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- Liancheng Wang, Michael Y Li
- Mathematical biosciences
- 2006

A mathematical model that describes HIV infection of CD4(+) T cells is analyzed. Global dynamics of the model is rigorously established. We prove that, if the basic reproduction number R(0) < or = 1, the HIV infection is cleared from the T-cell population; if R(0) > 1, the HIV infection persists. For an open set of parameter values, the chronic-infection… (More)

Various eeects of disease caused death on the host population is studied in an epidemic model of SIR type. The exponential rate for natural birth and death is assumed to be equal so that the total population is balanced in the absence of the disease. The model has the surprising feature that it requires a simple mathematical analysis while revealing… (More)

- Hal L. Smith, Liancheng Wang, Michael Y. Li
- SIAM Journal of Applied Mathematics
- 2001

We study a population model for an infectious disease that spreads in the host population through both horizontal and vertical transmission. The total host population is assumed to have constant density and the incidence term is of the bilinear mass-action form. We prove that the global dynamics are completely determined by the basic reproduction number R 0… (More)

- Chunrui Zhang, Baodong Zheng, Liancheng Wang
- Appl. Math. Lett.
- 2009

A symmetric BAM neural network model with delay is considered. Some results of Hopf bifurcations occurring at the zero equilibrium as the delay increases are exhibited. The existence of multiple periodic solutions is established using a symmetric Hopf bifurcation result of Wu [J. Wu, Symmetric functional differential equations and neural networks with… (More)

A necessary and sufficient condition for the stability of n = n matrices with real entries is proved. Applications to asymptotic stability of equilibria for vector fields are considered. The results offer an alternative to the well-known Routh᎐Hurwitz conditions.

- Chunrui Zhang, Baodong Zheng, Liancheng Wang
- Applied Mathematics and Computation
- 2011

- Guomin Li, Liancheng Wang, Wanxi Li, Ruimin Ding, Yao Xu
- Physical chemistry chemical physics : PCCP
- 2014

In order to prepare a lightweight and efficient microwave absorbent, porous activated carbon balls (PACB) were used to load Fe(3+) and Co(2+) ions, because the PACB carrier has a high specific surface area of 800 m(2) g(-1) and abundant pores, including micropores and macropores. The loaded Fe(3+) and Co(2+) ions in the PACB composite were transformed into… (More)

- Simon A. Levin, Fred Brauer, +25 authors Hisashi Inaba

Infection transmission dynamics and vaccination program effectiveness as a function of vaccine effects in individuals The influence of different forms of cross-protective immunity on the population dynamics of antigenically diverse pathogens Dynamics of multiple strains of infectious agents coupled by cross-immunity: A comparison of models

- Liancheng Wang, Jiehua Zhu, Xiezhang Li
- Int. J. Comput. Math.
- 2010

- Ningbo Yu, Chang Xu, Huanshuai Li, Kui Wang, Liancheng Wang, Jingtai Liu
- Sensors
- 2016

Disabilities after neural injury, such as stroke, bring tremendous burden to patients, families and society. Besides the conventional constrained-induced training with a paretic arm, bilateral rehabilitation training involves both the ipsilateral and contralateral sides of the neural injury, fitting well with the fact that both arms are needed in common… (More)