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Advancements And Applications Of Nonstandard Finite Difference Methods
A class of dynamically consistent numerical methods are analyzed for general n-dimensional productive-destructive systems (PDS). Using this analysis, a methodology for constructing positive and elementary stable nonstandard ...
Effects Of Vector Migration On Sylvatic Trypanosoma Cruzi Transmission
(Mathematics, 2012-07-25)
Vector-borne diseases have had a major impact on global health concerns since their discovery in the 1800's. A vector-borne disease is one transmitted to human or animal host via an invertebrate vector (usually an insect). ...
Regular Algebras Related To Regular Graded Skew Clifford Algebras Of Low Global Dimension
(Mathematics, 2011-10-11)
M. Artin, W. Schelter, J. Tate, and M. Van den Bergh introduced the notion of non-commutative regular algebras, and classified regular algebras of global dimension 3 on degree-one generators by using geometry (i.e., point ...
From Discrete To Continuous Models Of Cell Movement: An Application To Medical Implants
(Mathematics, 2013-03-20)
Mathematical modeling of cell movement is needed to aid in the deeper understanding of vital processes such as embryogenesis, angiogenesis, tumor metastasis, and immune reactions to foreign bodies. In this work, cell ...
The Generalized Two-component Hunter-Saxton System
(Mathematics, 2013-07-22)
This thesis is concerned with the generalized two-component Hunter-Saxton system. In the periodic setting, we study the wave-breaking phenomenon and global existence for the generalized two-component Hunter-Saxton system. ...
Analysis And Simulation In Neuron And Fibrosis Models
(Mathematics, 2009-09-16)
In this work, we use analysis and numerical simulations to study the change of collective behaviorof two synaptically coupled square bursting systems, the effect of noise inan elliptic bursting system and foreign body ...
A Mathematical Model For Swine Flu 2009 With Vaccination
(Mathematics, 2011-10-11)
H1N1 influenza is one of the deadliest diseases in human's history. Swine Flu 2009 is the same virus and it was named in 2009. Vaccination is of the most common ways to control a disease. We offer a new vaccination model ...
A Snapshot Of Advanced High School Students' Understanding Of Continuity
(Mathematics, 2011-07-14)
We report on a study of sixteen high school calculus and seven precalculus students' concept image and concept definition of continuity after one-trimester of instruction at a large suburban high school in the southwestern ...
An Investigation Of The Conceptual Understanding Of Continuity And Derivatives In Calculus Of Emerging Scholars Versus Non-emerging Scholars Program Students
(Mathematics, 2011-07-14)
The Emerging Scholars Program (ESP) has been adapted at colleges and universities across the nation in efforts to increase student access to Science, Technology, Engineering and Mathematics (STEM) disciplines. This study ...
High Order Compact Scheme For Discontinuous Differential Equations
(Mathematics, 2011-07-14)
A high order implicit second derivative compact method is given which is similar the Adams-Moulton method, but requiring only two steps for sixth order. This method is used in both predictor-corrector and Newton's method ...