Results 11 to 20 of about 506 (58)
Mathematical Modeling of COVID‐19 with Periodic Transmission: The Case of South Africa
Computational and Mathematical Methods, Volume 2023, Issue 1, 2023., 2023 The data on SARS‐CoV‐2 (COVID‐19) in South Africa show seasonal transmission patterns to date, with the peaks having occurred in winter and summer since the outbreaks began. The transmission dynamics have mainly been driven by variations in environmental factors and virus evolution, and the two are at the center of driving the different waves of the ...
Belthasara Assan +2 more
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Global Attractor for Second‐Order Nonlinear Evolution Differential Inclusions
Complexity, Volume 2021, Issue 1, 2021., 2021 In this paper, we address the model of global attractor formulated in the form of evolution differential inclusions with second order in Banach spaces. Firstly, based on the fixed point theorem, the existence result of mild solutions is deduced. Then, by implementing the measure of noncompactness, the existence of global attractor associated with m ...
Guangwang Su +2 more
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Application and Optimal Control for an HBV Model with Vaccination and Treatment
Discrete Dynamics in Nature and Society, Volume 2018, Issue 1, 2018., 2018 In this study, we formulate a model for hepatitis B virus with control strategies of newborn vaccination and treatment. Mathematical analysis is done theoretically and numerically. The results indicate that the stability of equilibria and persistence of the disease are determined by the basic reproductive number R0.
Jing Zhang, Suxia Zhang, Yong Zhou
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Modeling Cell‐to‐Cell Spread of HIV‐1 with Nonlocal Infections
Complexity, Volume 2018, Issue 1, 2018., 2018 This paper is devoted to develop a nonlocal and time‐delayed reaction‐diffusion model for HIV infection within host cell‐to‐cell viral transmissions. In a bounded spatial domain, we study threshold dynamics in terms of basic reproduction number R0 for the heterogeneous model.
Xiaoting Fan +3 more
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Mathematical Problems in Engineering, Volume 2017, Issue 1, 2017., 2017 While the classic theory of exponential dichotomy deals with differential and difference equations with uniquely determined forward and backward solutions, nowadays, applications in engineering require having corresponding theory for equations whose backward solutions are not guaranteed to exist or to be unique.
Codruţa Stoica, Hiroyuki Mino
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A Mathematical Model of Malaria Transmission with Structured Vector Population and Seasonality
Journal of Applied Mathematics, Volume 2017, Issue 1, 2017., 2017 In this paper, we formulate a mathematical model of nonautonomous ordinary differential equations describing the dynamics of malaria transmission with age structure for the vector population. The biting rate of mosquitoes is considered as a positive periodic function which depends on climatic factors.
Bakary Traoré +3 more
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An Efficient Siphon‐Based Deadlock Prevention Policy for a Class of Generalized Petri Nets
Discrete Dynamics in Nature and Society, Volume 2016, Issue 1, 2016., 2016 We propose a new deadlock prevention policy for an important class of resource allocation systems (RASs) that appear in the modeling of flexible manufacturing systems (FMSs). The model of this class in terms of generalized Petri nets is, namely, S4PR.
YiFan Hou +4 more
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Discrete Dynamics in Nature and Society, Volume 2015, Issue 1, 2015., 2015 This work develops an iterative deadlock prevention method for a special class of Petri nets that can well model a variety of flexible manufacturing systems. A deadlock detection technique, called mixed integer programming (MIP), is used to find a strict minimal siphon (SMS) in a plant model without a complete enumeration of siphons.
Liang Hong +5 more
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Attractors and Finite‐Dimensional Behaviour in the 2D Navier‐Stokes Equations
International Scholarly Research Notices, Volume 2013, Issue 1, 2013., 2013 The purpose of this review is to give a broad outline of the dynamical systems approach to the two‐dimensional Navier‐Stokes equations. This example has led to much of the theory of infinite‐dimensional dynamical systems, which is now well developed.
James C. Robinson +3 more
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Mathematical Analysis of a Malaria Model with Partial Immunity to Reinfection
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 A deterministic model with variable human population for the transmission dynamics of malaria disease, which allows transmission by the recovered humans, is first developed and rigorously analyzed. The model reveals the presence of the phenomenon of backward bifurcation, where a stable disease‐free equilibrium coexists with one or more stable endemic ...
Li-Ming Cai +5 more
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