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Sum-of-squares of polynomials approach to nonlinear stability of fluid flows: an example of application [PDF]
, 2015 With the goal of providing the first example of application of a recently proposed method, thus demonstrating its ability to give results in principle, global stability of a version of the rotating Couette flow is examined.
Chernyshenko, SI +5 more
core +1 more source
Global stability of a delayed and diffusive virus model with nonlinear infection function
Journal of Biological Dynamics, 2021 This paper studies a delayed viral infection model with diffusion and a general incidence rate. A discrete-time model was derived by applying nonstandard finite difference scheme. The positivity and boundedness of solutions are presented.
Yan Geng, Jinhu Xu
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An SEIR model with infectious latent and a periodic vaccination strategy
Mathematical Modelling and Analysis, 2021 An SEIR epidemic model with a nonconstant vaccination strategy is studied. This SEIR model has two disease transmission rates β1 and β2 which imitate the fact that, for some infectious diseases, a latent person can pass the disease into a susceptible one.
Islam A. Moneim
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Journal of Biological Dynamics, 2021 In this paper, with eclipse stage in consideration, we propose an HIV-1 infection model with a general incidence rate and CTL immune response. We first study the existence and local stability of equilibria, which is characterized by the basic infection ...
Xinsheng Ma, Yuhuai Zhang, Yuming Chen
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Qualitative analysis of generalized multistage epidemic model with immigration
Mathematical Biosciences and Engineering, 2023 A model with multiple disease stages is discussed; its main feature is that it considers a general incidence rate, functions for death and immigration rates in all populations.
Miller Cerón Gómez +2 more
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Stability of Charged Global AdS$_4$ Spacetimes [PDF]
, 2016 We study linear and nonlinear stability of asymptotically AdS$_4$ solutions in Einstein-Maxwell-scalar theory. After summarizing the set of static solutions we first examine thermodynamical stability in the grand canonical ensemble and the phase ...
Arias, Raúl +2 more
core +3 more sources
Threshold dynamics of a viral infection model with defectively infected cells
Mathematical Biosciences and Engineering, 2022 In this paper, we investigate the global dynamics of a viral infection model with defectively infected cells. The explicit expression of the basic reproduction number of virus is obtained by using the next generation matrix approach, where each term has ...
Jianquan Li, Xiaoyu Huo , Yuming Chen
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Global Properties of a Delay-Distributed HIV Dynamics Model Including Impairment of B-Cell Functions
Mathematics, 2019 In this paper, we construct an Human immunodeficiency virus (HIV) dynamics model with impairment of B-cell functions and the general incidence rate. We incorporate three types of infected cells, (i) latently-infected cells, which contain the virus, but ...
Ahmed M. Elaiw +2 more
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Global stability in population models
Mathematical Modelling, 1982 AbstractIf g is a continuous map of an interval, the recursion xn + 1 = g(xn), n = 0, 1… converges globally if and only if the equation has only fixed points of g as roots. This leads to simple geometric conditions for global stability in discrete population models. Related conditions involving the Schwarzian derivative and curvature are discussed.
Thomas D. Rogers, J.R. Pounder
openaire +2 more sources
Axioms, 2021 In this paper, the problem of a Lotka–Volterra competition–diffusion–advection system between two competing biological organisms in a spatially heterogeneous environments is investigated.
Lili Chen, Shilei Lin, Yanfeng Zhao
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