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Browsing by UP Author "Anguelov, Roumen"
Now showing items 1-20 of 29
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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 ...
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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 ...
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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 ...
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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 ...
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Anguelov, Roumen; Butler, P.W.; Rohwer, Carl (Carl H.); Wild, M. (Routledge, 2015-06)Two procedures to compute the output distribution ϕS of certain stack lters S (so called erosion-dilation cascades) are given. One rests on the disjunctive normal form of S and also yields the rank selection probabilities. ...
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Anguelov, Roumen; Phiri, Avulundiah Edwin (American Institute of Physics, 2018-10)The long term properties, like co-existence and extinction, are usually determined by the demographics of the competing species or other competitive advantages. In this paper we consider the effect of conspecific support ...
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Anguelov, Roumen; Kalenda, O.F.K. (Springer, 2009)A convergence structure generalizing the order convergence structure on the set of Hausdorff continuous interval functions is defined on the set of minimal usco maps. The properties of the obtained convergence space are ...
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Anguelov, Roumen; Dumont, Yves; Lubuma, Jean M.-S.; Shillor, M. (Elsevier, 2014-01)This work is the numerical analysis and computational companion of the paper by Kamgang and Sallet [J.C. Kamgang, G. Sallet, Computation of threshold conditions for epidemiological models and global stability of the disease ...
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Usaini, Salisu; Anguelov, Roumen; Garba, Salisu M. (Elsevier, 2015-12)In this paper, we present an extended SI model of Hilker et al. (2009). In the presented model the birth rate and the death rate are both modeled as quadratic polynomials. This approach provides ample opportunity for taking ...
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Tenkam, H.M.; Anguelov, Roumen; Fedotov, I.; Shatalov, M. (Springer, 2016-08)This paper presents a new approach to the problem of coupled longitudinal and transversal propagation of stress waves in an isotropic thick and elastic rod, based on the Mindlin-Herrmann theory. The novelty is that, ...
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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 ...
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Basson, Charlise; Phiri, Avulundiah Edwin; Gandhi, Manjunath; Anguelov, Roumen; Serem, June Cheptoo; Bipath, Priyesh; Hlophe, Yvette Nkondo (Wiley, 2024-06)CTCE-9908, a CXC chemokine receptor 4 (CXCR4) antagonist, prevents CXCR4 phosphorylation and inhibits the interaction with chemokine ligand 12 (CXCL12) and downstream signalling pathways associated with metastasis. This ...
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Anguelov, Roumen; Fabris-Rotelli, Inger Nicolette (Institute of Electrical and Electronics Engineers, 2010-11)The LULU operators for sequences, that is, Ln,Un and their compositions, are extended to multidimensional arrays in a way which preserves their essential properties, e.g., consistent separation, total variation and shape ...
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Anguelov, Roumen; Rohwer, Carl (Carl H.) (NISC, 2009)The LULU operators, well known in the nonlinear multiresolution analysis of sequences, are extended to functions defined on a continuous domain, namely, a real interval. We show that the extended operators replicate the ...
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Brettschneider, Helene; Anguelov, Roumen; Chimimba, Christian Timothy; Bastos, Armanda D.S. (Taylor & Francis, 2012-11-12)We postulate that the large difference in infection prevalence, 24% versus 5%, in R. norvegicus and R. rattus, respectively, between these two co-occurring host species may be due to differences in ectoparasite and potential ...
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Anguelov, Roumen; Dumont, Yves; Lubuma, Jean M.-S. (Elsevier, 2012-08)The Sterile Insect Technology (SIT) is a nonpolluting method of control of the invading insects that transmit disease. The method relies on the release of sterile or treated males in order to reduce the wild population ...
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Anguelov, Roumen; Lubuma, Jean M.-S.; Minani, Froduald (Wiley-Blackwell, 2010-01)A usual way of approximating Hamilton-Jacobi equations is to couple space finite element discretization with time finite difference discretization. This classical approach leads to a severe restriction on the time step ...
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Anguelov, Roumen; Berge, Tsanou; Chapwanya, Michael; Djoko, J.K. (Jules Kamdem); Kama, P.; Lubuma, Jean M.-S.; Terefe, Y. (Taylor and Francis, 2020)We provide effective and practical guidelines on the choice of the complex denominator function of the discrete derivative as well as on the choice of the nonlocal approximation of nonlinear terms in the construction of ...
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Anguelov, Roumen; Borisov, Milen; Iliev, Anton; Kyurkchiev, Nikolay; Markov, Svetoslav (Wiley, 2018-12)Growth models are often used when modelling various processes in life sciences, ecology, demography, social sciences, etc. Dynamical growth models are usually formulated in terms of an ODE (system of ODS's) or by an explicit ...
Now showing items 1-20 of 29