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Now showing items 11-19 of 19
Numerical Studies For M-Matrix Algebraic Riccati Equations
(Mathematics, 2013-10-22)
A new doubling algorithm - Alternating-Directional Doubling Algorithm (ADDA) - is developed for computing the unique minimal nonnegative solution of an M-Matrix Algebraic Riccati Equation (MARE). It is argued by both ...
The Polynomial Chaos Method With Applications To Random Differential Equations
(Mathematics, 2013-10-22)
The role of randomness in mathematical models is of paramount importance, with emphasis placed upon the accuracy and reliability of predictions a rational approach is the use of differential equations with random parameters ...
Optimal Stopping For Markov Modulated Ito-diffusion With Applications To Finance
(Mathematics, 2013-07-22)
Despite the outstanding success of the Black-Scholes model, it relies on the assumption that drift and volatility of the underlying equity remain constant throughout time. This inaccuracy has motivated a number of interesting ...
Identifying Critical Regions for Spike Propagation in Axon Segments
(Springer, 2013-07)
**Please note that the full text is embargoed** ABSTRACT: Morphological reconstructions of axon segments reveal the abundance of geometrical ultrastructures that can dramatically affect the propagation of Action Potentials ...
Influence of vectors' risk-spreading strategies and environmental stochasticity on the epidemiology and evolution of vector-borne diseaes: the example of Chagas' disease
(Public Library of Science, 2013)
Insects are known to display strategies that spread the risk of encountering unfavorable conditions, thereby decreasing the extinction probability of genetic lineages in unpredictable environments. To what extent these ...
Metering effects in population systems
(American Institute of Mathematical Sciences, 2013)
This study compares the effects of two types of metering (periodic resetting and periodic increments) on one variable in a dynamical system, relative to the behavior of the corresponding system with an equivalent level of ...
Sociological phenomena as multiple nonlinearities: MTBI's new metaphor for complex human interactions
(American Institute of Mathematical Sciences, 2013)
Mathematical models are well-established as metaphors for biological and epidemiological systems. The framework of epidemic modeling has also been applied to sociological phenomena driven by peer pressure, notably in two ...
Influence of environmental factors on college alcohol drinking patterns
(American Institute of Mathematical Sciences, 2013)
Alcohol abuse is a major problem, especially among students on and around college campuses. We use the mathematical framework of [16] and study the role of environmental factors on the long term dynamics of an alcohol ...
The Mathematical and Theoretical Biology Institute - a model of mentorship through research
(American Instutute of Mathematical Sciences, 2013)
This article details the history, logistical operations, and design philosophy of the Mathematical and Theoretical Biology Institute (MTBI), a nationally recognized research program with an 18-year history of mentoring ...