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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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750 full-text articles. Page 1 of 33.

Epidemiological Assessment Of Wolbachia-Based Biocontrol For Reduction Of Dengue Morbidity, Olga Vasilieva, Oscar E. Escobar, Hector J. Martinez, Pierre-Alexandre Bliman, Yves Dumont 2022 Universidad Del Valle

Epidemiological Assessment Of Wolbachia-Based Biocontrol For Reduction Of Dengue Morbidity, Olga Vasilieva, Oscar E. Escobar, Hector J. Martinez, Pierre-Alexandre Bliman, Yves Dumont

Biology and Medicine Through Mathematics Conference

No abstract provided.


2d Spatio-Temporal Patterns In Coupled Phase Oscillators: Spiral Waves And Chimeras, Yujie Ding, Bard Ermentrout 2022 University of Pittsburgh

2d Spatio-Temporal Patterns In Coupled Phase Oscillators: Spiral Waves And Chimeras, Yujie Ding, Bard Ermentrout

Biology and Medicine Through Mathematics Conference

No abstract provided.


Understanding Biofilm-Phage Interactions In Mathematical Framework, Blessing Emerenini 2022 Rochester Institute of Technology

Understanding Biofilm-Phage Interactions In Mathematical Framework, Blessing Emerenini

Biology and Medicine Through Mathematics Conference

No abstract provided.


Optimal Intervention Strategies To Minimize Spread Of Infectious Diseases And Economic Impact On A Dynamic Small-World Network, Malindi Whyte, Danielle DaSilva 2022 Wake Forest University

Optimal Intervention Strategies To Minimize Spread Of Infectious Diseases And Economic Impact On A Dynamic Small-World Network, Malindi Whyte, Danielle Dasilva

Biology and Medicine Through Mathematics Conference

No abstract provided.


A Triphasic Physiologically Based Pharmacokinetic Model Of Vitamin D3 And Metabolites In Vitamin D Insufficient Patients, Colton W. Sawyer, Stacey M. Tuey, Raymond E. West III, Thomas D. Nolin, Melanie S. Joy 2022 Southern New Hampshire University

A Triphasic Physiologically Based Pharmacokinetic Model Of Vitamin D3 And Metabolites In Vitamin D Insufficient Patients, Colton W. Sawyer, Stacey M. Tuey, Raymond E. West Iii, Thomas D. Nolin, Melanie S. Joy

Biology and Medicine Through Mathematics Conference

No abstract provided.


Modeling And Analysis Of Social Contagion In Overweight And Obesity Epidemic, Chathuri Edirisinghe Arachchige 2022 Texas Tech University

Modeling And Analysis Of Social Contagion In Overweight And Obesity Epidemic, Chathuri Edirisinghe Arachchige

Biology and Medicine Through Mathematics Conference

No abstract provided.


Mathematical Model Of Zika Epidemic In Colombia, Sethupathy Ganesan 2022 Virginia Commonwealth University

Mathematical Model Of Zika Epidemic In Colombia, Sethupathy Ganesan

Biology and Medicine Through Mathematics Conference

No abstract provided.


Mathematical Modelling Of Oncolytic Virotherapy As A Cancer Treatment, Maila Hallare, Iordanka Panayotova 2022 Norfolk State University

Mathematical Modelling Of Oncolytic Virotherapy As A Cancer Treatment, Maila Hallare, Iordanka Panayotova

Biology and Medicine Through Mathematics Conference

No abstract provided.


Mathematical Model Of Immune-Inflammatory Response In Covid-19 Patients, Quiyana M. Murphy 2022 Virginia Polytechnic Institute and State University

Mathematical Model Of Immune-Inflammatory Response In Covid-19 Patients, Quiyana M. Murphy

Biology and Medicine Through Mathematics Conference

No abstract provided.


Thoracoabdominal Asynchrony In A Virtual Preterm Infant: Computational Modeling And Analysis, Richard R. Foster, Laura Ellwein Fix 2022 Virginia Commonwealth University

Thoracoabdominal Asynchrony In A Virtual Preterm Infant: Computational Modeling And Analysis, Richard R. Foster, Laura Ellwein Fix

Biology and Medicine Through Mathematics Conference

No abstract provided.


Olfactory Bulb Processing Of Ortho Versus Retronasal Odors, Michelle F. Craft, Andrea Barreiro, Shree Gautam, Woodrow Shew, Cheng Ly 2022 Virginia Commonwealth University

Olfactory Bulb Processing Of Ortho Versus Retronasal Odors, Michelle F. Craft, Andrea Barreiro, Shree Gautam, Woodrow Shew, Cheng Ly

Biology and Medicine Through Mathematics Conference

No abstract provided.


Inferring Dynamics Of Biological Systems, Tracey G. Oellerich 2022 George Mason University

Inferring Dynamics Of Biological Systems, Tracey G. Oellerich

Biology and Medicine Through Mathematics Conference

No abstract provided.


