Generalized Newton's Method based on Graphical Derivatives [PDF]
This paper concerns developing a numerical method of the Newton type to solve systems of nonlinear equations described by nonsmooth continuous functions. We propose and justify a new generalized Newton algorithm based on graphical derivatives, which have
Hoheisel, T. +3 more
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Highly active antiretroviral therapy (HAART) stands out as the most effective treatment for human immunodeficiency virus type-1 (HIV-1). While total eradication is still difficult, HAART can dramatically lower the virus's plasma viral level below the ...
Noura H. AlShamrani +2 more
doaj +1 more source
Stability analysis of a diffusive HTLV-2 and HIV-1 co-infection model
Co-infections between human immunodeficiency virus type 1 (HIV-1) and human T-lymphotropic virus type 2 (HTLV-2) are more common, particularly among injection drug users and individuals engaging in sexual activity.
A.M. Elaiw +2 more
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Well-Posedness and Conditioning of Optimization Problems [PDF]
AMS subject classification: 49K40, 90C31.For a given abstract optimization problem in a Banach space subject to data perturbations, conditions linking well-posedness to well-conditioning are obtained.
Zolezzi, T.
core
Optimal control efforts to reduce the transmission of HPV in a fractional-order mathematical model
Human papillomavirus (HPV) is a sexually transmitted virus that causes cervical cancer in women and leads to death. In this research paper, we prepare a fractional mathematical model that contains a system of four fractional differential equations (FDEs)
A. El-Mesady +2 more
doaj +1 more source
Global Dynamics of a Multi-Population Water Pollutant Model with Distributed Delays
This paper presents a comprehensive mathematical analysis of a novel compartmental model describing the dynamics of dispersed water pollutants and their interaction with two distinct host populations.
Nada A. Almuallem, Miled El Hajji
doaj +1 more source
Global Dynamics of a Dual-Target HIV Model with Time Delays and Treatment Implications
We present a comprehensive mathematical analysis of a within-host dual-target HIV dynamics model, which explicitly incorporates the virus’s interactions with its two primary cellular targets: CD4+ T cells and macrophages.
Hanan H. Almuashi, Miled El Hajji
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Inverse Problems and Data Assimilation
These notes are designed with the aim of providing a clear and concise introduction to the subjects of Inverse Problems and Data Assimilation, and their inter-relations, together with citations to some relevant literature in this area.
Sanz-Alonso, Daniel +2 more
core
Helmholtz equation with artificial boundary conditions in a two-dimensional waveguide [PDF]
Makridakis, Ch. +2 more
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Simultaneous Numerical Determination of Two Time-dependent Coefficients in Second Order Parabolic Equation With Nonlocal Initial and Boundary Conditions. [PDF]
A J Al-Shatrah M, Sabah Hussein M.
europepmc +1 more source

