Open Access. Powered by Scholars. Published by Universities.®
Ordinary Differential Equations and Applied Dynamics Commons™
Open Access. Powered by Scholars. Published by Universities.®
- Institution
-
- Illinois State University (83)
- Virginia Commonwealth University (64)
- Prairie View A&M University (38)
- University of Nebraska - Lincoln (6)
- Mathematical Modelling and Numerical Simulation with Applications (4)
-
- Claremont Colleges (2)
- George Fox University (2)
- Georgia Southern University (2)
- Louisiana State University (2)
- Loyola Marymount University and Loyola Law School (2)
- Rose-Hulman Institute of Technology (2)
- University of Louisville (2)
- Arcadia University (1)
- Binghamton University (1)
- Boise State University (1)
- Brigham Young University (1)
- California Polytechnic State University, San Luis Obispo (1)
- Dartmouth College (1)
- Embry-Riddle Aeronautical University (1)
- Kennesaw State University (1)
- Kutztown University (1)
- Linfield University (1)
- New Jersey Institute of Technology (1)
- Old Dominion University (1)
- Technological University Dublin (1)
- The College of Wooster (1)
- The Texas Medical Center Library (1)
- University of South Florida (1)
- West Virginia University (1)
- Western University (1)
- Keyword
-
- Medicine (17)
- Epidemiology (15)
- Other (15)
- Ecology (12)
- Stability (12)
-
- Global stability (9)
- COVID-19 (5)
- Hopf bifurcation (5)
- Bifurcation (4)
- Differential equations (4)
- Dynamical systems (4)
- Harvesting (3)
- Mathematical biology (3)
- Neuroscience (3)
- Ordinary differential equations (3)
- Population dynamics (3)
- Simulation (3)
- Action potential (2)
- Allee effect (2)
- Basic reproduction number (2)
- Biology (2)
- Chikungunya virus (2)
- Compartmental models (2)
- Computational biology (2)
- Epidemic model (2)
- Fixed point (2)
- Gene regulatory networks (2)
- Ion pump (2)
- Leslie-Gower predator-prey model (2)
- Lyapunov function (2)
- Publication Year
- Publication
-
- Annual Symposium on Biomathematics and Ecology Education and Research (70)
- Biology and Medicine Through Mathematics Conference (62)
- Applications and Applied Mathematics: An International Journal (AAM) (38)
- Spora: A Journal of Biomathematics (12)
- Department of Mathematics: Faculty Publications (4)
-
- Mathematical Modelling and Numerical Simulation with Applications (4)
- College of Graduate Studies: Theses & Dissertations (2)
- Department of Mathematics: Dissertations, Theses, and Student Research (2)
- Electronic Theses and Dissertations (2)
- Faculty Publications - Department of Mathematics (2)
- Honors Thesis (2)
- Theses and Dissertations (2)
- Biological Sciences Faculty Publications (1)
- Boise State University Theses and Dissertations (1)
- CODEE Journal (1)
- Capstone Showcase (1)
- Dartmouth College Ph.D Dissertations (1)
- Discovery Day - Daytona Beach (1)
- Dissertations (1)
- Dissertations and Theses (Open Access) (1)
- Faculty Articles (1)
- Faculty Publications (1)
- Graduate Theses, Dissertations, and Problem Reports (ETD) (1)
- HMC Senior Theses (1)
- Honors Student Research (1)
- Journal of Nonprofit Innovation (1)
- LSU Doctoral Dissertations (1)
- LSU Master's Theses (1)
- Master's Theses (1)
- Northeast Journal of Complex Systems (NEJCS) (1)
- Publication Type
Articles 181 - 210 of 227
Full-Text Articles in Ordinary Differential Equations and Applied Dynamics
A Model For A Parameter Related To Free Virus Production From Infected Target Cells, Evan C. Haskell
A Model For A Parameter Related To Free Virus Production From Infected Target Cells, Evan C. Haskell
Biology and Medicine Through Mathematics Conference
No abstract provided.
Mathematical Modeling Of Normal And Abnormal Responses To The Valsalva Maneuver, Eric Benjamin Randall
Mathematical Modeling Of Normal And Abnormal Responses To The Valsalva Maneuver, Eric Benjamin Randall
Biology and Medicine Through Mathematics Conference
No abstract provided.
