Current Search: Biomathematics (x)
-
-
Title
-
Modeling simple epidemics.
-
Creator
-
Segovia, Linda., Harriet L. Wilkes Honors College
-
Abstract/Description
-
Epidemic models help us predict the outcome of an epidemic. I will discuss and compare two simple epidemic models: a deterministic model implemented by a simple differential equation, and a stochastic model, which is more realistic, but harder to analyze. In both models we assume, for simplicity, that each individual goes through only two stages: healthy (susceptible) and sick (infective). Such models, called SI epidemic models, describe infections with no immunity. We will show that, when...
Show moreEpidemic models help us predict the outcome of an epidemic. I will discuss and compare two simple epidemic models: a deterministic model implemented by a simple differential equation, and a stochastic model, which is more realistic, but harder to analyze. In both models we assume, for simplicity, that each individual goes through only two stages: healthy (susceptible) and sick (infective). Such models, called SI epidemic models, describe infections with no immunity. We will show that, when the population gets large, the more realistic stochastic model approaches the simple deterministic model on the average, which will allow us to see that the deterministic model is used for a good reason.
Show less
-
Date Issued
-
2007
-
PURL
-
http://purl.flvc.org/FAU/40972
-
Subject Headings
-
Biomathematics, Medicine, Mathematics, Population biology, Mathematics, Epidemiology, Mathematical models
-
Format
-
Document (PDF)
-
-
Title
-
Developing combinatorial multi-component therapies (CMCT) of drugs that are more specific and have fewer side effects than traditional one drug therapies.
-
Creator
-
Liebovitch, Larry S., Tsinoremas, Nicholas, Pandya, Abhijit S.
-
Date Issued
-
2007-08-30
-
PURL
-
http://purl.flvc.org/fau/165790
-
Subject Headings
-
Drug Therapy, Biomathematics, Combinatorial dynamics, Drugs--Research, Medicine-Mathematics, Biophysics--Research, Nonlinear systems
-
Format
-
Document (PDF)
-
-
Title
-
Fractal methods to analyze ion channel kinetics.
-
Creator
-
Liebovitch, Larry S., Scheurle, Daniela, Rusek, Marian, Zochowskis, Michal
-
Date Issued
-
2001-08
-
PURL
-
http://purl.flvc.org/FAU/165246
-
Subject Headings
-
Fractals, Ion Channels-Mathematical models, Ion flow dynamics, Biomathematics, Chaotic behavior in systems
-
Format
-
Document (PDF)
-
-
Title
-
Two lessons from fractals and chaos.
-
Creator
-
Liebovitch, Larry S., Scheurle, Daniela
-
Date Issued
-
2000
-
PURL
-
http://purl.flvc.org/fau/165936
-
Subject Headings
-
Fractals, Nonlinear systems, Mathematical models, Chaos, Chaotic behavior in systems, Biomathematics
-
Format
-
Document (PDF)
-
-
Title
-
What is self organization?.
-
Creator
-
Liebovitch, Larry S.
-
Date Issued
-
2006-04 - 2006-08
-
PURL
-
http://purl.flvc.org/fau/165910
-
Subject Headings
-
Biomathematics, Biocomplexity, Self-Organizing systems, Cellular automata--mathematical models, Fractals, Molecules--Mathematical models
-
Format
-
Document (PDF)
-
-
Title
-
Migration induced epidemics: dynamics of flux-based multipatch models.
-
Creator
-
Liebovitch, Larry S., Schwartz, Ira B.
-
Date Issued
-
2004
-
PURL
-
http://purl.flvc.org/FAU/165227
-
Subject Headings
-
Communicable diseases--Epidemiology--Mathematical models, Emerging infectious diseases, Epidemiologic Methods, Epidemiology, Biomathematics, Medicine-Mathematics, Dynamics-Mathematical models
-
Format
-
Document (PDF)
-
-
Title
-
Stability analysis for singularly perturbed systems with time-delays.
-
Creator
-
Yang, Yang, Wang, Yuan, Florida Atlantic University, Charles E. Schmidt College of Science, Department of Mathematical Sciences
-
Abstract/Description
-
Singularly perturbed systems with or without delays commonly appear in mathematical modeling of physical and chemical processes, engineering applications, and increasingly, in mathematical biology. There has been intensive work for singularly perturbed systems, yet most of the work so far focused on systems without delays. In this thesis, we provide a new set of tools for the stability analysis for singularly perturbed control systems with time delays.
-
Date Issued
-
2015
-
PURL
-
http://purl.flvc.org/fau/fd/FA00004423, http://purl.flvc.org/fau/fd/FA00004423
-
Subject Headings
-
Biology -- Mathematical models, Biomathematics, Differentiable dynamical systems, Differential equations, Partial -- Numerical solutions, Global analysis (Mathematics), Lyapunov functions, Nonlinear theories
-
Format
-
Document (PDF)
