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 151 - 180 of 227
Full-Text Articles in Ordinary Differential Equations and Applied Dynamics
Stability Of Delayed Virus Infection Model With A General Incidence Rate And Adaptive Immune Response, Zhimin Chen, Xiuxiang Liu, Zhongzhong Xie
Stability Of Delayed Virus Infection Model With A General Incidence Rate And Adaptive Immune Response, Zhimin Chen, Xiuxiang Liu, Zhongzhong Xie
Applications and Applied Mathematics: An International Journal (AAM)
We present the dynamical behaviors of a virus infection model with general infection rate, immune responses and two intracellular delays which describe the interactions of the HIV virus, target cells, CTL cells and antibodies within host. Three factors are incorporated in this model: (1) the intrinsic growth rate of uninfected cells, (2) a nonlinear incidence rate function considering both virus-tocell infection and cell-to-cell transmission, and (3) a nonlinear productivity and removal function. By the method of Lyapunov functionals and LaSalle’s invariance principle, we show that the global dynamics of the model is determined by the reproductive numbers for viral infection …
Parameter Estimation And Optimal Control Of The Dynamics Of Transmission Of Tuberculosis With Application To Cameroon, A. Temgoua, Y. Malong, J. Mbang, S. Bowong
Parameter Estimation And Optimal Control Of The Dynamics Of Transmission Of Tuberculosis With Application To Cameroon, A. Temgoua, Y. Malong, J. Mbang, S. Bowong
Applications and Applied Mathematics: An International Journal (AAM)
This paper deals with the problem of parameter estimation and optimal control of a tuberculosis (TB) model with seasonal fluctuations. We first present a uncontrolled TB model with seasonal fluctuations. We present the theoretical analysis of the uncontrolled TB model without seasonal fluctuations. After, we propose a numerical study to estimate the unknown parameters of the TB model with seasonal fluctuations according to demographic and epidemiological data from Cameroon. Simulation results are in good accordance with the seasonal variation of the new active reported cases of TB in Cameroon. Using this TB model with seasonality, the tuberculosis control is formulated …
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.
Calcium Signaling In The Sperm Head, Julie Simons, Lisa Fauci
Calcium Signaling In The Sperm Head, Julie Simons, Lisa Fauci
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Combinatorial Geometry Of Threshold-Linear Networks, Christopher Langdon
Combinatorial Geometry Of Threshold-Linear Networks, Christopher Langdon
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Dynamics Of A Stoichiometric Producer-Grazer System With Seasonal Effects On Light Level, Lale Asik
Dynamics Of A Stoichiometric Producer-Grazer System With Seasonal Effects On Light Level, Lale Asik
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Implications From Two Prostate Cancer Models For Intermittent Therapy, Tin Phan
Implications From Two Prostate Cancer Models For Intermittent Therapy, Tin Phan
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Mathematical Modeling And Simulation With Deep Learning Methods Of Cancer Growth For Patient-Specific Therapy, Vishal Kobla, Joshua P. Smith, Pranav Unni, Padmanabhan Seshaiyer
Mathematical Modeling And Simulation With Deep Learning Methods Of Cancer Growth For Patient-Specific Therapy, Vishal Kobla, Joshua P. Smith, Pranav Unni, Padmanabhan Seshaiyer
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
A Household Model Of German Cockroach Infestations And Their Effect On Symptoms Of Atopic Asthma, Karen Funderburk
A Household Model Of German Cockroach Infestations And Their Effect On Symptoms Of Atopic Asthma, Karen Funderburk
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 …
Generation Of Nonlinear-Differential-Equations System From A Model Of Boolean Relationships In Arabidopsis Salt Stress Network, Renee Dale
Biology and Medicine Through Mathematics Conference
No abstract provided.
Modeling Hcv Interactions With P53: Implications For Carcinogenesis, Harsh Jain
Modeling Hcv Interactions With P53: Implications For Carcinogenesis, Harsh Jain
Biology and Medicine Through Mathematics Conference
No abstract provided.
