• A domain-dependent stability analysis of reaction–diffusion systems with linear cross-diffusion on circular domains 

  Yigit, Gulsemay; Sarfaraz, Wakil; Barreira, Raquel; Madzvamuse, Anotida (Elsevier, 2024-06)

  In this study, we present theoretical considerations of, and analyse, the effects of circular geometry on the stability analysis of semi-linear parabolic PDEs of reaction–diffusion type with linear cross-diffusion for a ...
• Efficient numerical techniques for computing the Riesz fractional-order reaction-diffusion models arising in biology 

  Alqhtani, Manal; Owolabi, Kolade M.; Saad, Khaled M.; Pindza, Edson (Elsevier, 2022-08)

  In this work, the solution of Riesz space fractional partial differential equations of parabolic type is considered. Since fractional-in-space operators have been applied to model anomalous diffusion or dispersion problems ...
• Sex-structured model of Wolbachia invasion and design of sex-biased release strategies in Aedes spp mosquitoes populations 

  Bliman, Pierre-Alexandre; Dumont, Yves; Escobar-Lasso, Oscar Eduardo; Martinez-Romero, Hector J.; Vasilieva, Olga (Elsevier, 2023-07)

  Laboratory experiments as well as some field essays have revealed that the intracellular bacterium Wolbachia, deliberately introduced in Aedes spp female mosquitoes, drastically reduces their vector competence for dengue ...
• Existence of travelling waves in a spatial model of bacteria quiescence 

  Chapwanya, Michael; Dumani, Phindile (Royal Society, 2023-10)

  This work presents a reaction–diffusion model that captures the spatio-temporal evolution of a bacterial colony and takes into account the quiescent stage. Using the theory of monotone wavefronts for cooperative and partially ...
• Spatio-temporal dynamics of microbial population under nutrient-limiting conditions 

  Chapwanya, Michael; Dumani, Phindile (Elsevier, 2023-11)

  The physiological structure of microbial communities in natural environments is typically a response to changes in internal and external conditions. External conditions may include the availability of nutrients, and the ...
• Ekeland variational principle and some of its equivalents on a weighted graph, completeness and the OSC property 

  Ali, Basit; Cobzas, Stefan; Mabula, M.D. (MDPI, 2023-03)

  We prove a version of the Ekeland Variational Principle (EkVP) in a weighted graph G and its equivalence to Caristi fixed point theorem and to the Takahashi minimization principle. The usual completeness and topological ...
• Forward invariant set preservation in discrete dynamical systems and numerical schemes for ODEs: application in biosciences 

  Anguelov, Roumen; Lubuma, Jean M.-S. (Springer, 2023-09-22)

  We present two results on the analysis of discrete dynamical systems and finite difference discretizations of continuous dynamical systems, which preserve their dynamics and essential properties. The first result provides ...
• Perverse sheaves on C2 without vanishing cycles at the origin along a general plane curve with singularities 

  Djoukoue, Derille Kouemo; Nang, Philibert (Japan Academy, 2022-10)

  Generalizing MacPherson-Vilonen’s method [2] to arbitrary plane curve singularities, we provide a classification of perverse sheaves on the neighborhood of the origin in the complex plane, which are adapted to a germ of ...
• Limits of vector lattices 

  Van Amstel, Sarel Jakobus van der Walt; Van der Walt, Jan Harm (Elsevier, 2024-03)

  Please read abstract in the article.
• Temperature-associated morphological changes in an African arid-zone ground squirrel 

  Warrington, Miyako H.; Waterman, J.M. (Jane) (Oxford University Press, 2023-04)

  The ecology, life histories, and physiology of many animals are changing in response to human-induced climate change. As the Earth warms, the ability of an animal to thermoregulate becomes ecologically and physiologically ...
• Solvability and supersolvability criteria related to character codegrees 

  Madanha, Sesuai Yasha (World Scientific Publishing, 2023)

  Please read abstract in the article.
• Some well known inequalities for (h1, h2)-convex stochastic process via interval set inclusion relation 

  Afzal, Waqar; Abbas, Mujahid; Eldin, Sayed M.; Khan, Zareen A. (AIMS Press, 2023-06-14)

  This note introduces the concept of (h1, h2)-convex stochastic processes using intervalvalued functions. First we develop Hermite-Hadmard (H.H) type inequalities, then we check the results for the product of two convex ...
• Jensen, Ostrowski and Hermite-Hadamard type inequalities for h-convex stochastic processes by means of center-radius order relation 

  Abbas, Mujahid; Afzal, Waqar; Botmart, Thongchai; Galal, Ahmed M. (AIMS Press, 2023-05-04)

  Please read abstract in the article.
• Variations and extensions of the Gaussian concentration inequality, Part I 

  Fresen, Daniel J. (Taylor and Francis, 2023)

  The classical Gaussian concentration inequality for Lipschitz functions is adapted to a setting where the classical assumptions (i.e. Lipschitz and Gaussian) are not met. The theory is more direct than much of the existing ...
• On some products of finite groups 

  Ballester-Bolinches, A.; Madanha, Sesuai Yasha; Pedraza-Aguilera, M.C.; Wu, X. (Cambridge University Press, 2023-02)

  Please read abstract in the article.
• Some new generalizations of integral inequalities for harmonical cr-(h(1),h(2))-Godunova-Levin functions and applications 

  Saeed, Tareq; Afzal, Waqar; Abbas, Mujahid; Treanta, Savin; De la Sen, Manuel (MDPI, 2022-12-01)

  The interval analysis is famous for its ability to deal with uncertain data. This method is useful for addressing models with data that contain inaccuracies. Different concepts are used to handle data uncertainty in an ...
• On the classification of sub-Riemannian structures on a 5D two-step nilpotent Lie group 

  Biggs, Rory; Ntshudisane, Odirile (Episciences, 2024)

  We classify the left-invariant sub-Riemannian structures on the unique five-dimensional simply connected two-step nilpotent Lie group with two-dimensional commutator subgroup; this 5D group is the first two-step nilpotent ...
• Mathematical modeling of COVID-19 pandemic in the context of sub-Saharan Africa : a short-term forecasting in Cameroon and Gabon 

  Nkwayep, C.H.; Bowong, S.; Tsanou, Berge; Alaoui, M.A.A.; Kurths, J. (Oxford University Press, 2022-03)

  Please read abstract in the article.
• Dynamics of fractional chaotic systems with Chebyshev spectral approximation method 

  Owolabi, Kolade M.; Pindza, Edson (Springer, 2022-05)

  The dynamical behavior of chaotic processes with a noninteger-order operator is considered in this work. A lot of scientific reports have justified that modeling of physical scenarios via non-integer order derivatives is ...
• The theory of Gröbner bases and applications 

  Davies, Andrew Barnard (University of Pretoria, 2023)

  In this dissertation we explore the theory and applications of Gröbner bases, and the algorithms that allow us to compute them.

View more