Tongqian Zhang, Junling Wang, Yuqing Li, Zhichao Jiang, Xiaofeng Han
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引用次数: 325
Abstract
In this paper, a delayed virus model with two different transmission methods and treatments is investigated. This model is a time-delayed version of the model in (Zhang et al. in Comput. Math. Methods Med. 2015:758362, 2015). We show that the virus-free equilibrium is locally asymptotically stable if the basic reproduction number is smaller than one, and by regarding the time delay as a bifurcation parameter, the existence of local Hopf bifurcation is investigated. The results show that time delay can change the stability of the endemic equilibrium. Finally, we give some numerical simulations to illustrate the theoretical findings.
本文研究了一种具有两种不同传播方式和处理方法的延迟病毒模型。该模型是(Zhang et al.)在Comput中的模型的延时版本。数学。方法医学杂志。2015:758362,2015)。我们证明了当基本繁殖数小于1时无病毒平衡点是局部渐近稳定的，并以时滞作为分岔参数，研究了局部Hopf分岔的存在性。结果表明，时滞会改变地方性平衡的稳定性。最后，我们给出了一些数值模拟来说明理论结果。
期刊介绍：
The theory of difference equations, the methods used, and their wide applications have advanced beyond their adolescent stage to occupy a central position in applicable analysis. In fact, in the last 15 years, the proliferation of the subject has been witnessed by hundreds of research articles, several monographs, many international conferences, and numerous special sessions.
The theory of differential and difference equations forms two extreme representations of real world problems. For example, a simple population model when represented as a differential equation shows the good behavior of solutions whereas the corresponding discrete analogue shows the chaotic behavior. The actual behavior of the population is somewhere in between.
The aim of Advances in Difference Equations is to report mainly the new developments in the field of difference equations, and their applications in all fields. We will also consider research articles emphasizing the qualitative behavior of solutions of ordinary, partial, delay, fractional, abstract, stochastic, fuzzy, and set-valued differential equations.
Advances in Difference Equations will accept high-quality articles containing original research results and survey articles of exceptional merit.
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