Results 21 to 30 of about 538,934 (316)
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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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
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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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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 of a Humoral Immunity COVID-19 Model with Logistic Growth and Delays
Mathematics, 2022 The mathematical modeling and analysis of within-host or between-host coronavirus disease 2019 (COVID-19) dynamics are considered robust tools to support scientific research.
Ahmed M. Elaiw +3 more
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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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Environment InternationalSilver nanoparticles (AgNPs), a major anthropogenic stressor, can threaten soil health by disrupting vital microbial processes critical to maintaining key soil functions such as nutrient cycling, organic matter decomposition, and soil structure formation.
Sandhya Mishra, Xiaodong Yang
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Mathematical Biosciences and Engineering, 2004 Explicit Lyapunov functions for SIR and SEIR compartmentalepidemic models with nonlinear incidence of the form $\beta I^p S^q$for the case $p \leq 1$are constructed. Global stability of the models is thereby established.
Andrei Korobeinikov, Philip K. Maini
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