Quantifying Effects Of Neutrophil Memory On Migration Patterns Using Microfluidic Platforms And Ode Modeling Of The Mechanistic Molecular Pathways, Brittany P. Boribong, Mark J. Lenzi, Mirjam Sarah Kadelka, Stanca Ciupe, Liwu Li, Caroline N. Jonea
Quantifying Effects Of Neutrophil Memory On Migration Patterns Using Microfluidic Platforms And Ode Modeling Of The Mechanistic Molecular Pathways, Brittany P. Boribong, Mark J. Lenzi, Mirjam Sarah Kadelka, Stanca Ciupe, Liwu Li, Caroline N. Jonea
Biology and Medicine Through Mathematics Conference
No abstract provided.
Disruption Of Synchronous Behavior In Pancreatic Islets Via Hub Cells, Janita Patwardhan
Disruption Of Synchronous Behavior In Pancreatic Islets Via Hub Cells, Janita Patwardhan
Biology and Medicine Through Mathematics Conference
No abstract provided.
Modeling Pharmaceutical Inhibition Of Glucose-Stimulated Renin-Angiotensin System In Kidneys, Ashlee N. Ford Versypt, Minu R. Pilvankar, Hui Ling Yong
Modeling Pharmaceutical Inhibition Of Glucose-Stimulated Renin-Angiotensin System In Kidneys, Ashlee N. Ford Versypt, Minu R. Pilvankar, Hui Ling Yong
Biology and Medicine Through Mathematics Conference
No abstract provided.
Staged Hiv Transmission And Treatment In A Dynamic Model With Concurrency, Katharine Gurski, Kathleen Hoffman
Staged Hiv Transmission And Treatment In A Dynamic Model With Concurrency, Katharine Gurski, Kathleen Hoffman
Biology and Medicine Through Mathematics Conference
No abstract provided.
Modeling The Disappearance Of The Neanderthals Using Concepts Of Population Dynamics And Ecology, Michael F. Roberts, Stephen E. Bricher
Modeling The Disappearance Of The Neanderthals Using Concepts Of Population Dynamics And Ecology, Michael F. Roberts, Stephen E. Bricher
Faculty Publications
Current hypotheses regarding the disappearance of Neanderthals (NEA) in Europe fall into two main categories: climate change, and competition. Here we review current research and existing mathematical models that deal with this question, and we propose an approach that incorporates and permits the investigation of the current hypotheses. We have developed a set of differential equations that model population dynamics of anatomically modern humans (AMH) and NEA, their ecological relations to prey species, and their mutual interactions. The model allows investigators to explore each of the two main categories or combinations of both, as well as various forms of competition …
Stochastic Analysis Of A Mammalian Circadian Clock Model: Small Protein Number Effects, David W. Morgens, Blerta Shtylla
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
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.
Modeling Cdc42 Oscillation In Fission Yeast, Bin Xu
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
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
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.
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
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
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.
Mathematical Medicine: Modeling Disease And Treatment, Lisette Depillis
Mathematical Medicine: Modeling Disease And Treatment, Lisette Depillis
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Parts Of The Whole: Why I Teach This Subject This Way, Dorothy Wallace
Parts Of The Whole: Why I Teach This Subject This Way, Dorothy Wallace
Numeracy
The importance of mathematics to biology is illustrated by search data from Google Scholar. I argue that a pedagogical approach based on student research projects is likely to improve retention and foster critical thinking about mathematical modeling, as well as reinforce quantitative reasoning and the appreciation of calculus as a tool. The usual features of a course (e.g., the instructor, assessment, text, etc.) are shown to have very different purposes in a research-based course.
Modeling Hiv Dynamics Following 3bnc117 Antibody Infusion, Samantha Erwin
Modeling Hiv Dynamics Following 3bnc117 Antibody Infusion, Samantha Erwin
Biology and Medicine Through Mathematics Conference
No abstract provided.
The Role Of E-Antigen In Hepatitiv B Virus Infection, Mirjam Sarah Kadelka
The Role Of E-Antigen In Hepatitiv B Virus Infection, Mirjam Sarah Kadelka
Biology and Medicine Through Mathematics Conference
No abstract provided.