活动的投资以抑制蚊子数量。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
MODELING AND ANALYSIS OF OPTIMAL IMPLEMENTATION OF STERILE INSECT TECHNIQUE TO SUPPRESS MOSQUITO POPULATION
Sterile Insect Technique (SIT) is a biological insect (or pest) control tool aiming to reduce or eliminate wild insect (or pest) populations by releasing sterile insects (or pests). In this paper, we propose and study a stage- and sex-structured entomological model describing the dynamics of wild-type mosquito population and observed that the extinction equilibrium of the model is globally asymptotically stable when the basic offspring number is less than unity. However, when the basic offspring number is greater than unity, the extinction equilibrium becomes unstable, followed by the emergence of the stable interior equilibrium. We extend the model by introducing sterile male mosquitoes as a biological control agent against wild-type mosquito species. We have considered the Allee effect in the fertile female mosquito population due to the presence of non-egg-laying females in the mosquito population. While the wild mosquito-free equilibrium of the SIT model is always locally asymptotically stable, there exists either no interior equilibrium or a pair of interior equilibria, among which one is always unstable, and the other is always locally asymptotically stable. We observed that the wild mosquito population of the SIT system goes to extinction, followed by a saddle-node bifurcation when the supply rate of sterile males increases through some critical threshold value. As an alternative to the eradication policy, we formulated an optimal control problem to suppress the wild mosquito population, which suggests increasing the investment in awareness campaigns to suppress the mosquito population.
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来源期刊
CiteScore
2.80
自引率
12.50%
发文量
31
审稿时长
1 months
期刊介绍: The Journal of Biological Systems is published quarterly. The goal of the Journal is to promote interdisciplinary approaches in Biology and in Medicine, and the study of biological situations with a variety of tools, including mathematical and general systems methods. The Journal solicits original research papers and survey articles in areas that include (but are not limited to): Complex systems studies; isomorphies; nonlinear dynamics; entropy; mathematical tools and systems theories with applications in Biology and Medicine. Interdisciplinary approaches in Biology and Medicine; transfer of methods from one discipline to another; integration of biological levels, from atomic to molecular, macromolecular, cellular, and organic levels; animal biology; plant biology. Environmental studies; relationships between individuals, populations, communities and ecosystems; bioeconomics, management of renewable resources; hierarchy theory; integration of spatial and time scales. Evolutionary biology; co-evolutions; genetics and evolution; branching processes and phyllotaxis. Medical systems; physiology; cardiac modeling; computer models in Medicine; cancer research; epidemiology. Numerical simulations and computations; numerical study and analysis of biological data. Epistemology; history of science. The journal will also publish book reviews.
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