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Illinois State University

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Articles 1 - 30 of 88

Full-Text Articles in Dynamic Systems

Managing Multi-Drug Resistance: An Evolutionary Game Theory And Optimal Control Approach, Shukhrat Nasrulloev Jan 2026

Managing Multi-Drug Resistance: An Evolutionary Game Theory And Optimal Control Approach, Shukhrat Nasrulloev

Theses and Dissertations

Multi-drug resistance is an evolutionary process in which treatment eliminates sensitive cells, allowing resistant clones to dominate. This thesis investigates this process using a framework integrating population dynamics, evolutionary game theory, and optimal control theory. We develop a two-population logistic growth model describing competition between drug-sensitive and drug-resistant cells under treatment, construct dose-dependent payoff matrices and replicator dynamics to characterize evolutionary competition, and derive a critical drug level Dcrit = (rS - rR)/(dS - dR) at which resistant cells gain a fitness advantage. An optimal control problem is formulated via Pontryagin's Maximum Principle to identify schedules …


Using Compartmental Systems Of Ordinary Differential Equations And Optimal Control Theory To Compute Ideal Quantities Of Mentors For Student Populations, Timofey B. Gafurov Nov 2025

Using Compartmental Systems Of Ordinary Differential Equations And Optimal Control Theory To Compute Ideal Quantities Of Mentors For Student Populations, Timofey B. Gafurov

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Investigating The Basic Reproduction Number For An Avian Influenza Model, Omar Saucedo Nov 2025

Investigating The Basic Reproduction Number For An Avian Influenza Model, Omar Saucedo

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Computational Models For Pre-Lens Tear Film Drug Concentration Dynamics With Drug Supply From A Contact Lens And Drug Exchange During Blinking, Mazen A. Althobaiti Nov 2025

Computational Models For Pre-Lens Tear Film Drug Concentration Dynamics With Drug Supply From A Contact Lens And Drug Exchange During Blinking, Mazen A. Althobaiti

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


[Kyda] The Behavioral Spillover Effect: Modeling Behavioral Interdependencies In Multi-Pathogen Dynamics, Leah Lejeune, Omar Saucedo, Lauren M. Childs, Navid Ghaffarzadegan Nov 2025

[Kyda] The Behavioral Spillover Effect: Modeling Behavioral Interdependencies In Multi-Pathogen Dynamics, Leah Lejeune, Omar Saucedo, Lauren M. Childs, Navid Ghaffarzadegan

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Following Carbon: Pathway And Flux Representations Of Ecosystems, Caner Kazanci Nov 2025

Following Carbon: Pathway And Flux Representations Of Ecosystems, Caner Kazanci

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Culture Mediates Climate Opinion Change: A System Dynamics Model, Louis (Lou) Gross, Yoon Ah Shin, Sara M. Constantino, Ann Kinzig, Katherine Lacasse, Brian Beckage Nov 2025

Culture Mediates Climate Opinion Change: A System Dynamics Model, Louis (Lou) Gross, Yoon Ah Shin, Sara M. Constantino, Ann Kinzig, Katherine Lacasse, Brian Beckage

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


[Reev] Describing Social Movement Evolutionary Pathways Through The Conviction-Moderated Adaptive Voter Model, Arturo F. Serrano Borrero, Dylan Green, Olivia J. Chu Nov 2025

[Reev] Describing Social Movement Evolutionary Pathways Through The Conviction-Moderated Adaptive Voter Model, Arturo F. Serrano Borrero, Dylan Green, Olivia J. Chu

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Generalized Reciprocity In Female Norway Rats: A Mathematical Model Of Population Dynamics, Mei Q. Gordon Washington, Olivia J. Chu Nov 2025

Generalized Reciprocity In Female Norway Rats: A Mathematical Model Of Population Dynamics, Mei Q. Gordon Washington, Olivia J. Chu

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Reconstructing Gene Regulatory Networks From Time-Series Data In Knime, Raina Robeva Nov 2025

Reconstructing Gene Regulatory Networks From Time-Series Data In Knime, Raina Robeva

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Mathematical Models Of Disease Transmission In Long-Term Care Facilities, Cara Sulyok Nov 2025

Mathematical Models Of Disease Transmission In Long-Term Care Facilities, Cara Sulyok

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Modeling Dengue Transmission: Data Assimilation, Identifiability, Reproduction Number, And Stability Analysis, Owen Mcmann Nov 2025

Modeling Dengue Transmission: Data Assimilation, Identifiability, Reproduction Number, And Stability Analysis, Owen Mcmann

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Can We End The Hiv Epidemic In The U.S.? Linking Clinical And National Surveillance Data Through Multiscale Modeling From Patients To Populations, Necibe Tuncer Nov 2025

Can We End The Hiv Epidemic In The U.S.? Linking Clinical And National Surveillance Data Through Multiscale Modeling From Patients To Populations, Necibe Tuncer

