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Ordinary Differential Equations and Applied Dynamics Commons™
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- Active subspaces (1)
- Aedes aegypti (1)
- Anthrax (1)
- Antiretroviral therapy (1)
- B. anthracis (1)
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- Bacterial killing (1)
- Bacterial replication (1)
- COVID-19 (1)
- Compartmental models (1)
- Continuous ODE model (1)
- DFTD (1)
- Dengue Transmission (1)
- Devil facial tumor disease (1)
- Epidemic modeling (1)
- Epidemiology (1)
- Germination (1)
- HIV infection (1)
- In vitro (1)
- Kidney disease (1)
- PPE (1)
- Rio de Janeiro (1)
- SEIR (1)
- SIR model (1)
- Sensitivity Analysis (1)
- Social distancing (1)
- Tasmanian devil (1)
- Time-dependent sensitivity analysis (1)
- Tuberculosis (1)
- Vaccination (1)
- Vertical Transmission (1)
- Publication
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Articles 1 - 18 of 18
Full-Text Articles in Ordinary Differential Equations and Applied Dynamics
Incorporating Adaptive Human Behavior Into Epidemiological Models Using Equation Learning, Austin Barton, Jordan Klein, Jonathan Greer, Kevin Flores, Patrick Haughey
Incorporating Adaptive Human Behavior Into Epidemiological Models Using Equation Learning, Austin Barton, Jordan Klein, Jonathan Greer, Kevin Flores, Patrick Haughey
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
A Mathematical Model Of Acanthocephalan Parasite Infection In Gull-Billed Terns, Charlotte Moser
A Mathematical Model Of Acanthocephalan Parasite Infection In Gull-Billed Terns, Charlotte Moser
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
A Dynamical System Model Of Dengue Transmission For Rio De Janeiro, Brazil, Gregory Schmidt, Benjamin Whipple, Vinodh Chellamuthu, Xiaoxia Xie
A Dynamical System Model Of Dengue Transmission For Rio De Janeiro, Brazil, Gregory Schmidt, Benjamin Whipple, Vinodh Chellamuthu, Xiaoxia Xie
Spora: A Journal of Biomathematics
The dengue virus is a serious concern in many parts of the world, including Brazil. As data indicates, a prominent vector for dengue is the mosquito Aedes aegypti. By using the dengue incidence records from the Brazilian SINAN database, we estimate the population of A. aegypti within the city of Rio de Janeiro. Using historical climate data for Rio de Janeiro and the computed population estimates, we extend an existing model for the population dynamics of mosquitoes to incorporate precipitation in aquatic stages of development for A. aegypti.
Flattening The Curve: The Effects Of Intervention Strategies During Covid-19, Kelly A. Reagan, Rachel J. Pryor, Gonzalo M. Bearman, David M. Chan
Flattening The Curve: The Effects Of Intervention Strategies During Covid-19, Kelly A. Reagan, Rachel J. Pryor, Gonzalo M. Bearman, David M. Chan
Spora: A Journal of Biomathematics
COVID-19 has plagued countries worldwide due to its infectious nature. Social distancing and the use of personal protective equipment (PPE) are two main strategies employed to prevent its spread. A SIR model with a time-dependent transmission rate is implemented to examine the effect of social distancing and PPE use in hospitals. These strategies’ effect on the size and timing of the peak number of infectious individuals are examined as well as the total number of individuals infected by the epidemic. The effect on the epidemic of when social distancing is relaxed is also examined. Overall, social distancing was shown to …
Long-Term Dynamics Of The Kidney Disease Epidemic Among Hiv-Infected Individuals, Heather Gudaz, Henry A. Ogu, Elissa J. Schwartz
Long-Term Dynamics Of The Kidney Disease Epidemic Among Hiv-Infected Individuals, Heather Gudaz, Henry A. Ogu, Elissa J. Schwartz
Spora: A Journal of Biomathematics
One of many risks facing HIV+ individuals is the development of kidney dysfunction and end stage kidney disease (ESKD). A differential equation-based mathematical model was developed to assess the impact of antiretroviral therapy on the progression to kidney disease and on reducing mortality due to kidney failure. Analytical and numerical predictions of long-term HIV+ ESKD prevalence show that therapy can lead to either extremely low levels of disease prevalence or increased prevalence, depending on drug efficacy levels and mechanisms of action. Maintenance of HIV+ ESKD prevalence below one individual is possible with sufficient efficacy (e.g., 99%) against the progression from …
Applying Immuno-Epidemiology Principles To Violence, Anna H. Sisk, Nina H. Fefferman, Judy Day, Patricia Bamwine
Applying Immuno-Epidemiology Principles To Violence, Anna H. Sisk, Nina H. Fefferman, Judy Day, Patricia Bamwine
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
The Effect Of Fcgammariia Polymorphisms On Dengue Outbreak Severity, Leah Darwin, Richard V. Clarke
The Effect Of Fcgammariia Polymorphisms On Dengue Outbreak Severity, Leah Darwin, Richard V. Clarke
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Modeling And Preparedness: The Transmission Dynamics Of Covid-19 Outbreak In Provinces Of Ecuador, Carlos E. Bustamante Orellana, Jordy Cevallos-Chavez, Cesar Montalvo, Jeff Sulliavan, Edwin Michael, Anuj Mubayi
