• 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 ...
• Self-financing model for cabbage crops with pest management 

  Kambeu Youmbi, Aurelien; Touzeau, Suzanne; Grognard, Frédéric; Tsanou, Berge (Elsevier, 2024-12)

  Smallholder farmers rely on their farm earnings to cover operating costs and generate income. That is not an easy task because of the pests, which reduce yields and generate plant protection costs. The farm yield and plant ...
• LCD codes constructed from weakly-self-orthogonal 1-designs 

  Crnkovic, Vedrana Mikulic; Traunkar, Ivona; Rodrigues, Bernardo G. (American Institute of Mathematical Sciences, 2024)

  By a suitable extension of incidence matrices, orbit matrices, and submatrices of orbit matrices of weakly p-self-orthogonal 1-designs, in this paper we describe a construction of LCD codes over a finite field. To ...
• On compact packings of Euclidean space with spheres of finitely many sizes 

  Messerschmidt, Miek; Kikianty, Eder (Springer, 2024-02)

  Please read abstract in the article.
• Dynamics of a two-group model for assessing the impacts of pre-exposure prophylaxis, testing and risk behaviour change on the spread and control of HIV/AIDS in an MSM population 

  Tollett, Queen; Safdar, Salman; Gumel, Abba B. (KeAi Communications, 2024-03)

  Although much progress has been made in reducing the public health burden of the human immunodeficiency virus (HIV), which causes acquired immunodeficiency syndrome (AIDS), since its emergence in the 1980s (largely due to ...
• Simulating credit loss distributions: empirical versus the Vasicek model 

  Milonas, Natasa; Van Vuuren, Gary (EconJournals, 2024-03)

  Because credit losses can be substantial, managing credit risk is a focus area of risk measurement and management. It is important for financial institutions to select credit risk models that accurately forecast losses. ...
• Elementary equivalence in positive logic via prime products 

  Moraschini, Tommaso; Wannenburg, Johann Joubert; Yamamoto, Kentaro (Cambridge University Press, 2024)

  We introduce prime products as a generalization of ultraproducts for positive logic. Prime products are shown to satisfy a version of Łoś’s Theorem restricted to positive formulas, as well as the following variant of the ...
• Direct limits in categories of normed vector lattices and Banach lattices 

  Ding, Chun; De Jeu, Marcel (Springer, 2023-07)

  After collecting a number of results on interval and almost interval preserving linear maps and vector lattice homomorphisms, we show that direct systems in various categories of normed vector lattices and Banach lattices ...
• Embedded unbounded order convergent sequences in topologically convergent nets in vector lattices 

  Deng, Yang; De Jeu, Marcel (Springer, 2024-03)

  We show that, for a class of locally solid topologies on vector lattices, a topologically convergent net has an embedded sequence that is unbounded order convergent to the same limit. Our result implies, and often improves, ...
• A hospital demand and capacity intervention approach for COVID-19 

  Van Yperen, James; Campillo-Funollet, Eduard; Inkpen, Rebecca; Memon, Anjum; Madzvamuse, Anotida (Public Library of Science, 2023-05-03)

  The mathematical interpretation of interventions for the mitigation of epidemics in the literature often involves finding the optimal time to initiate an intervention and/or the use of the number of infections to manage ...
• Schistosomiasis mathematical model in a spatially heterogeneous environment 

  Nkuimeni, Franck Eric Thepi; Tsanou, Berge (Elsevier, 2024-08)

  Please read abstract in the article.
• The impact of demography in a model of malaria with transmission-blocking drugs 

  Ouifki, Rashid; Banasiak, Jacek; Tchoumi, Stephane Y. (Wiley, 2024-08)

  In this paper, we develop and analyze a mathematical model for spreading malaria, including treatment with transmission-blocking drugs (TBDs). The paper's main aim is to demonstrate the impact the chosen model for demographic ...
• Nonstandard finite difference schemes for some epidemic optimal control problems 

  Ouemba Tassé, Arsène J.; Kubalasa, Vuyiswa B.; Tsanou, Berge; Lubuma, Jean M.-S. (Elsevier, 2025-02)

  We construct and analyse nonstandard finite difference (NSFD) schemes for two epidemic optimal control problems. Firstly, we consider the well-known MSEIR system that can be used to model childhood diseases such as the ...
• Multiscale malaria models and their uniform in-time asymptotic analysis 

  Banasiak, Jacek; Tchoumi, Stephane Yanick (Elsevier, 2024-07)

  In this paper, we show that an extension of the classical Tikhonov–Fenichel asymptotic procedure applied to multiscale models of vector-borne diseases, with time scales determined by the dynamics of human and vector ...
• About contamination by sterile females and residual male fertility on the effectiveness of the sterile insect technique. Impact on disease vector control and disease control 

  Dumont, Yves; Yatat-Djeumen, I.V. (Elsevier, 2024-04)

  Please read abstract in the article.
• Modeling the impact of rainfall and temperature on sterile insect control strategies in a tropical environment 

  Dumont, Yves; Duprez, M. (World Scientific Publishing, 2024-03)

  The sterile insect technique (SIT) is a biological control technique that can be used either to eliminate or decay a wild mosquito population under a given threshold to reduce the nuisance or the epidemiological risk. In ...
• Each friend of 10 has at least 10 nonidentical prime factors 

  Thackeray, Henry R. (Elsevier, 2024-05)

  Please read abstract in the article.
• Mathematical modelling of the interactive dynamics of wild and Microsporidia MB-infected mosquitoes 

  Mfangnia, Charlene N.T.; Tonnang, Henri E.Z.; Tsanou, Berge; Herren, Jeremy (AIMS Press, 2023-07-18)

  A recent discovery highlighted that mosquitoes infected with Microsporidia MB are unable to transmit the Plasmodium to humans. Microsporidia MB is a symbiont transmitted vertically and horizontally in the mosquito ...

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