Results 31 to 40 of about 9,312,203 (384)
Dynamic analysis of a cytokine-enhanced viral infection model with infection age
Mathematical Biosciences and Engineering, 2023 Recent studies reveal that pyroptosis is associated with the release of inflammatory cytokines which can attract more target cells to be infected. In this paper, a novel age-structured virus infection model incorporating cytokine-enhanced infection is ...
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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Analysis of General Humoral Immunity HIV Dynamics Model with HAART and Distributed Delays
Mathematics, 2019 This paper deals with the study of an HIV dynamics model with two target cells, macrophages and CD4 + T cells and three categories of infected cells, short-lived, long-lived and latent in order to get better insights into HIV infection within the
A. M. Elaiw, E. Kh. Elnahary
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Mathematical Biosciences and Engineering, 2020 The present work is devoted to the global stability analysis for a class of functional differential equations with distributed delay and non-monotone bistable nonlinearity. First, we characterize some subsets of attraction basins of equilibria.
Toshikazu Kuniya +1 more
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Global Stability Analysis of Healthy Situation for a Coupled Model of Healthy and Cancerous Cells Dynamics in Acute Myeloid Leukemia [PDF]
, 2017 In this paper we aim to study the global stability of a coupled model of healthy and cancerous cells dynamics in healthy situation of Acute Myeloid Leukemia.
Chakir, M., Tadjine, M., Zenati, A.
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The Global Stability of our Galaxy [PDF]
Symposium - International Astronomical Union, 1985 Many mass models of our Galaxy (see e.g. Schmidt 1985 for a review) assume the disc to be nearly axisymmetric. For consistency, therefore, no such model should possess gross non-axisymmetric instabilities. However, most attribute less than half the central attraction at the Sun to bulge and halo material - a situation where bar forming instabilities ...
openaire +4 more sources
Asymptotic stability equals exponential stability, and ISS equals finite energy gain---if you twist your eyes [PDF]
, 1998 In this paper we show that uniformly global asymptotic stability for a family of ordinary differential equations is equivalent to uniformly global exponential stability under a suitable nonlinear change of variables.
Grüne, Lars +2 more
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Global stability of an age-structured epidemic model with general Lyapunov functional
Mathematical Biosciences and Engineering, 2019 In this paper, we focus on the study of the dynamics of a certain age structured epidemic model. Our aim is to investigate the proposed model, which is based on the classical SIR epidemic model, with a general class of nonlinear incidence rate with some ...
Abdennasser Chekroun +3 more
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Stability of HTLV/HIV dual infection model with mitosis and latency
Mathematical Biosciences and Engineering, 2021 In this paper, we formulate and analyze an HTLV/HIV dual infection model taking into consideration the response of Cytotoxic T lymphocytes (CTLs). The model includes eight compartments, uninfected CD4+T cells, latent HIV-infected cells, active HIV ...
A. M. Elaiw, N. H. AlShamrani
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Local stability implies global stability for the 2-dimensional Ricker map [PDF]
, 2012 Consider the difference equation $x_{k+1}=x_k e^{\alpha-x_{n-d}}$ where $\alpha$ is a positive parameter and d is a non-negative integer. The case d = 0 was introduced by W.E. Ricker in 1954. For the delayed version d >= 1 of the equation S. Levin and R.
Alefeld G. +5 more
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