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Ordinary Differential Equations and Applied Dynamics Commons

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All Articles in Ordinary Differential Equations and Applied Dynamics

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412 full-text articles. Page 1 of 16.

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


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 ...


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.


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.


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.


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 Illinois State 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.


Mathematical Medicine: Modeling Disease And Treatment, Lisette dePillis 2017 Illinois State University

Mathematical Medicine: Modeling Disease And Treatment, Lisette Depillis

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


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