• A Basic Backward Bifurcation Model in Epidemiology 

      Villavicencio Pulido, José Geiser; Barradas Bribiesca, José Ignacio; Hernández Gómez, Juan Carlos (Applied Mathematical Sciences, 2013-06-11)
      The existence of a backward bifurcation has important consequences in the strategies and control policies designed to eradicate or control an infectious disease because the policies of public health when this phenomenon ...
    • Approximation to the study of water quality 

      Pineda Pineda, Jair de Jesús; Rosas Acevedo, Jose Luis; Hernández Gómez, Juan Carlos; Rosario Cayetano, Omar; Sigarreta Almira, José María (Applied Mathematical Sciences, 2018-03-25)
      The main objective of this study is to propose a discrete approach to water quality study, applied to freshwater ecosystems, through the uctuations in the populations of benthic macroinvertebrates and their tolerance to pollution.
    • El contraejemplo en la elaboración de la definición de función convexa por estudiantes universitarios 

      Morales Carballo, Armando; Sigarreta Almira, José María; Locia Espinoza, Edgardo; Hernández Gómez, Juan Carlos (Información tecnológica, 2019-02)
      In this paper the results of an investigation that aimed to identify the role played by the counterexample in the elaboration of mathematical definitions are reported. In particular, the case of the convex function; in a ...
    • Generating Function: Multiple Orthogonal Polynomials 

      Hernández Gómez, Juan Carlos; Sigarreta Almira, José María; Carballosa Torres, Walter (Applied Mathematical Sciences, 2016-03-09)
      At present, interest in the study of multiple orthogonal polynomials has increased due to the development of simultaneous rational approximation of functions and the link between the two theories. Orthogonal polynomials ...
    • Mathematical aspects on the harmonic index 

      Hernández Gómez, Juan Carlos; Romero Valencia, Jesus; Reyes Carreto, Ramon (International Journal of Mathematical Analysis, 2017-01)
      The aim of this paper is to obtain new inequalities involving the harmonic index H(G) to other well-known topological indices. Moreover, we show that the computation of the harmonic index is reduced to the computation of ...
    • Mathematical Properties of the Hyperbolicity of Circulant Networks 

      Hernández Gómez, Juan Carlos; Sigarreta Almira, José María (Hindawi Publishing Corporation Advances in Mathematical Physics, 2015-07-24)
      The first works on Gromov hyperbolic spaces deal with finitely generated groups. Initially, Gromov spaces were applied to the study of automatic groups in the science of computation; indeed, hyperbolic groups are strongly ...
    • Methodology based on problem solving in the treatment of the concept of limit to infinity 

      Morales Carballo, Armando; Dolores-Flores, Crisólogo; Nolasco Hesiquio, Hermes; Hernández Gómez, Juan Carlos; Sigarreta Almira, José María (International Journal of Research in Education Methodology, 2014-01)
      In this research, a methodological strategy it is raised for the assimilation of the concept of infinity limit in the teaching and learning of calculus at the University level. The strategy considers the contributions and ...
    • On the total k-domination in graphs 

      Hernández Gómez, Juan Carlos; Sigarreta Almira, José María (Discussiones Mathematicae, 2018-01)
      Let G = (V, E) be a graph; a set S V is a total k-domination number (G) is the minimum cardinality among all total k-dominating sets. In this paper we obtain several tight bounds for the total k-domination number of a ...