The Effect Of Prep Uptake And Adherence On The Spread Of Hiv In The Presence Of Casual And Long-Term Partnerships, Sylvia J. Gutowska, Katharine Gurski, Kathleen Hoffman 2022 University of Maryland - Baltimore County

The Effect Of Prep Uptake And Adherence On The Spread Of Hiv In The Presence Of Casual And Long-Term Partnerships, Sylvia J. Gutowska, Katharine Gurski, Kathleen Hoffman

Biology and Medicine Through Mathematics Conference

No abstract provided.


The Interplay Between Costly Reproduction And Unpredictable Environments Shapes The Stability Of Cooperative Breeding, Glenn Steven Young 2022 Kennesaw State University

The Interplay Between Costly Reproduction And Unpredictable Environments Shapes The Stability Of Cooperative Breeding, Glenn Steven Young

Biology and Medicine Through Mathematics Conference

No abstract provided.


Hepatitis B And D: A Forecast On Actions Needed To Reduce Incidence And Achieve Elimination, Scott Greenhalgh, Andrew Klug 2022 Siena College

Hepatitis B And D: A Forecast On Actions Needed To Reduce Incidence And Achieve Elimination, Scott Greenhalgh, Andrew Klug

Spora: A Journal of Biomathematics

Viral hepatitis negatively affects the health of millions, with the worst health outcomes associated with the hepatitis D virus (HDV). Fortunately, HDV is rare and requires prior infection with the hepatitis B virus (HBV) before it can establish infection and transmit. Here, we develop a mathematical model of HBV and HDV transmission in Sub-Saharan Africa to investigate the effects of hepatitis B vaccination on both HBV and HDV. Our findings illustrate a hepatitis B vaccination rate above 0.006 year-1 reduces hepatitis D by over 90%, and a vaccination rate above 0.0221 year-1 reduces hepatitis B by ...


Mathematical Modeling Suggests Cooperation Of Plant-Infecting Viruses, Joshua Miller, Vitaly V. Ganusov, Tessa Burch-Smith 2022 University of Tennessee, Knoxville

Mathematical Modeling Suggests Cooperation Of Plant-Infecting Viruses, Joshua Miller, Vitaly V. Ganusov, Tessa Burch-Smith

Chancellor’s Honors Program Projects

No abstract provided.


Analysis Of Sir Epidemic Models With Sociological Phenomenon, Robert F. Allen, Katherine C. Heller, Matthew A. Pons 2022 University of Wisconsin-La Crosse

Analysis Of Sir Epidemic Models With Sociological Phenomenon, Robert F. Allen, Katherine C. Heller, Matthew A. Pons

Spora: A Journal of Biomathematics

We propose two SIR models which incorporate sociological behavior of groups of individuals. It is these differences in behaviors which impose different infection rates on the individual susceptible populations, rather than biological differences. We compute the basic reproduction number for each model, as well as analyze the sensitivity of R0 to changes in sociological parameter values.


Human Impact On Planetary Temperature And Glacial Volume: Extending A Toy Climate Model To A New Millennium, Samantha Secor, Jennifer Switkes 2022 California State Polytechnic University, Pomona

Human Impact On Planetary Temperature And Glacial Volume: Extending A Toy Climate Model To A New Millennium, Samantha Secor, Jennifer Switkes

CODEE Journal

Starting with a toy climate model from the literature, we employ a system of two nonlinear differential equations to model the reciprocal effects of the average temperature and the percentage of glacial volume on Earth. In the literature, this model is used to demonstrate the potential for a stable periodic orbit over a long time span in the form of an attracting limit cycle. In the roughly twenty five years since this model appeared in the literature, the effects of global warming and human-impacted climate change have become much more well known and apparent. We demonstrate modification of initial conditions ...


Effective Dose Fractionation Schemes Of Radiotherapy For Prostate Cancer, Jose Alvarez, Kathleen M. Storey, Pavitra Kannan, Heyrim Cho 2022 University of California, Riverside

Effective Dose Fractionation Schemes Of Radiotherapy For Prostate Cancer, Jose Alvarez, Kathleen M. Storey, Pavitra Kannan, Heyrim Cho

Spora: A Journal of Biomathematics

Radiation therapy remains as one of the main cancer treatment modalities. Typical regimens for radiotherapy comprise a constant dose administered on weekdays, and no radiation on weekends. In this paper, we examine adaptive dosages of radiation treatment strategies for heterogeneous tumors using a dynamical system model that consist of radiation-resistant and parental populations with unique interactive properties, namely, PC3 and DU145 prostate cancer cell lines. We show that stronger doses of radiation given in longer time intervals, while keeping the overall dosage the same, are effective in PC3 cell lines, but not in DU145 cell lines. In addition, we tested ...


Numerical Treatment For Special Type Of Mixed Linear Delay Volterra Integro-Differential Equations, Atheer J. Kadhim 2022 University of Technology,Iraq

Numerical Treatment For Special Type Of Mixed Linear Delay Volterra Integro-Differential Equations, Atheer J. Kadhim

Emirates Journal for Engineering Research

The idea of research is a representation of the nonlinear pseudo-random generators using state-space equations that is not based on the usual description as shift register synthesis but in terms of matrices. Different types of nonlinear pseudo-random generators with their algorithms have been applied in order to investigate the output pseudo-random sequences. Moreover, two examples are given for conciliated the results of this representation.


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