• Homogenization of partial differential equations with Preisach operators 

  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 ...
• Optimal monetary and fiscal policies to maximise non-parallel risk premia in sovereign bond markets 

  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 ...
• Mathematical assessment of control strategies against the spread of MERS-CoV in humans and camels in Saudi Arabia 

  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) ...
• Measuring the mathematical maturity of students in an academic development programme 

  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 ...
• Perturbed weighted trapezoid inequalities for convex functions with applications 

  Dragomir, Sever S.; Kikianty, Eder (Universidad de la Frontera, 2024-12)

  Please read abstract in the article.
• Mathematical assessment of wastewater-based epidemiology to predict SARS-CoV-2 cases and hospitalizations in Miami-Dade county 

  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 ...
• VEMcomp : a virtual elements MATLAB package for bulk-surface PDEs in 2D and 3D 

  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 ...
• Existence and convergence of stochastic processes underlying a thin layer approximation of a coupled bulk-surface PDE 

  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 ...
• A mathematical model on the impact of awareness and traditional medicine in the control of Ebola : case study of the 2014-2016 outbreaks in Sierra Leone and Liberia 

  Tassé, Arsène Jaures Ouemba; Tsanou, Berge; Kum, Cletus K.; Lubuma, Jean (Oxford University Press, 2024-08)

  Please read abstract in article.
• Weighted Fejer, Hermite–Hadamard, and trapezium-type inequalities for (h1,h2–Godunova–Levin Preinvex function with applications and two open problems 

  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 ...
• A characterization of procyclic groups via complete exterior degree 

  Rodrigues, Bernardo G.; Russo, Francesco G. (MDPI, 2024-04)

  Please read abstract in the article.
• A metapopulation model with exit screening measure for the 2014–2016 West Africa Ebola virus outbreak 

  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 ...
• Hyers–Ulam stability of 2D-convex mappings and some related new Hermite–Hadamard, Pachpatte, and Fejér Type integral inequalities using novel fractional integral operators via totally interval-order relations with open problem 

  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 ...
• Optimal control approach for implementation of sterile insect techniques 

  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, ...
• A climate-based metapopulation malaria model with human travel and treatment 

  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 ...
• A bulk-surface mechanobiochemical modelling approach for single cell migration in two-space dimensions 

  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. ...
• On pretabular extensions of relevance logic 

  Fallahi, Asadollah; Raftery, James G. (Springer, 2024-10)

  We exhibit infinitely many semisimple varieties of semilinear De Morgan monoids (and likewise relevant algebras) that are not tabular, but which have only tabular proper subvarieties. Thus, the extension of relevance ...
• Understanding the dual effects of linear cross-diffusion and geometry on reaction–diffusion systems for pattern formation 

  Sarfaraz, Wakil; Yigit, Gulsemay; Barreira, Raquel; Remaki, Lakhdar; Alhazmi, Muflih; Madzvamuse, Anotida (Elsevier, 2024-09)

  In this work, we study the dual effects of linear cross-diffusion and geometry on reaction–diffusion systems for pattern formation on rectangular domains. The spatiotemporal dynamics of the reaction–diffusion system with ...
• Hybrid retirement strategy in South Africa 

  Van Niekerk, Andries; Moutzouris, Vasili; Mare, Eben (AOSIS, 2024-09-17)

  BACKGROUND : Many retirees in South Africa face the challenge of either outliving their retirement savings or living below their means. Studies suggest a ‘safe’ withdrawal rate of between 4% and 5%, which is below the ...
• Exploiting non-parallel risk premia in the South African sovereign bond market 

  Hariparsad, Sanveer; Mare, Eben (AOSIS, 2024-05-31)

  BACKGROUND : This study focuses on diversifying fixed income attribution beyond yield and duration by identifying new risk premia applicable to various investment strategies. AIM : To identify cross-sectional bond risk ...

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