Jorge Rebaza
Professor, Mathematics | Missouri State University
Springfield, MO, UNITED STATES
Dr. Rebaza's research interests range from showing how the brain processes language to predicting the spread of waterborne diseases.
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Biography
Dr. Jorge Rebaza teaches numerical analysis and applied mathematics at Missouri State. His recent research interests range from showing how your brain processes language to exploring a way to predict the spread of waterborne diseases.
Industry Expertise (2)
Education/Learning
Research
Areas of Expertise (4)
Numerical Analysis
Applied Mathematics
Dynamical Systems
Matrix Computations
Education (2)
Georgia Institute of Technology: PhD, Mathematics
University of Kaiserslautern, Germany: Master of Sciences, Industrial Mathematics
Affiliations (2)
- American Mathematical Society
- Mathematical Association of America
Links (3)
Media Appearances (1)
Solving Real-World Problems with High-Level Math
KSMU Ozarks Public Radio online
2015-10-20
Dr. Jorge Rebaza sees so much beauty in mathematics, it’s only natural that he finds ways to connect math to almost everything else. Rebaza, professor of mathematics, teaches numerical analysis and applied mathematics at Missouri State. His recent research interests range from showing how your brain processes language to exploring a way to predict the spread of waterborne diseases...
Minds-Eye (1)
Solving real-world problems with high-level math
Dr. Jorge Rebaza sees so much beauty in mathematics, it’s only natural that he finds ways to connect math to almost everything else ...
Articles (7)
Global stability analysis of a networked connectivity model of disease epidemics
Dynamics of Continuous, Discrete and Impulsive Systems
2016 Several mathematical models have been studied with the goal of explaining the dynamics of epidemic diseases. Special attention has been given to establishing conditions on the stability properties of disease-free and endemic equilibrium points.
Dynamics of predator-prey models with refuge, harvesting and dispersal
Quaestiones Mathematicae
June 2015 This study includes a three-dimensional model to account for the dispersal of prey to a habitat where it is unavailable to the predator.
Bifurcations and periodic orbits in variable population interactions
Communications on Pure & Applied Analysis
2013 Variable population interactions with harvesting on one of the species are studied. Existence and stability of equilibria and existence of periodic solutions are established, existence of some bifurcation phenomena are analytically and numerically studied, explicit threshold values are computed to determine the kind of interaction (mutualism, competition, host-parasite) between the species, and several numerical examples are provided to illustrate the main results in this work...
Dynamics of transitions in population interactions
Nonlinear Analysis: Real World Applications
2012 A two-species model with transitions between population interactions is studied. Rich dynamics is observed as the number and quality of equilibria change when model parameters and functional responses vary...
Dynamics of prey threshold harvesting and refuge
Journal of Computational and Applied Mathematics
2012 The dynamics of a predator–prey model with continuous threshold prey harvesting and prey refuge is studied. One central question is how harvesting and refuge could directly affect the dynamics of the ecosystem, such as the stability properties of some coexistence equilibria and periodic solutions...
Analysis of predator–prey models with continuous threshold harvesting
Applied Mathematics and Computation
2011 We formulate an alternative form of threshold harvesting and investigate its properties within the framework of a predator–prey model. Our formulation accounts for economic constraints and is defined as a continuous harvesting function of the predator species...
Nonconstant Predator Harvesting on Ratio-Dependent Predator-Prey Models
Applied Mathematical Sciences
2010 The dynamics of a ratio-dependent predator-prey model with two different non-constant harvesting functions depending on the predator population is studied...