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Solving stochastic epidemiological models using computer algebra
(SPIE-INT SOC OPTICAL ENGINEERING, 2011-01-01)
Mathematical modeling in Epidemiology is an important tool to understand the ways under which the diseases are transmitted and controlled. The mathematical modeling can be implemented via deterministic or stochastic models. ...
Possible quantum algorithms for the Bollobás-Riordan-Tutte polynomial of a ribbon graph
(SPIE-INT SOC OPTICAL ENGINEERING, 2008-01-01)
Three possible quantum algorithms, for the computation of the Bollobás-Riordan-Tutte polynomial of a given ribbon graph, are presented and discussed. The first possible algorithm is based on the spanning quasi-trees expansion ...
Analysis of a generalized model for influenza including differential susceptibility due to immunosuppression
(SPIE-INT SOC OPTICAL ENGINEERING, 2014-01-01)
Recently, a mathematical model of pandemic influenza was proposed including typical control strategies such as antivirals, vaccination and school closure; and considering explicitly the effects of immunity acquired from ...
Computing Tutte polynomials of contact networks in classrooms
(SPIE-INT SOC OPTICAL ENGINEERING, 2013-01-01)
Objective: The topological complexity of contact networks in classrooms and the potential transmission of an infectious disease were analyzed by sex and age. Methods: The Tutte polynomials, some topological properties and ...