Modeling And Preparedness: The Transmission Dynamics Of Covid-19 Outbreak In Provinces Of Ecuador, Carlos E. Bustamante Orellana, Jordy Cevallos-Chavez, Cesar Montalvo, Jeff Sulliavan, Edwin Michael, Anuj Mubayi
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
In Silico Modelling For The Treatment Of Gastric Cancer, Leonardo F. Martinez, Diana Gamboa, Paul A. Valle
In Silico Modelling For The Treatment Of Gastric Cancer, Leonardo F. Martinez, Diana Gamboa, Paul A. Valle
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Combating Tuberculosis: Using Time-Dependent Sensitivity Analysis To Develop Strategies For Treatment And Prevention, Kendall B. Clark, Mayleen Cortez, Cristian Hernandez, Beth E. Thomas, Allison L. Lewis
Combating Tuberculosis: Using Time-Dependent Sensitivity Analysis To Develop Strategies For Treatment And Prevention, Kendall B. Clark, Mayleen Cortez, Cristian Hernandez, Beth E. Thomas, Allison L. Lewis
Spora: A Journal of Biomathematics
Although many organizations throughout the world have worked tirelessly to control tuberculosis (TB) epidemics, no country has yet been able to eradicate the disease completely. We present two compartmental models representing the spread of a TB epidemic through a population. The first is a general TB model; the second is an adaptation for regions in which HIV is prevalent, accounting for the effects of TB/HIV co-infection. Using active subspaces, we conduct time-dependent sensitivity analysis on both models to explore the significance of certain parameters with respect to the spread of TB. We use the results of this sensitivity analysis to …
A Mathematical Model Of The Inflammatory Response To Pathogen Challenge, Lester Caudill, Fiona Lynch
A Mathematical Model Of The Inflammatory Response To Pathogen Challenge, Lester Caudill, Fiona Lynch
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Modeling The Transmission Of Wolbachia In Mosquitoes For Controlling Mosquito-Borne Diseases, Zhuolin Qu
Modeling The Transmission Of Wolbachia In Mosquitoes For Controlling Mosquito-Borne Diseases, Zhuolin Qu
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Parameter Sensitivity For In Vitro Anthrax Studies, Yareley Gonzalez, Maria Macias-Bedolla, Megan O. Powell
Parameter Sensitivity For In Vitro Anthrax Studies, Yareley Gonzalez, Maria Macias-Bedolla, Megan O. Powell
Spora: A Journal of Biomathematics
Studies done on interactions between spores and macrophages done in vitro show inconsistent results based on experimental protocol and inhibit meaningful extrapolation to in vivo. In this study, we perform a sensitivity analysis of a model representing in vitro studies of interactions between anthrax spores and macrophages to help address the effects of these inconsistencies. We perform both local and global analyses using Latin hypercube sampling and partial rank correlation coefficients. Our analysis indicates the amount of intracellular bacteria over time is most sensitive to the killing of intracellular bacteria by the macrophages and replication of the bacteria inside …
Age-Structured And Vaccination Models Of Devil Facial Tumor Disease, Christopher D. Bruno, Timothy Comar, Megan O. Powell, Adjo Tameklo
Age-Structured And Vaccination Models Of Devil Facial Tumor Disease, Christopher D. Bruno, Timothy Comar, Megan O. Powell, Adjo Tameklo
Spora: A Journal of Biomathematics
Tasmanian devil populations have been devastated by devil facial tumor disease (DFTD) since its first appearance in 1996. The average lifespan of a devil has decreased from six years to three years. We present an age-structured model to represent how the disease has affected the age and breeding structures of the population. We show that with the recent increase in the breeding of juvenile devils, the overall devil population will increase but not nearly to pre-DFTD levels. The basic reproductive number may be increased with the influx of young breeding devils. In addition, our model shows that the release of …
The Kinetics Of Type I Interferons During Influenza A Virus Infection, Margaret A. Myers
The Kinetics Of Type I Interferons During Influenza A Virus Infection, Margaret A. Myers
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
A Model Of Dengue Transmission With Wolbachia-Free And Wolbachia-Infected Mosquitoes, Iftikhar Ahmed
A Model Of Dengue Transmission With Wolbachia-Free And Wolbachia-Infected Mosquitoes, Iftikhar Ahmed
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
The Role Of Intermittent Preventive Treatment For Malaria In Saving Lives And Promoting Drug Resistance, Carrie Manore
The Role Of Intermittent Preventive Treatment For Malaria In Saving Lives And Promoting Drug Resistance, Carrie Manore
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Modeling Cross-Species Extrapolation Of Inhalation Anthrax For Risk Assessment Purposes, Megan O. Powell
Modeling Cross-Species Extrapolation Of Inhalation Anthrax For Risk Assessment Purposes, Megan O. Powell
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.