Open Access. Powered by Scholars. Published by Universities.®

Applied Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

Articles 1 - 30 of 44

Full-Text Articles in Applied Mathematics

Multi-Type Branching Processes In Time-Varying Environments, Arash Jamshidpey May 2024

Multi-Type Branching Processes In Time-Varying Environments, Arash Jamshidpey

Biology and Medicine Through Mathematics Conference

No abstract provided.


Mathematically Modeling Stoichiometric Drivers Of Nitrogen Fixation, Rebecca Everett, Corday Selden, Mohamed Hatha Abdulla, Jabir Thajudeen, James Powell, Edwin Cruz-Rivera, Luca Schenone, Renn Schipper, Megan Berberich, Halvor Halvorson, Robinson Fulweiler, Amy Marcarelli, Thad Scott May 2024

Mathematically Modeling Stoichiometric Drivers Of Nitrogen Fixation, Rebecca Everett, Corday Selden, Mohamed Hatha Abdulla, Jabir Thajudeen, James Powell, Edwin Cruz-Rivera, Luca Schenone, Renn Schipper, Megan Berberich, Halvor Halvorson, Robinson Fulweiler, Amy Marcarelli, Thad Scott

Biology and Medicine Through Mathematics Conference

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.


A Novel Family Of Chain Binomial Models To Investigate Correlated Vaccination And Infection Rates In Sveirs Epidemic Dynamics, Divine Wanduku May 2023

A Novel Family Of Chain Binomial Models To Investigate Correlated Vaccination And Infection Rates In Sveirs Epidemic Dynamics, Divine Wanduku

Biology and Medicine Through Mathematics Conference

No abstract provided.


Simulation And Latin Hypercube Sampling Of Mixed-Time Models In A Consumer-Resource Relationship, Boluwatife E. Awoyemi, Amanda N. Laubmeier, Richard L. Rebarber May 2023

Simulation And Latin Hypercube Sampling Of Mixed-Time Models In A Consumer-Resource Relationship, Boluwatife E. Awoyemi, Amanda N. Laubmeier, Richard L. Rebarber

Biology and Medicine Through Mathematics Conference

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.


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

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.


De-Coupling Cell-Autonomous And Non-Cell-Autonomous Fitness Effects Allows Solution Of The Fokker-Planck Equation For The Evolution Of Interacting Populations, Steph J. Owen May 2022

De-Coupling Cell-Autonomous And Non-Cell-Autonomous Fitness Effects Allows Solution Of The Fokker-Planck Equation For The Evolution Of Interacting Populations, Steph J. Owen

Biology and Medicine Through Mathematics Conference

No abstract provided.


Bioeconomic Analysis In A Predator-Prey System With Harvesting: A Case Study In The Chesapeake Bay Fisheries, Iordanka Panayotova, Maila Hallare May 2022

Bioeconomic Analysis In A Predator-Prey System With Harvesting: A Case Study In The Chesapeake Bay Fisheries, Iordanka Panayotova, Maila Hallare

Biology and Medicine Through Mathematics Conference

No abstract provided.


Ecological Dynamics On Large Metapopulation Graphs, Daniel Cooney Nov 2021

Ecological Dynamics On Large Metapopulation Graphs, Daniel Cooney

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Using Integral Projection Models To Study Silver Carp Management Practices, Cameron Coles Nov 2021

Using Integral Projection Models To Study Silver Carp Management Practices, Cameron Coles

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


The Effect Of Fcgammariia Polymorphisms On Dengue Outbreak Severity, Leah Darwin, Richard V. Clarke Nov 2020

The Effect Of Fcgammariia Polymorphisms On Dengue Outbreak Severity, Leah Darwin, Richard V. Clarke

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Can Modeling Save Florida’S Native Bromeliads From The Evil Weevil?, Erin N. Bodine, Zoe S. Brookover, Brian D. Christman, Sydney L. Davis, Alexis Kohnke Nov 2020

Can Modeling Save Florida’S Native Bromeliads From The Evil Weevil?, Erin N. Bodine, Zoe S. Brookover, Brian D. Christman, Sydney L. Davis, Alexis Kohnke

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


The Impacts Of Fishing And Stochasticity On Saving Coral Reefs, Robyn Blevins, Jordan Penn, Christopher Stieha Nov 2020

The Impacts Of Fishing And Stochasticity On Saving Coral Reefs, Robyn Blevins, Jordan Penn, Christopher Stieha

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Density-Dependent Development Impacts The Success Of Wolbachia-Based Mosquito Control Programs, Alyssa Petroski, Lauren M. Childs, Michael Andrew Robert May 2020

Density-Dependent Development Impacts The Success Of Wolbachia-Based Mosquito Control Programs, Alyssa Petroski, Lauren M. Childs, Michael Andrew Robert

Biology and Medicine Through Mathematics Conference

No abstract provided.


