Browsing Christopher Kribs, Ph.D. by Title
Now showing items 27-35 of 35
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The role of adaptations in two-strain competition for sylvatic Trypanosoma cruzi transmission
(Taylor and Francis OnlineDepartment of Mathematics, University of Texas at Arlington, 2012-08)This study presents a continuous-time model for the sylvatic transmission dynamics of two strains of Trypanosoma cruzi enzootic in North America, in order to study the role that adaptations of each strain to distinct modes ... -
The role of the ratio of vector and host densities in the evolution of transmission modes in vector-borne diseases. The example of sylvatic Trypanosoma cruzi
(Department of Mathematics, University of Texas at Arlington, 2012)Pathogens may use different routes of transmission to maximize their spread among host populations. Theoretical and empirical work conducted on directly-transmitted diseases suggest that horizontal (i.e., through host ... -
SENDing MORE MONEY in any base
(Mathematical Association of AmericaDepartment of Mathematics, University of Texas at Arlington, 2006)One of the most significant conceptual jumps involved in algebra is the use of letters (and other symbols) to represent numbers. One way to get students used to this notion is via puzzles. This paper describes a ... -
Sharpness of saturation in harvesting and predation
(American Institute of Mathematical SciencesMathematics Department, University of Texas at Arlington, 2009-10)Harvesting and predation occur through contact processes in which the rate at which the managed (prey) population can be found depends on the population size, usually saturating at high densities. Many models incorporate ... -
A simple vaccination model with multiple endemic states
(ElsevierDepartment of Mathematics, University of Texas at Arlington, 2000)A simple two-dimensional SIS model with vaccination exhibits a backward bifurcation for some parameter values. A two-population version of the model leads to the consideration of vaccination policies in paired border towns. ... -
Sociological phenomena as multiple nonlinearities: MTBI's new metaphor for complex human interactions
(American Institute of Mathematical SciencesDepartment of Mathematics, University of Texas at Arlington, 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 ... -
Transmission dynamics and underreporting of Kala-azar in the Indian State of Bihar
(Department of Mathematics, University of Texas at Arlington, 2010)"Kala-azar" (or Indian Visceral Leishmaniasis) is a vector-borne infectious dis- ease affecting communities in tropical and subtropical areas of the world. Bihar, a state in India, has one of the highest prevalence and ... -
Vaccination strategies and backward bifurcation in age-since-infection structured model
(ElsevierDepartment of Mathematics, University of Texas at Arlington, 2002)We consider models for a disease with acute and chronic infective stages, and variable infectivity and recovery rates, within the context of a vaccination campaign. Models for SIRS and SIS disease cycles exhibit backward ... -
Vector consumption and contact process saturation in sylvatic transmission of T. cruzi
(Taylor & FrancisDepartment of Mathematics, University of Texas at Arlington; Universidad de Colima, Mexico, 2006)Recent research in the transmission of the protozoan parasite Trypanosoma cruzi, some strains of which cause Chagas’ disease, suggests that consumption of vectors by sylvatic hosts such as raccoons may play a role in ...