Global dynamics of a diffusive viral infection model with general incidence function and distributed delays
Global dynamics of a diffusive viral infection model with general incidence function and distributed delays
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具有一般发生函数和分布式延迟的扩散病毒感染模型的全局动态
DOI：
10.1007/s11587-020-00481-0
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发表时间：
2020-02
影响因子：
1.2
通讯作者：
Li Xiaolin
中科院分区：
文献类型：
--
作者：
Wang Xinchang;Tang Xiaosong;Wang Zhiwei;Li Xiaolin
The distributed delay was firstly proposed by Volterra in the 1930s since it is more realistic than discrete delay and has been introduced in many dynamical systems. In this paper, we establish a diffusive viral infection model with general incidence function and distributed delays subject to the homogeneous Neumann boundary conditions. Firstly, we prove the existence, uniqueness, positivity and boundedness of solutions of the model. Then, by using the linearization method and constructing appropriate Lyapunov functionals, we show that the global dynamics of the model is determined by the reproductive numbers for viral infection, which implies that the global stability of the model precludes the existence of complex dynamical behaviors such as Hopf bifurcation and patter formation. Furthermore, an example is presented and numerical simulations are also carried out to illustrate the main results.
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影响因子：
2.9
作者：
Hattaf, Khalid;Yousfi, Noura
通讯作者：
Yousfi, Noura
具有一般发生函数和适应性免疫反应的扩散和延迟病毒感染模型的全局稳定性
影响因子：
2.6
作者：
Miao H;Teng Z;Abdurahman X;Li Z
通讯作者：
Li Z
具有空间扩散和抗体反应的 HBV 模型的全局动力学
DOI：
10.28919/cmbn/2334
发表时间：
2016-01
期刊：
Commun. Math. Biol. Neurosci.
影响因子：
--
作者：
张世华;徐瑞
通讯作者：
徐瑞
DOI：
10.1073/pnas.93.9.4398
发表时间：
1996-04-30
影响因子：
11.1
作者：
Nowak, MA;Bonhoeffer, S;McDade, H
通讯作者：
McDade, H
影响因子：
3.5
作者：
Korobeinikov, A
通讯作者：
Korobeinikov, A