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Articles 1 - 30 of 71

Full-Text Articles in Population Biology

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 …


[Kyda] The Role Of Human Movement On The Spread Of Mosquito-Borne Diseases, Omar Saucedo Nov 2025

[Kyda] The Role Of Human Movement On The Spread Of Mosquito-Borne Diseases, Omar Saucedo

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Exploring The Role Of Environmental Heterogeneity And Transmission In Mutualist Coexistence, Alexandra Campbell, Tom E.X. Miller Nov 2025

Exploring The Role Of Environmental Heterogeneity And Transmission In Mutualist Coexistence, Alexandra Campbell, Tom E.X. Miller

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.


[Reev] Developing A Stage-Structure Stoichiometric Aquatic Tri-Trophic Food Chain Model, Ghislaine Niyodusenga, Cecilia Norris, Caroline Orza, Jing Li, Angela Peace, Greg Mayer, Rebecca A. Everett Nov 2025

[Reev] Developing A Stage-Structure Stoichiometric Aquatic Tri-Trophic Food Chain Model, Ghislaine Niyodusenga, Cecilia Norris, Caroline Orza, Jing Li, Angela Peace, Greg Mayer, Rebecca A. Everett

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Analyzing The Effect Of A Holling Type Iii Functional Response On Predator-Prey Dynamics, Lawrence G. Seminario-Romero, Richard Rebarber, Brigitte Tenhumberg Nov 2025

Analyzing The Effect Of A Holling Type Iii Functional Response On Predator-Prey Dynamics, Lawrence G. Seminario-Romero, Richard Rebarber, Brigitte Tenhumberg

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.


[Chu] Modelling The Effect Of Disturbed Blood-Feeding On Mosquito-Borne Disease Transmission, Kyle Dahlin, Michael Robert, Lauren Childs Nov 2025

[Chu] Modelling The Effect Of Disturbed Blood-Feeding On Mosquito-Borne Disease Transmission, Kyle Dahlin, Michael Robert, Lauren Childs

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.


A Compartmental Model For Diurnal Atlantic Stingray Migration, Rhianna Yates, Leah Glasser, Elena Wheatley, Christopher Hay-Jahans Nov 2025

A Compartmental Model For Diurnal Atlantic Stingray Migration, Rhianna Yates, Leah Glasser, Elena Wheatley, Christopher Hay-Jahans

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


A Compartmental Model For Periodic Animal Migration, Rhianna Yates, Leah Glasser, Elena Wheatley, Christopher Hay-Jahans Nov 2025

A Compartmental Model For Periodic Animal Migration, Rhianna Yates, Leah Glasser, Elena Wheatley, Christopher Hay-Jahans

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


A Compartmental Model For Annual Blue Whale Migration, Leah Glasser, Christopher Hay-Jahans, Elena Wheatley, Rhianna Yates Nov 2025

A Compartmental Model For Annual Blue Whale Migration, Leah Glasser, Christopher Hay-Jahans, Elena Wheatley, Rhianna Yates

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Optimizing The Distribution Of Fruiting Agave On Bat-Friendly Tequila Plantations, Grace Gorreck, Clarissa Azurin, Lois Carpenter Nov 2025

Optimizing The Distribution Of Fruiting Agave On Bat-Friendly Tequila Plantations, Grace Gorreck, Clarissa Azurin, Lois Carpenter

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


From Ecology To Modeling Apps - Newts, Crayfish, And Slopes, Timothy Lucas Nov 2024

From Ecology To Modeling Apps - Newts, Crayfish, And Slopes, Timothy Lucas

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Bodine: An Agent-Based Modeling Approach To Studying Localized Coexistence Across Environmental Heterogeneity, Alexandra Campbell Nov 2024

Bodine: An Agent-Based Modeling Approach To Studying Localized Coexistence Across Environmental Heterogeneity, Alexandra Campbell

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Bodine: Modeling The Impacts Of An Invasive Weevil On The Evolutionary Dynamics And Population Viability Of A Florida Endangered Bromeliad, Erin N. Bodine Nov 2024

Bodine: Modeling The Impacts Of An Invasive Weevil On The Evolutionary Dynamics And Population Viability Of A Florida Endangered Bromeliad, Erin N. Bodine

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Effects Of Climate Change On The Gulf Fritillary Butterfly And Its Lethal Virus, Allison Dela Cruz, Damian Osuna, Arietta Fleming-Davies Nov 2024

Effects Of Climate Change On The Gulf Fritillary Butterfly And Its Lethal Virus, Allison Dela Cruz, Damian Osuna, Arietta Fleming-Davies

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


A Coupled Model Of Population, Poaching, And Economic Dynamics To Assess Rhino Conservation Through Legal Trade, Henry Doyle, Kylie Champagne, Ditto Rajpal, Grace Seebeck, David J. Gerberry Jan 2024