Control Policies And Sensitivity Analysis In A Cutaneous Leishmaniasis Model: A Case Study In Cusco Region, Peru., Rocio M. Caja-Rivera, Ignacio Barradas
Control Policies And Sensitivity Analysis In A Cutaneous Leishmaniasis Model: A Case Study In Cusco Region, Peru., Rocio M. Caja-Rivera, Ignacio Barradas
Biology and Medicine Through Mathematics Conference
No abstract provided.
Comparison Of The Regulatory Dynamics Of Related Small Gene Regulatory Networks That Control The Response To Cold Shock In Saccharomyces Cerevisiae, Natalie Williams
Comparison Of The Regulatory Dynamics Of Related Small Gene Regulatory Networks That Control The Response To Cold Shock In Saccharomyces Cerevisiae, Natalie Williams
Honors Thesis
The Dahlquist Lab investigates the global, transcriptional response of Sacchromyces cerevisiae, baker’s yeast, to the environmental stress of cold shock, using DNA microarrays for the wild type strain and strains deleted for a particular regulatory transcription factor. Gene regulatory networks (GRNs) consist of transcription factors (TF), genes, and the regulatory connections between them that control the resulting mRNA and protein expression levels. We use mathematical modeling to determine the dynamics of the GRN controlling the cold shock response to determine the relative influence of each transcription factor in the network. A family of GRNs has been derived from the …
Code For "Noise-Enhanced Coding In Phasic Neuron Spike Trains", Cheng Ly, Brent D. Doiron
Code For "Noise-Enhanced Coding In Phasic Neuron Spike Trains", Cheng Ly, Brent D. Doiron
Statistical Sciences and Operations Research Data
This zip file contains Matlab scripts and ode (XPP) files to calculate the statistics of the models in "Noise-Enhanced Coding in Phasic Neuron Spike Trains". This article is published in PLoS ONE.
Dynamics Of Gene Networks In Cancer Research, Paul Scott
Dynamics Of Gene Networks In Cancer Research, Paul Scott
College of Graduate Studies: Theses & Dissertations
Cancer prevention treatments are being researched to see if an optimized treatment schedule would decrease the likelihood of a person being diagnosed with cancer. To do this we are looking at genes involved in the cell cycle and how they interact with one another. Through each gene expression during the life of a normal cell we get an understanding of the gene interactions and test these against those of a cancerous cell. First we construct a simplified network model of the normal gene network. Once we have this model we translate it into a transition matrix and force changes on …
Spreading Speeds Along Shifting Resource Gradients In Reaction-Diffusion Models And Lattice Differential Equations., Jin Shang
Electronic Theses and Dissertations
A reaction-diffusion model and a lattice differential equation are introduced to describe the persistence and spread of a species along a shifting habitat gradient. The species is assumed to grow everywhere in space and its growth rate is assumed to be monotone and positive along the habitat region. We show that the persistence and spreading dynamics of a species are dependent on the speed of the shifting edge of the favorable habitat, c, as well as c*(∞) and c*(−∞), which are formulated in terms of the dispersal kernel and species growth rates in both directions. When …
General Equations For Natural Selection Under Complete Dominance, Kasthuri Kannan, Adriana Heguy
General Equations For Natural Selection Under Complete Dominance, Kasthuri Kannan, Adriana Heguy
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Teaching Systems Biology Of The Circadian Clock With Journal Articles And Matlab, Stephanie R. Taylor
Teaching Systems Biology Of The Circadian Clock With Journal Articles And Matlab, Stephanie R. Taylor
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Predator-Prey Dynamics With Intraspecific Competition And An Allee Effect In The Predator Population, Anne E. Yust, Erin N. Bodine
Predator-Prey Dynamics With Intraspecific Competition And An Allee Effect In The Predator Population, Anne E. Yust, Erin N. Bodine
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Dynamics Of A Two Vector, Two Pathogen, Single Host Model, Caleb L. Adams
Dynamics Of A Two Vector, Two Pathogen, Single Host Model, Caleb L. Adams
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.
