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Shigui Ruan
Researcher at University of Miami
Publications - 277
Citations - 17336
Shigui Ruan is an academic researcher from University of Miami. The author has contributed to research in topics: Population & Hopf bifurcation. The author has an hindex of 67, co-authored 262 publications receiving 14933 citations. Previous affiliations of Shigui Ruan include Dalhousie University & North University of China.
Papers
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On the zeros of transcendental functions with applications to stability of delay differential equations with two delays
Shigui Ruan,Junjie Wei +1 more
TL;DR: In this paper, a decomposition technique was developed to investigate the stability of some exponential polynomials, that is, to find conditions under which all zeros have negative real parts.
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A delay-differential equation model of HIV infection of CD4(+) T-cells.
Rebecca V. Culshaw,Shigui Ruan +1 more
TL;DR: A discrete time delay is introduced to the model to describe the time between infection of a CD4(+) T-cell and the emission of viral particles on a cellular level and criteria are given to ensure that the infected equilibrium is asymptotically stable for all delay.
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Dynamical behavior of an epidemic model with a nonlinear incidence rate
Shigui Ruan,Wendi Wang +1 more
TL;DR: In this article, the global dynamics of an epidemic model with vital dynamics and nonlinear incidence rate of saturated mass action was studied and it was shown that either the number of infective individuals tends to zero as time evolves or there is a region such that the disease will be persistent if the initial position lies in the region and the disease would disappear if the starting position lies outside this region.
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Global analysis of an epidemic model with nonmonotone incidence rate.
Dongmei Xiao,Shigui Ruan +1 more
TL;DR: It is shown that either the number of infective individuals tends to zero as time evolves or the disease persists.
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Global analysis in a predator-prey system with nonmonotonic functional response ∗
Dongmei Xiao,Shigui Ruan +1 more
TL;DR: A predator-prey system with nonmonotonic functional response is considered and global qualitative and bifurcation analyses are combined to determine the global dynamics of the model.