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All Articles in Ordinary Differential Equations and Applied Dynamics

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Stochastic Analysis Of A Mammalian Circadian Clock Model: Small Protein Number Effects, David W. Morgens, Blerta Shtylla 2017 Stanford University

Stochastic Analysis Of A Mammalian Circadian Clock Model: Small Protein Number Effects, David W. Morgens, Blerta Shtylla

Spora: A Journal of Biomathematics

The circadian clock, responsible for coordinating organism function with daily and seasonal changes in the day-night cycle, is controlled by a complex protein network that constitutes a robust biochemical oscillator. Deterministic ordinary differential equation models have been used extensively to model the behavior of these central clocks. However, due to the small number of proteins involved in the circadian oscillations, mathematical models that track stochastic variations in the numbers of clock proteins may reveal more complex and biologically relevant behaviors. In this paper, we compare the response of a robust yet detailed deterministic model for the mammalian circadian clock with …


Age-Structured And Vaccination Models Of Devil Facial Tumor Disease, Christopher D. Bruno, Timothy Comar, Megan O. Powell, Adjo Tameklo 2017 University of St. Francis

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 …


Differential Equations Of Dynamical Order, Andrei Ludu, Harihar Khanal 2017 Embry Riddle Aeronautical University - Daytona Beach

Differential Equations Of Dynamical Order, Andrei Ludu, Harihar Khanal

Publications

No abstract provided.


Electromagnetic Resonant Scattering In Layered Media With Fabrication Errors, Emily Anne McHenry 2017 Louisiana State University and Agricultural and Mechanical College

Electromagnetic Resonant Scattering In Layered Media With Fabrication Errors, Emily Anne Mchenry

LSU Doctoral Dissertations

In certain layered electromagnetic media, one can construct a waveguide that supports a harmonic electromagnetic field at a frequency that is embedded in the continuous spectrum. When the structure is perturbed, this embedded eigenvalue moves into the complex plane and becomes a “complex resonance” frequency. The real and imaginary parts of this complex frequency have physical meaning. They lie behind anomalous scattering behaviors known collectively as “Fano resonance”, and people are interested in tuning them to specific values in optical devices. The mathematics involves spectral theory and analytic perturbation theory and is well understood [16], at least on a theoretical …


Mathematical Modeling Of Tumor Immune Interactions: A Closer Look At The Role Of A Pd-L1 Inhibitor In Cancer Immunotherapy, Timothy Woods II 2017 Pomona College

Mathematical Modeling Of Tumor Immune Interactions: A Closer Look At The Role Of A Pd-L1 Inhibitor In Cancer Immunotherapy, Timothy Woods Ii

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


The Dynamics Of An Epidemiological Model For Human Papillomavirus With Partial Vaccination In A Heterogeneous Population, Stefano Chiaradonna 2017 Illinois State University

The Dynamics Of An Epidemiological Model For Human Papillomavirus With Partial Vaccination In A Heterogeneous Population, Stefano Chiaradonna

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Dftd Age Structure And Vaccination Modeling, Christopher D. Bruno 2017 University of St. Francis

Dftd Age Structure And Vaccination Modeling, Christopher D. Bruno

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Modeling The Growth Of Psedomonas Putida By Gompertz Dynamic Equations, Elvan Akin 2017 Missouri University of Science and Technology

Modeling The Growth Of Psedomonas Putida By Gompertz Dynamic Equations, Elvan Akin

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Optimal Control And Models For Alternative Pest Management To Alfalfa Agroecosystems, Mohammed Yahdi 2017 Hartnell College

Optimal Control And Models For Alternative Pest Management To Alfalfa Agroecosystems, Mohammed Yahdi

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


When Is Closing A School Effective For Stopping Disease Spread?, Anthony DeLegge 2017 Benedictine University

When Is Closing A School Effective For Stopping Disease Spread?, Anthony Delegge

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


The Kinetics Of Type I Interferons During Influenza A Virus Infection, Margaret A. Myers 2017 St. Jude Children's Research Hospital

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.


Modeling Cdc42 Oscillation In Fission Yeast, Bin Xu 2017 Illinois State University

Modeling Cdc42 Oscillation In Fission Yeast, Bin Xu

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


One Tick, Two Tick, Two Pathogens, Oh No! Am I Sick?, Caleb L. Adams 2017 Radford University

One Tick, Two Tick, Two Pathogens, Oh No! Am I Sick?, Caleb L. Adams

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 2017 Illinois State University

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 The Avian Nesting Curve In Enzootic West Nile Virus Transmission, Suzanne Robertson 2017 Virginia Commonwealth University

The Role Of The Avian Nesting Curve In Enzootic West Nile Virus Transmission, Suzanne Robertson

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


A Simulation Of Anthropogenic Columbian Mammoth Extinction, Alex Capaldi 2017 Valparaiso University

A Simulation Of Anthropogenic Columbian Mammoth Extinction, Alex Capaldi

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Modeling The Influence Of El Niño On Parasite Transmission In Sand Crab Populations And Seabird Abundance Along The California Coast, James Peirce, Olcay Akman, Abou Seck 2017 University of Wisconsin-La Crosse

Modeling The Influence Of El Niño On Parasite Transmission In Sand Crab Populations And Seabird Abundance Along The California Coast, James Peirce, Olcay Akman, Abou Seck

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 2017 Illinois State University

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.


Control Of Swimmer's Itch, Daniel Bonneville 2017 Illinois State University

Control Of Swimmer's Itch, Daniel Bonneville

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Connecting Parasite-Infected Crab Data To Shorebird Mortality During El Niño Seasons, Emily McClung 2017 Illinois State University

Connecting Parasite-Infected Crab Data To Shorebird Mortality During El Niño Seasons, Emily Mcclung

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


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