Can Culling Barred Owls Save A Declining Northern Spotted Owl Population?, Alex Capaldi
Can Culling Barred Owls Save A Declining Northern Spotted Owl Population?, Alex Capaldi
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Mathematical Modeling Of Vaccine Noncompliance, Jordan A. Bauer
Mathematical Modeling Of Vaccine Noncompliance, Jordan A. Bauer
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Anticipating Elimination Of Mosquito-Borne Diseases, Suzanne M. O'Regan, Jonathan Lillie, John M. Drake
Anticipating Elimination Of Mosquito-Borne Diseases, Suzanne M. O'Regan, Jonathan Lillie, John M. Drake
Biology and Medicine Through Mathematics Conference
No abstract provided.
Toward Adaptive Control Of Acute Inflammation, Judy D. Day, Seddik M. Djouadi, Ouassim Bara, Gregory L. Zitelli
Toward Adaptive Control Of Acute Inflammation, Judy D. Day, Seddik M. Djouadi, Ouassim Bara, Gregory L. Zitelli
Biology and Medicine Through Mathematics Conference
No abstract provided.
Mathematical Modeling Of Endotoxin-Induced Inflammation In Young Men, Renee Brady
Mathematical Modeling Of Endotoxin-Induced Inflammation In Young Men, Renee Brady
Biology and Medicine Through Mathematics Conference
No abstract provided.
Dynamics Of Two Pathogens In A Single Tick Population, Alexis White
Dynamics Of Two Pathogens In A Single Tick Population, Alexis White
Biology and Medicine Through Mathematics Conference
No abstract provided.
Modelling The Polarization, Migration And Neuromast Deposition In The Zebrafish Posterior Lateral Line System, Hildur Knutsdottir
Modelling The Polarization, Migration And Neuromast Deposition In The Zebrafish Posterior Lateral Line System, Hildur Knutsdottir
Biology and Medicine Through Mathematics Conference
No abstract provided.
Mathematical Models Of Hiv And Hpv Coinfection, Samantha Erwin, Meghna Verma, Vida Abedi, Raquel Hontecillas-Magarzo, Stefan Hoops, Josep Bassaganya-Riera, Stanca M. Ciupe
Mathematical Models Of Hiv And Hpv Coinfection, Samantha Erwin, Meghna Verma, Vida Abedi, Raquel Hontecillas-Magarzo, Stefan Hoops, Josep Bassaganya-Riera, Stanca M. Ciupe
Biology and Medicine Through Mathematics Conference
No abstract provided.
Spatial Patterning In The York River Tidal Marshes Through The Interaction Of Cordgrass, Mussels And Sediment, Sofya Zaytseva, Leah Shaw, Rom Lipcius, Junping Shi
Spatial Patterning In The York River Tidal Marshes Through The Interaction Of Cordgrass, Mussels And Sediment, Sofya Zaytseva, Leah Shaw, Rom Lipcius, Junping Shi
Biology and Medicine Through Mathematics Conference
No abstract provided.
Investigations Of The Effects Of Different Ventilation Structures On Physiologically Based Pharmacokinetic Modeling (Pbpk) Simulations, Karen A. Yokley
Investigations Of The Effects Of Different Ventilation Structures On Physiologically Based Pharmacokinetic Modeling (Pbpk) Simulations, Karen A. Yokley
Biology and Medicine Through Mathematics Conference
No abstract provided.
Explicitly Separating Growth And Motility In A Glioblastoma Tumor Model, Tracy Stepien, Erica Rutter, Meng Fan, Yang Kuang
Explicitly Separating Growth And Motility In A Glioblastoma Tumor Model, Tracy Stepien, Erica Rutter, Meng Fan, Yang Kuang
Biology and Medicine Through Mathematics Conference
No abstract provided.
Movement And Dynamics Of Norway Rats In An Urban Landscape, Rosalyn Rael, Caz Taylor
Movement And Dynamics Of Norway Rats In An Urban Landscape, Rosalyn Rael, Caz Taylor
Biology and Medicine Through Mathematics Conference
No abstract provided.
Wilson-Cowan Coupled Dynamics In A Model Of The Cortico-Striato-Thalamo-Cortical Circuit, Anca R. Radulescu
Wilson-Cowan Coupled Dynamics In A Model Of The Cortico-Striato-Thalamo-Cortical Circuit, Anca R. Radulescu
Biology and Medicine Through Mathematics Conference
No abstract provided.