A Coupled Model Of Population, Poaching, And Economic Dynamics To Assess Rhino Conservation Through Legal Trade, Henry Doyle, Kylie Champagne, Ditto Rajpal, Grace Seebeck, David J. Gerberry

Spora: A Journal of Biomathematics

Rhinoceros populations in Africa are in peril largely due to the high value of their horns and the poaching that ensues. The strategy of legalizing the international trade of rhino horn is receiving increased support among both the people and government officials in Africa. Many in the international conservation community remain opposed to the idea. The legalization strategy is straightforward in theory: legalizing the trade of rhino horn will introduce a large quantity of horn to the market, the increased supply will lead to lower prices for rhino horn, and lower prices will reduce the overall poaching pressure these animals …


Msis-Capaldi: Using Mathematical Models To Evaluate Strategies For Managing White-Nose Syndrome In Little Brown Bats, Julie Blackwood Nov 2023

Msis-Capaldi: Using Mathematical Models To Evaluate Strategies For Managing White-Nose Syndrome In Little Brown Bats, Julie Blackwood

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Using A Coupled Integral Projection Model To Investigate Interspecific Competition During An Invasion: An Application To Silver Carp (Hypophthalmichthys Molitrix) And Gizzard Shad (Dorosoma Cepedianum), James Peirce Nov 2023

Using A Coupled Integral Projection Model To Investigate Interspecific Competition During An Invasion: An Application To Silver Carp (Hypophthalmichthys Molitrix) And Gizzard Shad (Dorosoma Cepedianum), James Peirce

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-Udiani: Tactics And Trade-Offs: The Evolution Of Host Resource Provisioning In Microbiome Management, Oyita Udiani, Nina Fefferman Nov 2023

Msis-Udiani: Tactics And Trade-Offs: The Evolution Of Host Resource Provisioning In Microbiome Management, Oyita Udiani, Nina Fefferman

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Msis-Kondrashov: Data-Driven Modeling With Integral Projection Models, James Peirce Nov 2023

Msis-Kondrashov: Data-Driven Modeling With Integral Projection Models, James Peirce

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Modeling The Population Demographics & Viability Of Imperiled Guzmania Monostachia Populations, Helen Pennington, Pranay Lingareddy, Erin N. Bodine May 2023

Modeling The Population Demographics & Viability Of Imperiled Guzmania Monostachia Populations, Helen Pennington, Pranay Lingareddy, Erin N. Bodine

Spora: A Journal of Biomathematics

Guzmania monostachia is a large, long-lived bromeliad whose leaves grow in a rosette pattern and is native to the Americas, but endangered in Florida due to damage caused by the invasive weevil Metamasius callizona. Each G. monostachia rosette can reproduce sexually via flowers or asexually by producing clonal offshoot rosettes. We model the population dynamics and demographic structure of a G. monostachia population using a Lefkovitch matrix model where each state represents a demographic class of rosettes. Model analysis over a range of uncertain parameters show the conditions under which a G. monostachia population is viable in the absence …


A Dynamical System Model Of Dengue Transmission For Rio De Janeiro, Brazil, Gregory Schmidt, Benjamin Whipple, Vinodh Chellamuthu, Xiaoxia Xie Jan 2023

A Dynamical System Model Of Dengue Transmission For Rio De Janeiro, Brazil, Gregory Schmidt, Benjamin Whipple, Vinodh Chellamuthu, Xiaoxia Xie

Spora: A Journal of Biomathematics

The dengue virus is a serious concern in many parts of the world, including Brazil. As data indicates, a prominent vector for dengue is the mosquito Aedes aegypti. By using the dengue incidence records from the Brazilian SINAN database, we estimate the population of A. aegypti within the city of Rio de Janeiro. Using historical climate data for Rio de Janeiro and the computed population estimates, we extend an existing model for the population dynamics of mosquitoes to incorporate precipitation in aquatic stages of development for A. aegypti.


An Integral Projection Modeling Approach To Understanding Demographic Effects Of Multispecies Mutualisms, Alexandra Campbell Nov 2022

An Integral Projection Modeling Approach To Understanding Demographic Effects Of Multispecies Mutualisms, Alexandra Campbell

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Modeling The Role Of Land Conversion On The Spread Of An Epizootic Disease, Dustin Padilla Nov 2022

Modeling The Role Of Land Conversion On The Spread Of An Epizootic Disease, Dustin Padilla

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Covid-19 And Challenges To The Classical Theory Of Epidemics, Simon Levin Nov 2022

Covid-19 And Challenges To The Classical Theory Of Epidemics, Simon Levin

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


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

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 over 90%, …


Analysis Of Sir Epidemic Models With Sociological Phenomenon, Robert F. Allen, Katherine C. Heller, Matthew A. Pons Mar 2022

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.