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


[Lele] Measles And Mandates– What Will Happen If Florida Repeals The Mmr Vaccine Mandate?, Alice Oveson, Abba Gumel Nov 2025

[Lele] Measles And Mandates– What Will Happen If Florida Repeals The Mmr Vaccine Mandate?, Alice Oveson, Abba Gumel

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Representing Ewe-Lamb Contact Dynamics In An Agent-Based Model Of Enzootic Abortion Of Ewes, Kelly R. Buch, Cara J. Sulyok Nov 2025

Representing Ewe-Lamb Contact Dynamics In An Agent-Based Model Of Enzootic Abortion Of Ewes, Kelly R. Buch, Cara J. Sulyok

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Metapopulation Model For Oyster Restoration, Leah Shaw Nov 2025

Metapopulation Model For Oyster Restoration, Leah Shaw

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Understanding The Spread Of Black Sigatoka Disease: A Deterministic And Stochastic Modeling Approach, Bernard Asamoah Afful, Luis F. Gordillo Nov 2025

Understanding The Spread Of Black Sigatoka Disease: A Deterministic And Stochastic Modeling Approach, Bernard Asamoah Afful, Luis F. Gordillo

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Using Compartmental Systems Of Ordinary Differential Equations And Optimal Control Theory To Compute Ideal Quantities Of Mentors For Student Populations, Timofey B. Gafurov Nov 2025

Using Compartmental Systems Of Ordinary Differential Equations And Optimal Control Theory To Compute Ideal Quantities Of Mentors For Student Populations, Timofey B. Gafurov

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Shevtsov: Growing Pains And Growing Gains: The Arizona Experience, Tynan Lazarus, Jane Shevtsov Nov 2024

Shevtsov: Growing Pains And Growing Gains: The Arizona Experience, Tynan Lazarus, Jane Shevtsov

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Kreig: Examining Affinity Maturation And Antigenic Drift With An Agent-Based Model, Jasmine Af Kreig, Jannatul Ferdous, Ruian Ke, Ruy M. Ribeiro Nov 2024

Kreig: Examining Affinity Maturation And Antigenic Drift With An Agent-Based Model, Jasmine Af Kreig, Jannatul Ferdous, Ruian Ke, Ruy M. Ribeiro

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Bodine: Exploring The Versatility Of Agent-Based Modeling In Netlogo: Lessons From Education And Research, Anne E. Yust Nov 2024

Bodine: Exploring The Versatility Of Agent-Based Modeling In Netlogo: Lessons From Education And Research, Anne E. Yust

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Utilizing Non-Negative Least Squares For Data-Driven Discovery Of Dynamics, Tracey G. Oellerich Nov 2023

Utilizing Non-Negative Least Squares For Data-Driven Discovery Of Dynamics, Tracey G. Oellerich

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Effect Of Under-Reporting, Vaccine Efficiency And Social Behavior On Epidemic Progression, Samiran Ghosh, Samiran Ghosh Nov 2023

Effect Of Under-Reporting, Vaccine Efficiency And Social Behavior On Epidemic Progression, Samiran Ghosh, Samiran Ghosh

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Optimal Harvest Control Within A Predator-Prey System: A Case Study In Chesapeake Bay Fishes, Iordanka Panayotova Nov 2023

Optimal Harvest Control Within A Predator-Prey System: A Case Study In Chesapeake Bay Fishes, Iordanka Panayotova

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Effects Of Seasonal Birth And Predation On Disease Spread, Leah Shaw, Allison Introne Nov 2023

Effects Of Seasonal Birth And Predation On Disease Spread, Leah Shaw, Allison Introne

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Intracellular Transport And Filament Organization In Neurons, Maria-Veronica Ciocanel Nov 2023

Intracellular Transport And Filament Organization In Neurons, Maria-Veronica Ciocanel

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Modeling The Long-Distance Effects Of Predation, Henry Ogu Nov 2023

Modeling The Long-Distance Effects Of Predation, Henry Ogu

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Msis-Kadelka: On The Uniqueness Of Network Identification, Alan Veliz-Cuba, Elena Dimitrova Nov 2023

Msis-Kadelka: On The Uniqueness Of Network Identification, Alan Veliz-Cuba, Elena Dimitrova

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Msis-Kadelka: Modularizing The Control Search For Biological Systems, David Murrugarra Nov 2023

Msis-Kadelka: Modularizing The Control Search For Biological Systems, David Murrugarra

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Msis-Ledder: Empowering Future Physicians: Modeling Disease Transmission With Netlogo To Encourage Mathematical Reasoning, Anne E. Yust Nov 2023

Msis-Ledder: Empowering Future Physicians: Modeling Disease Transmission With Netlogo To Encourage Mathematical Reasoning, Anne E. Yust

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.