1-65-S-Algal Blooms: Algal Blooms Threatening Lake Chapala, R. Corban Harwood
1-65-S-Algal Blooms: Algal Blooms Threatening Lake Chapala, R. Corban Harwood
Faculty Publications - Department of Mathematics
This modeling scenario investigates the massive algal blooms that struck Lake Chapala, Mexico, starting in 1994. After reading a summary of articles written on the incidents, students are guided through the process of creating a first order differential equation from a verbal model of the factors and analyze the nonautonomous ODE using direction field, parameter evaluation, and exact solution computation to fully describe the population behavior. Students are expected to be familiar with the separable method and direction fields. Students will learn building and improving a model from qualitative descriptions, nondimensionalization, evaluating parameters, and how to use DFIELD software to …
Dynamics Of An Sir Model With Nonlinear Incidence And Treatment Rate, Balram Dubey, Preeti Dubey, Uma S. Dubey
Dynamics Of An Sir Model With Nonlinear Incidence And Treatment Rate, Balram Dubey, Preeti Dubey, Uma S. Dubey
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, global dynamics of an SIR model are investigated in which the incidence rate is being considered as Beddington-DeAngelis type and the treatment rate as Holling type II (saturated). Analytical study of the model shows that the model has two equilibrium points (diseasefree equilibrium (DFE) and endemic equilibrium (EE)). The disease-free equilibrium (DFE) is locally asymptotically stable when reproduction number is less than one. Some conditions on the model parameters are obtained to show the existence as well as nonexistence of limit cycle. Some sufficient conditions for global stability of the endemic equilibrium using Lyapunov function are obtained. …
Spontaneous Synchrony On Graphs And The Emergence Of Order From Disorder, Dylan Linville, Daniel Trugillo Martins Fontes
Spontaneous Synchrony On Graphs And The Emergence Of Order From Disorder, Dylan Linville, Daniel Trugillo Martins Fontes
Rose-Hulman Undergraduate Research Publications
From pulsars to pedestrians and bacteria to brain cells, objects that exhibit cyclical behavior, called oscillators, are found in a variety of different settings. When oscillators adjust their behavior in response to nearby oscillators, they often achieve a state of synchrony, in which they all have the same phase and frequency. Here, we explore the Kuramoto model, a simple and general model which describes oscillators as dynamical systems on a graph and has been used to study synchronization in systems ranging from firefly swarms to the power grid. We discuss analytical and numerical methods used to investigate the governing system …
Controllability Of An Eco-Epidemiological System With Disease Transmission Delay: A Theoretical Study, Samadyuti Haldar, Kunal Chakraborty, T. K. Kar
Controllability Of An Eco-Epidemiological System With Disease Transmission Delay: A Theoretical Study, Samadyuti Haldar, Kunal Chakraborty, T. K. Kar
Applications and Applied Mathematics: An International Journal (AAM)
This paper deals with the qualitative analysis of a disease transmission delay induced prey preda-tor system in which disease spreads among the predator species only. The growth of the preda-tors’ susceptible and infected subpopulations is assumed as modified Leslie–Gower type. Suffi-cient conditions for the persistence, permanence, existence and stability of equilibrium points are obtained. Global asymptotic stability of the system is investigated around the coexisting equilib-rium using a geometric approach. The existence of Hopf bifurcation phenomenon is also exam-ined with respect to some important parameters of the system. The criterion for disease a trans-mission delay the induced Hopf bifurcation phenomenon …
Algae Population Self-Replenishment, R. Corban Harwood
Algae Population Self-Replenishment, R. Corban Harwood
Faculty Publications - Department of Mathematics
This modeling scenario investigates the massive algal blooms that struck Lake Chapala, Mexico, in 1994. After reading a summary of news articles on the incident, students create an ODE system model from a verbal description of the factors, visualize this system using an executable Java applet (PPLANE) to predict overall behavior, and then analyze the nonlinear system using the Jacobian matrix, eigenvalues, phase plane, and feasibility conditions on parameters to fully describe the system behavior. Students are expected to be familiar with systems of differential equations, equilibria, jacobian matrices, and eigenvalues. Students will learn modeling from qualitative descriptions, nondimensionalization, applying …