带载波和非线性发生率模型的全局稳定性分析。

IF 1.8 4区数学 Q3 ECOLOGY Journal of Biological Dynamics Pub Date : 2020-12-01 DOI:10.1080/17513758.2020.1772998

Miller Cerón Gómez, Eduardo Ibarguen Mondragon, Patricia Lopez Molano

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引用次数: 5

摘要

我们分析了一个流行病学模型，该模型具有不同的易感人群、携带者、感染人群和康复人群(SCIR)，以及这种形式的一般非线性发病率[公式:见文本]。我们证明了该模型具有两个正均衡:无病均衡和疾病均衡。我们用Lyapunov直接方法证明了这两个平衡点在函数f, g, h上的一些充分条件下是全局渐近稳定的。

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Global stability analysis for a model with carriers and non-linear incidence rate.

We analysed a epidemiological model with varying populations of susceptible, carriers, infectious and recovered (SCIR) and a general non-linear incidence rate of the form [Formula: see text]. We show that this model exhibits two positive equilibriums: the disease-free and disease equilibrium. We proved using the Lyapunov direct method that these two equilibriums are globally asymptotically stable under some sufficient conditions over the functions f, g, h.

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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.