Eco-Evolutionary Dynamics Of Microbial Communities, Lihong Zhao May 2020

Eco-Evolutionary Dynamics Of Microbial Communities, Lihong Zhao

Biology and Medicine Through Mathematics Conference

No abstract provided.


The Role Of Variation In Mate Choice And Wolbachia Infection On Aedes Aegypti Population Dynamics, Bernardo Ameneyro May 2020

The Role Of Variation In Mate Choice And Wolbachia Infection On Aedes Aegypti Population Dynamics, Bernardo Ameneyro

Biology and Medicine Through Mathematics Conference

No abstract provided.


Parameter Estimation Within An Sir Model Of Chestnut Blight In North America, Anita Davelos Baines, Hope B. Anderson, John S. Mcalister, Robert F. Allen Oct 2019

Parameter Estimation Within An Sir Model Of Chestnut Blight In North America, Anita Davelos Baines, Hope B. Anderson, John S. Mcalister, Robert F. Allen

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Engaging Undergraduates In Research In Mathematical Biology With Limited Resources, Timothy Comar Oct 2019

Engaging Undergraduates In Research In Mathematical Biology With Limited Resources, Timothy Comar

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Period Drift In A Neutrally Stable Stochastic Oscillator, Kevin Sanft Oct 2019

Period Drift In A Neutrally Stable Stochastic Oscillator, Kevin Sanft

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Analysis Of An Agent-Based Model For Integrated Pest Management With Periodic Control Strategies, Timothy Comar Oct 2019

Analysis Of An Agent-Based Model For Integrated Pest Management With Periodic Control Strategies, Timothy Comar

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Improving Parasite Transmission Parameters For A Mathematical Model Of Swimmer's Itch Through Both Empirical And Analytical Techniques, Josey Sorenson Oct 2019

Improving Parasite Transmission Parameters For A Mathematical Model Of Swimmer's Itch Through Both Empirical And Analytical Techniques, Josey Sorenson

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.


Characterizing The Permanence And Stationary Distribution For A Family Of Malaria Stochastic Models, Divine Wanduku May 2019

Characterizing The Permanence And Stationary Distribution For A Family Of Malaria Stochastic Models, Divine Wanduku

Biology and Medicine Through Mathematics Conference

No abstract provided.


Effects Of Predator Diversity On Optimal Communities For Prey Suppression, Amanda N. Laubmeier May 2019

Effects Of Predator Diversity On Optimal Communities For Prey Suppression, Amanda N. Laubmeier

Biology and Medicine Through Mathematics Conference

No abstract provided.


Modelling Non-Linear Functional Responses In Competitive Biological Systems., Nickolas Goncharenko Mar 2019

Modelling Non-Linear Functional Responses In Competitive Biological Systems., Nickolas Goncharenko

Western Research Forum

One of the most versatile and well understood models in mathematical biology is the Competitive Lotka Volterra (CLV) model, which describes the behaviour of any number of exclusively competitive species (that is each species competes directly with every other species). Despite it's success in describing many phenomenon in biology, chemistry and physics the CLV model cannot describe any non-linear environmental effects (including resource limitation and immune response of a host due to infection). The reason for this is the theory monotone dynamical systems, which was codeveloped with the CLV model, does not apply when this non-linear effect is introduced. For …


Modeling The Transmission Of Wolbachia In Mosquitoes For Controlling Mosquito-Borne Diseases, Zhuolin Qu Oct 2018

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.


Dynamics Of A Stoichiometric Producer-Grazer System With Seasonal Effects On Light Level, Lale Asik Oct 2018

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.


Predicting Critical Transitions In Spatially Distributed Populations With Cubical Homology, Laura Storch, Sarah Day May 2018

Predicting Critical Transitions In Spatially Distributed Populations With Cubical Homology, Laura Storch, Sarah Day

Biology and Medicine Through Mathematics Conference

No abstract provided.


P-46 A Periodic Matrix Model Of Seabird Behavior And Population Dynamics, Mykhaylo M. Malakhov, Benjamin Macdonald, Shandelle M. Henson, J. M. Cushing Mar 2018

P-46 A Periodic Matrix Model Of Seabird Behavior And Population Dynamics, Mykhaylo M. Malakhov, Benjamin Macdonald, Shandelle M. Henson, J. M. Cushing

Honors Scholars & Undergraduate Research Poster Symposium Programs

Rising sea surface temperatures (SSTs) in the Pacific Northwest lead to food resource reductions for surface-feeding seabirds, and have been correlated with several marked behavioral changes. Namely, higher SSTs are associated with increased egg cannibalism and egg-laying synchrony in the colony. We study the long-term effects of climate change on population dynamics and survival by considering a simplified, cross-season model that incorporates both of these behaviors in addition to density-dependent and environmental effects. We show that cannibalism can lead to backward bifurcations and strong Allee effects, allowing the population to survive at lower resource levels than would be possible otherwise.