Research ArticleOpen accessIn the keywordsMathematical Analysis of the Non Linear Epidemic ModelLaid Chahrazed-Rahmani Fouad LazharClassical epidemic models assume that the size of the total population is constant. More recent models consider a population size variable to take into account a longer period with death and disease causing reduced reproductive. The model contains a disease-free equilibrium and one or multiple equilibria are endemic. The stability of a disease-free status equilibrium and the existence of other … …Journal of Mathematics and Statistics, Vol. 8, Issue 2 · 19 Jun 2012 · 7,173 accessesView PDFCite
Research ArticleOpen accessIn the keywordsGlobal Behavior of a Higher Order Difference EquationAlaa E. Hamza, R. Khalaf-AllahIn this work we study the asymptotic stability of the nonnegative equilibrium points of the difference equation. We discuss the conditions under which there exist prime period two solutions and semicycles. Finally we investigate the oscillation and the existence of unbounded solutions. …Journal of Mathematics and Statistics, Vol. 3, Issue 1 · 31 Mar 2007 · 7,059 accessesView PDFCite
Research ArticleOpen accessIn the keywordsPositive Solutions for Some Weighted Elliptic ProblemsHanadi ZahedIn this study, we study the existence and the nonexistence of positive solutions for the following nonlinear elliptic problems: (P) where, Ω is a regular bounded domain in ℝ , N ≥ 2, a(x) is a smooth function on and f(x, s) is asymptotically linear in s at infinity, that is = ℓ < ∞. We will prove that the … …Journal of Mathematics and Statistics, Vol. 16, Issue 1 · 21 Jul 2020 · 6,118 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA Permutation Test for Comparing Two Correlated Receiver Operating Characteristic CurvesOkeh Uchechukwu Marius, Onyeagu SidneyThe area under the Receiver Operating Characteristic (ROC) curve (AUC) is a summary measure when comparing two ROC curves. However, this summary measure is less informative when two ROC curves cross and have the same AUCs. In order to detect differences between ROC curves and to be able to tackle the problem of exchangeability of the labels between two diagnostic … …Journal of Mathematics and Statistics, Vol. 16, Issue 1 · 24 May 2020 · 8,132 accessesView PDFCite
Research NotesOpen accessIn the keywordsNew Research Perspectives on Thermostatted Kinetic ModelsCarlo BiancaThis paper presents the new research directions that can be followed in the modeling of complex living systems by means of the tools of the thermostatted kinetic theory. The main aim is to invite the researchers that work in the field of applied mathematics to contribute to further developments of the theory with particular attention to applications in biology, crowds … …Journal of Mathematics and Statistics, Vol. 11, Issue 1 · 9 Jun 2015 · 6,661 accessesView PDFCite
Research ArticleOpen accessIn the keywordsOn the Transformation T+m Due Gray and ClarkKacem BelghabaWe determine the values of the integer m for which the parametric transformation T+m due Gray and Clark is well conditionned. This process of acceleration being quasilinear transformation, we use an adequate definition of the condition numbers that apply to the real sequences of linear convergence. The results obtained for this set are enough meaning …Journal of Mathematics and Statistics, Vol. 3, Issue 4 · 31 Dec 2007 · 6,547 accessesView PDFCite
Research ArticleOpen accessIn the keywordsStability of Non-Neutral and Neutral Dynamic Switched Systems Subject to Internal DelaysM. De la Sen, J. L. Malaina, A. Gallego, J. C. SotoThis study deals with the quadratic stability and linear state-feedback and output-feedback stabilization of switched delayed linear dynamic systems with, in general, a finite number of non commensurate constant internal point delays. The results are obtained based on Lyapunov’s stability analysis via appropriate Krasovsky-Lyapunov’s functionals and the related stability study is performed to obtain both delay independent and delay dependent … …American Journal of Applied Sciences, Vol. 2, Issue 10 · 31 Oct 2005 · 6,723 accessesView PDFCite
Research ArticleOpen accessIn the abstractAbsolute Measures of Interindividual Variation: A Simulation StudyJosé Moral-de la RubiaFour absolute measures and one relative measure of interindividual variability have been defined, together with their point and interval estimation (bootstrap and asymptotic), and an R script has been developed for their computation. However, further simulation studies are required to strengthen their methodological evaluation. This study focused on the three absolute measures with potentially better regularity conditions, Mean Interindividual Differences … …Journal of Mathematics and Statistics, Vol. 22, Issue 1 · 4 Aug 2026 · 965 accessesView PDFCite
Research ArticleOpen accessIn the abstractUniversal Singular Optimal Control: Affine SystemsAndres Gabriel Garcia, Juan Andrés Roteta LannesIn this study, the problem of finding an optimal controller for nonlinear systems with one input and a reference tracking signal is approached. With the problem's formulation, any desired signal can be tracked instantly with a closed-loop controller without the need for integral terms. Presentation lies at the heart of optimal control. This study, however, does not consider the integral … …American Journal of Engineering and Applied Sciences, Vol. 15, Issue 4 · 14 Dec 2022 · 5,456 accessesView PDFCite