Modeling Mayfly Nymph Length Distribution And Population Dynamics Across A Gradient Of Stream Temperatures And Stream Types, 2018 Augsburg College

#### Modeling Mayfly Nymph Length Distribution And Population Dynamics Across A Gradient Of Stream Temperatures And Stream Types, Jeremy Anthony, Jennifer Baccam, Imanuel Bier, Emily Gregg, Leif Halverson, Ryan Mulcahy, Emmanuel Okanla, Samira A. Osman, Adam R. Pancoast, Kevin C. Schultz, Alex Sushko, Jennifer Vorarath, Yia Vue, Austin Wagner, Emily Gaenzle Schilling, John M. Zobitz

*Spora: A Journal of Biomathematics*

We analyze a process-based temperature model for the length distribution and population over time of mayfly nymphs. Model parameters are estimated using a Markov Chain Monte Carlo parameter estimation method utilizing length distribution data at five different stream sites. Two different models (a standard exponential model and a modified Weibull model) of mayfly mortality are evaluated, where in both cases mayfly length growth is a function of stream temperature. Based on model-data comparisons to the modeled length distribution and the Bayesian Information Criterion, we found that approaches that length distribution data can reliably estimate 2–3 model parameters. Future model ...

Strong Stability Of A Class Of Difference Equations Of Continuous Time And Structured Singular Value Problem, 2018 Nanjing University of Science and Technology

#### Strong Stability Of A Class Of Difference Equations Of Continuous Time And Structured Singular Value Problem, Qian Ma, Keqin Gu, Narges Choubedar

*SIUE Faculty Research, Scholarship, and Creative Activity*

This article studies the strong stability of scalar difference equations of continuous time in which the delays are sums of a number of independent parameters tau_i, i = 1, 2, . . . ,K. The characteristic quasipolynomial of such an equation is a multilinear function of exp(-tau_i s). It is known that the characteristic quasipolynomial of any difference equation set in the form of one-delayper- scalar-channel (ODPSC) model is also in such a multilinear form. However, it is shown in this article that some multilinear forms of quasipolynomials are not characteristic quasipolynomials of any ODPSC difference equation set. The equivalence between local strong ...

Modeling Mayfly Nymph Length Distribution And Population Dynamics Across A Gradient Of Stream Temperatures And Stream Types, 2018 Augsburg University

#### Modeling Mayfly Nymph Length Distribution And Population Dynamics Across A Gradient Of Stream Temperatures And Stream Types, Jeremy Anthony, Jennifer Baccam, Imanuel Bier, Emily Gregg, Leif Halverson, Ryan Mulcahy, Emmanuel Okanla, Samira A. Osman, Adam R. Pancoast, Kevin C. Schultz, Alex Sushko, Jennifer Vorarath, Yia Vue, Austin Wagner, Emily Gaenzle Schilling, John Zobitz

*Faculty Authored Articles*

We analyze a process-based temperature model for the length distribution and population over time of mayfly nymphs. Model parameters are estimated using a Markov Chain Monte Carlo parameter estimation method utilizing length distribution data at five different stream sites. Two different models (a standard exponential model and a modified Weibull model) of mayfly mortality are evaluated, where in both cases mayfly length growth is a function of stream temperature. Based on model-data comparisons to the modeled length distribution and the Bayesian Information Criterion, we found that approaches that length distribution data can reliably estimate 2–3 model parameters. Future model ...

Call For Abstracts - Resrb 2018, June 18-20, Brussels, Belgium, 2017 Wojciech Budzianowski Consulting Services

#### Call For Abstracts - Resrb 2018, June 18-20, Brussels, Belgium, Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.

Registration Form Resrb 2018, 2017 Wojciech Budzianowski Consulting Services

#### Registration Form Resrb 2018, Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.

Abstract Template Resrb 2018, 2017 Wojciech Budzianowski Consulting Services

#### Abstract Template Resrb 2018, Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.

On The Existence Of Bogdanov-Takens Bifurcations, 2017 Missouri State University

#### On The Existence Of Bogdanov-Takens Bifurcations, Zachary Deskin

*MSU Graduate Theses*

In bifurcation theory, there is a theorem (called Sotomayor's Theorem) which proves the existence of one of three possible bifurcations of a given system, provided that certain conditions of the system are satisfied. It turns out that there is a "similar" theorem for proving the existence of what is referred to as a Bogdanov-Takens bifurcation. The author is only aware of one reference that has the proof of this theorem. However, most of the details were left out of the proof. The contribution of this thesis is to provide the details of the proof on the existence of Bogdanov-Takens ...

Stochastic Analysis Of A Mammalian Circadian Clock Model: Small Protein Number Effects, 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, 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 ...

Electromagnetic Resonant Scattering In Layered Media With Fabrication Errors, 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, 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, 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, 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, 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.

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

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

The Kinetics Of Type I Interferons During Influenza A Virus Infection, 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, 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?, 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, 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.