蚊子种群抑制模型的稳定性分析。

IF 1.8 4区数学 Q3 ECOLOGY

Journal of Biological Dynamics Pub Date : 2020-12-01 DOI:10.1080/17513758.2020.1792565

Genghong Lin, Yuanxian Hui

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引用次数: 13

摘要

在这项工作中，我们研究了野生和不育蚊子相互作用的非自治微分方程模型。假设在野外释放的不育蚊子的数量是一个给定的非负连续函数。我们确定了不育蚊子数量的阈值[公式:见文本]，并根据阈值[公式:见文本]为来源[公式:见文本]提供了全局渐近稳定的充分条件。对于不育蚊数量保持一定水平的情况，我们发现原点[公式:见文]全局渐近稳定当且仅当野外释放的不育蚊数量[公式:见文]大于[公式:见文]。

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Stability analysis in a mosquito population suppression model.

In this work, we study a non-autonomous differential equation model for the interaction of wild and sterile mosquitoes. Suppose that the number of sterile mosquitoes released in the field is a given nonnegative continuous function. We determine a threshold [Formula: see text] for the number of sterile mosquitoes and provide a sufficient condition for the origin [Formula: see text] to be globally asymptotically stable based on the threshold [Formula: see text]. For the case when the number of sterile mosquitoes keeps at a constant level, we find that the origin [Formula: see text] is globally asymptotically stable if and only if the constant number [Formula: see text] of sterile mosquitoes released in the field is above [Formula: see text].

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来源期刊

Journal of Biological Dynamics ECOLOGY-MATHEMATICAL & COMPUTATIONAL BIOLOGY

CiteScore

4.90

自引率

3.60%

发文量

审稿时长

33 weeks

期刊介绍： Journal of Biological Dynamics, an open access journal, publishes state of the art papers dealing with the analysis of dynamic models that arise from biological processes. The Journal focuses on dynamic phenomena at scales ranging from the level of individual organisms to that of populations, communities, and ecosystems in the fields of ecology and evolutionary biology, population dynamics, epidemiology, immunology, neuroscience, environmental science, and animal behavior. Papers in other areas are acceptable at the editors’ discretion. In addition to papers that analyze original mathematical models and develop new theories and analytic methods, the Journal welcomes papers that connect mathematical modeling and analysis to experimental and observational data. The Journal also publishes short notes, expository and review articles, book reviews and a section on open problems.