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Research Articles (Mathematics and Applied Mathematics)
Recent Submissions
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Grigoryeva, Lyudmila; Grigoryeva, Lyudmila; Kemeth, Felix P.; Kevrekidis, Yannis; Manjunath, Gandhi; Ortega, Juan-Pablo; Steynberg, Matthys J.
(Elsevier, 2024-12)
Using short histories of observations from a dynamical system, a workflow for the post-training initialization
of reservoir computing systems is described. This strategy is called cold-starting, and it is based on a ...
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Jooste, Alta; Jordaan, Kerstin Heidrun
(Elsevier, 2025-05)
Please read abstract in the article.
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Yigit, Gulsemay; Sarfaraz, Wakil; Barreira, Raquel; Madzvamuse, Anotida
(World Scientific Publishing, 2025-04)
In this work, the influences of geometry and domain size on spatiotemporal pattern formation are investigated to establish the parameter spaces for a cross-diffusive reaction–diffusion model on an annulus. By applying the ...
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Levendis, Alexis; Mare, Eben
(Operations Research Society of South Africa, 2024-07)
In this paper, we test the performance of a static hedging strategy for a long-dated European call option and European spread call option in South Africa. The stochastic volatility
double jump (SVJJ) model is calibrated ...
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Pokam Kakeu, Achille Landri
(Tamkang University, 2025-02)
The current work deals with initial boundary value parabolic problems with Preisach hysteresis whose the density functions are allowed to depend on the variable of space. The model contains nonlinear monotone operators in ...
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Hariparsad, Sanveer; Mare, Eben
(MDPI, 2024-11)
In this paper, we analysed several emerging market (EM) and developed market (DM)
sovereign yield curves to identify the proportion of parallel and non-parallel shifts over time. We
found that non-parallel shifts are ...
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Alatawi, Adel; Gumel, Abba B.
(AIMS Press, 2024-07)
A new mathematical model for the transmission dynamics and control of the Middle Eastern
respiratory syndrome (MERS), a respiratory virus caused by MERS-CoV coronavirus (and primarily
spread to humans by dromedary camels) ...
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Simelane, Bridgette Makhosazana; Engelbrecht, Johann
(Springer, 2024-08)
This study focuses on students who are registered for the University of Pretoria’s
academic development programme, the Four-year Programme (FYP). The programme
was introduced as a gateway for students who are under-prepared ...
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Dragomir, Sever S.; Kikianty, Eder
(Universidad de la Frontera, 2024-12)
Please read abstract in the article.
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Pant, Binod; Safdar, Salman; Ngonghala, Calistus N.; Gumel, Abba B.
(Springer, 2025-03)
This study presents a wastewater-based mathematical model for assessing the transmission dynamics of the SARS-CoV-2 pandemic in Miami-Dade County, Florida. The model, which takes the form of a deterministic system of ...
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Frittelli, Massimo; Madzvamuse, Anotida; Sgura, Ivonne
(Springer, 2024-08-31)
We present a Virtual Element MATLAB solver for elliptic and parabolic, linear and
semilinear Partial Differential Equations (PDEs) in two and three space dimensions,
which is coined VEMcomp. Such PDEs are widely applicable ...
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Bobrowski, Adam; Madzvamuse, Anotida; Ratajczyk, Elżbieta
(Elsevier, 2025-05)
We study a system of coupled bulk-surface partial differential equations (BS-PDEs), describing changes in concentration of certain proteins (Rho GTPases) in a living cell. These proteins, when activated, are bound to the ...
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Tassé, Arsène Jaures Ouemba; Tsanou, Berge; Kum, Cletus K.; Lubuma, Jean
(Oxford University Press, 2024-08)
Please read abstract in article.
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Ahmadini, Abdullah Ali H.; Afzal, Waqar; Abbas, Mujahid; Aly, Elkhateeb S.
(MDPI, 2024-02)
This note introduces a new class of preinvexity called (h1, h2)-Godunova-Levin preinvex
functions that generalize earlier findings. Based on these notions, we developed Hermite-Hadamard,
weighted Fejér, and trapezium ...
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Rodrigues, Bernardo G.; Russo, Francesco G.
(MDPI, 2024-04)
Please read abstract in the article.
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Tasse, Arsene Jaures Ouemba; Tsanou, Berge; Woukeng, Jean Louis; Lubuma, Jean M.-S.
(MDPI, 2024-12)
We construct a new metapopulation model for the transmission dynamics and control of the Ebola Virus Disease
(EVD) in an environment characterized by considerable migrations and travels of people. It is an extended ...
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Afzal, Waqar; Breaz, Daniel; Abbas, Mujahid; Cotirla, Luminita-Ioana; Khan, Zareen A.; Rapeanu, Eleonora
(MDPI, 2024-04-19)
The aim of this paper is to introduce a new type of two-dimensional convexity by using totalorder
relations. In the first part of this paper, we examine the Hyers–Ulam stability of two-dimensional
convex mappings by using ...
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Bliman, P.-A.; Cardona-Salgado, D.; Dumont, Yves; Vasilieva, O.
(Springer, 2024-03)
The vector or pest control is essential to reduce the risk of vector-borne diseases or crop losses. Among the available biological control tools, the sterile insect technique (SIT) is one of the most promising. However, ...
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Danquah, Baaba A.; Chirove, Faraimunashe; Banasiak, Jacek
(Springer, 2025-03)
A climate-based metapopulation malaria model is formulated by incorporating human travel between zones with varying climatic factors, effective and counterfeit drug treatments, and time-periodic parameters for the mosquito ...
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Hernandez-Aristizabal, David; Garzon-Alvarado, Diego-Alexander; Duque-Daza, Carlos-Alberto; Madzvamuse, Anotida
(Elsevier, 2024-12)
In this work, we present a mechanobiochemical model for two-dimensional cell migration which couples
mechanical properties of the cell cytosol with biochemical processes taking place near or on the cell plasma
membrane. ...
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