Browsing Research Articles (Mathematics and Applied Mathematics) by Title

Browsing Research Articles (Mathematics and Applied Mathematics) by Title

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  • Backward bifurcation analysis for two continuous and discrete epidemiological models  
    Anguelov, Roumen; Dukuza, Njengele Kenneth Kennedy; Lubuma, Jean M.-S. (Wiley, 2018-12)
    The bifurcation analysis of a continuous n‐dimensional nonlinear dynamical system with a nonhyperbolic equilibrium point is done by using the main theorem in the work of Castillo‐Chavez and Song. We derive an analog of ...
  • Backward bifurcation analysis of epidemic model with partial immunity 
    Anguelov, Roumen; Garba, Salisu M.; Usaini, Salisu (Elsevier, 2014-11)
    This paper presents a two stage SIS epidemic model in animal population with bovine tuberculosis (BTB) in African buffalo as a guiding example. The proposed model is rigorously analyzed. The analysis reveals that the ...
  • Banking regulations : an examination of the failure of African Bank using Merton’s structural model 
    Sanderson, Leon B.; Mare, Eben; De Jongh, Dawie C.J. (Academy of Science of South Africa, 2017-07)
    The business of banking involves the taking of deposits and the making of loans. Banking balance sheets are typically highly leveraged, with equity capital generally dwarfed by debt capital. Banks are regulated entities; ...
  • Barycentric spectral domain decomposition methods for valuing a class of infinite activity Lévy models 
    Pindza, Edson; Youbi, Francis; Mare, Eben; Davison, Matt (American Institute of Mathematical Sciences, 2019-06)
    A new barycentric spectral domain decomposition methods algorithm for solving partial integro-differential models is described. The method is applied to European and butterfly call option pricing problems under a class of ...
  • Basic operations on hypersoft sets and hypersoft point 
    Abbas, Mujahid; Murtaza, Ghulam; Smarandache, Florentin (University of New Mexico, 2020)
    The aim of this paper is to initiat formal study of hypersoft sets. We first, present basic operations like union, intersection and difference of hypersoft sets; basic ingrediants for topological structures on the ...
  • Best proximity point results for almost contraction and application to nonlinear differential equation 
    Hussain, Azhar; Abbas, Mujahid; Adeel, Muhammad; Kanwal, Tanzeela (Department of Mathematics, 2020)
    Berinde introduced almost contraction mappings and proved Banach contraction principle for such mappings. The aim of this paper is to introduce the notion of multivalued almost Θ- contraction mappings and to prove some ...
  • Best proximity point results in generalized metric spaces 
    Saleem, Naeem; Abbas, Mujahid; Farooq, Sadia (Mathematical Association of Thailand, 2022-06)
    In this paper we define a new class of mappings called (θ, α+)- proximal admissible contractions and obtain a unique best proximity point for such mappings in the setting of complete generalized metric space. Our result ...
  • Beta estimates of shares on the JSE Top 40 in the context of reference-day risk 
    Baker, Christopher; Rajaratnam, Kanshukan; Flint, Emlyn James (Springer, 2016-06)
    A topic of interest in the finance world is measuring systematic risk. Accurately measuring the systematic risk component - or Beta - of an asset or portfolio is important in many financial applications. In this work, ...
  • Bi-stable dynamics of a host-pathogen model 
    Anguelov, Roumen; Bekker, Rebecca; Dumont, Yves (Biomath Forum, 2019-01-23)
    Crop host-pathogen interaction have been a main issue for decades, in particular for food security. In this paper, we focus on the modeling and long term behavior of soil-borne pathogens. We first develop a new ...
  • Bifurcation analysis of a computer virus propagation model 
    Dukuza, Njengele Kenneth Kennedy (Hacettepe University, 2021)
    We propose a mathematical model for investigating the efficacy of Countermeasure Competing (CMC) strategy which is a method for reducing the effect of computer virus attacks. Using the Centre Manifold Theory, we determine ...
  • Bifurcation analysis of a phage-bacteria interaction model with prophage induction 
    Teytsa, Hyacinthe M. Ndongmo; Tsanou, Berge; Bowong, Samuel; Lubuma, Jean M.-S. (Oxford University Press, 2021-03)
    Please read abstract in the article.
  • The big unknown : the asymptomatic spread of COVID-19 
    Anguelov, Roumen; Banasiak, Jacek; Bright, Chelsea; Lubuma, Jean M.-S.; Ouifki, Rachid (Biomath Forum, 2020-05)
    The paper draws attention to the asymptomatic and mildly symptomatic cases of COVID-19, which, according to some reports, may constitute a large fraction of the infected individuals. These cases are often unreported and ...
  • Binary recurrences for which powers of two are discriminating moduli 
    De Clercq, Adriaan; Luca, Florian; Martirosyan, Lilit; Matthis, Maria; Moree, Pieter; Stoumen, Max A.; Weiss, Melvin (University of Waterloo, 2020-11)
    Given a sequence of distinct positive integers w0,w1,w2, . . . and any pos- itive integer n, we define the discriminator function Dw(n) to be the smallest positive integer m such that w0, . . . ,wn−1 are pairwise incongruent ...
  • BIOMATH 2012 
    Anguelov, Roumen; Markov, Svetoslav (Elsevier, 2013-11)
    No abstract
  • Biometric information recognition using artificial intelligence algorithms : a performance comparison 
    Abdullahi, Sanusi; Khunpanuk, Chainarong; Bature, Zakariyya; Chiroma, Haruna; Pakkaranang, Nuttapol; Abubakar, Auwal Bala; Ibrahim, Abdulkarim (Institute of Electrical and Electronics Engineers, 2022-05-02)
    Addressing crime detection, cyber security and multi-modal gaze estimation in biometric information recognition is challenging. Thus, trained artificial intelligence (AI) algorithms such as Support vector machine (SVM) ...
  • A blended learning Grade 12 intervention using DVD technology to enhance the teaching and learning of mathematics 
    Padayachee, Pragashni; Boshoff, Hennie; Olivier, Werner; Harding, Ansie (Association of Mathematics Education of South Africa, 2011-09-13)
    This article describes the experiences and mathematics performance of Grade 12 learners selected to participate in a mathematics intervention project using digital video disk (DVD) technology within a blended learning ...
  • Boundary switch on/off control approach to simultaneous identification of diffusion coefficient and initial state for one-dimensional heat equation 
    Zhao, Zhi-Xue; Banda, M.K. (Mapundi); Guo, Bao-Zhu (American Institute of Mathematical Sciences, 2020-07)
    In this paper, we consider simultaneous reconstruction of diffusion coefficient and initial state for a one-dimensional heat equation through boundary control and measurement. The boundary measurement is proposed to make ...
  • Bounds for extreme zeros of some classical orthogonal polynomials 
    Driver, Kathy (Cathryn Helena Stanford); Jordaan, Kerstin Heidrun (Elsevier`, 2012-09)
    We use mixed three term recurrence relations typically satis ed by classical orthogonal polynomials from sequences corresponding to di erent parameters to derive upper (lower) bounds for the smallest (largest) zeros ...
  • Bounds for zeros of Meixner and Kravchuk polynomials 
    Jooste, Alta; Jordaan, Kerstin Heidrun (Cambridge University Press, 2014-04)
    The zeros of certain different sequences of orthogonal polynomials interlace in a well-defined way. The study of this phenomenon and the conditions under which it holds lead to a set of points that can be applied as bounds ...
  • A BSD formula for high-weight modular forms 
    Thackeray, Henry (Maya) Robert (Elsevier, 2022-05)
    Please read abstract in the article.