Lexicographic Sensitivity Functions For Nonsmooth Models In Mathematical Biology, 2021 University of Maine

#### Lexicographic Sensitivity Functions For Nonsmooth Models In Mathematical Biology, Matthew D. Ackley

*Electronic Theses and Dissertations*

Systems of ordinary differential equations (ODEs) may be used to model a wide variety of real-world phenomena in biology and engineering. Classical sensitivity theory is well-established and concerns itself with quantifying the responsiveness of such models to changes in parameter values. By performing a sensitivity analysis, a variety of insights can be gained into a model (and hence, the real-world system that it represents); in particular, the information gained can uncover a system's most important aspects, for use in design, control or optimization of the system. However, while the results of such analysis are desirable, the approach that classical ...

Population And Evolution Dynamics In Predator-Prey Systems With Anti-Predation Responses, 2021 The University of Western Ontario

#### Population And Evolution Dynamics In Predator-Prey Systems With Anti-Predation Responses, Yang Wang

*Electronic Thesis and Dissertation Repository*

This thesis studies the impact of anti-predation strategy on the population dynamics of predator-prey interactions. This work includes three research projects.

In the first project, we study a system of delay differential equations by considering both benefit and cost of anti-predation response, as well as a time delay in the transfer of biomass from the prey to the predator after predation. We reveal some insights on how the anti-predation response level and the biomass transfer delay jointly affect the population dynamics; we also show how the nonlinearity in the predation term mediated by the fear effect affects the long term ...

The Fundamental Limit Theorem Of Countable Markov Chains, 2021 Liberty University

#### The Fundamental Limit Theorem Of Countable Markov Chains, Nathanael Gentry

*Senior Honors Theses*

In 1906, the Russian probabilist A.A. Markov proved that the independence of a sequence of random variables is not a necessary condition for a law of large numbers to exist on that sequence. Markov's sequences -- today known as Markov chains -- touch several deep results in dynamical systems theory and have found wide application in bibliometrics, linguistics, artificial intelligence, and statistical mechanics. After developing the appropriate background, we prove a modern formulation of the law of large numbers (fundamental theorem) for simple countable Markov chains and develop an elementary notion of ergodicity. Then, we apply these chain convergence results ...

The Revised Nim For Solving The Non-Linear System Variant Boussinesq Equations And Comparison With Nim, 2020 University of Mosul, Mosul

#### The Revised Nim For Solving The Non-Linear System Variant Boussinesq Equations And Comparison With Nim, Oday Ahmed Jasim

*Karbala International Journal of Modern Science*

This research aims to guide researchers to use a new method, and it is the Revised New Iterative Method (RNIM) to solve partial differential equation systems and apply them to solve problems in various disciplines such as chemistry, physics, engineering and medicine. In this paper, the numerical solutions of the nonlinear Variable Boussinesq Equation System (VBE) were obtained using a new modified iterative method (RNIM); this was planned by (Bhaleker and Datterder-Gejj). A numerical solution to the Variable Boussinesq Equation System (VBE) was also found using a widely known method, a new iterative method (NIM). By comparing the numerical solutions ...

Sum Of Cubes Of The First N Integers, 2020 California State University, San Bernardino

#### Sum Of Cubes Of The First N Integers, Obiamaka L. Agu

*Electronic Theses, Projects, and Dissertations*

In Calculus we learned that Sum^{n}_{k=1} k = [n(n+1)]/2 , that Sum^{n}_{k=1} k^2 = [n(n+1)(2n+1)]/6 , and that Sum^{n}_{k=1} k^{3} = (n(n+1)/2)^{2}. These formulas are useful when solving for the area below quadratic or cubic function over an interval [a, b]. This tedious process, solving for areas under a quadratic or a cubic, served as motivation for the introduction of Riemman integrals. For the overzealous math student, these steps were replaced by a simpler method of evaluating antiderivatives at ...

Asymptotic Analysis Of Radial Point Rupture Solutions For Elliptic Equations, 2020 Illinois State University

#### Asymptotic Analysis Of Radial Point Rupture Solutions For Elliptic Equations, Attou Miloua

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.

Viewing Ode Models Through A New Lens: The Generalized Linear Chain Trick, 2020 University of Nevada, Reno

#### Viewing Ode Models Through A New Lens: The Generalized Linear Chain Trick, Paul Hurtado, Cameron Richards

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.

Strange Periodic Behavior In An Epilepsy Model, 2020 VCU

#### Strange Periodic Behavior In An Epilepsy Model, David Chan, Candace Kent, William Strasser

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.

Applying Immuno-Epidemiology Principles To Violence, 2020 University of Tennessee, Knoxville

#### Applying Immuno-Epidemiology Principles To Violence, Anna H. Sisk, Nina H. Fefferman, Judy Day, Patricia Bamwine

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.

Various Mathematical Models To Study Covid-19 Pandemic Dynamics With Quarantine, Hospitalized And Non-Pharmaceutical Interventions As Control Strategies, 2020 JC DAV COLLEGE DASUYA, PUNJAB, INDIA

#### Various Mathematical Models To Study Covid-19 Pandemic Dynamics With Quarantine, Hospitalized And Non-Pharmaceutical Interventions As Control Strategies, Amit Sharma, Bhanu Gupta

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.

A Malaria-Hiv/Aids Co-Infection Model With Optimal Treatment And Insecticide-Treated Bednets, 2020 Augusta University

#### A Malaria-Hiv/Aids Co-Infection Model With Optimal Treatment And Insecticide-Treated Bednets, Eric Numfor

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.

A Teaching Module For Mathematical Epidemiology Using Matlab Or R, 2020 University of Nebraska - Lincoln

#### A Teaching Module For Mathematical Epidemiology Using Matlab Or R, Glenn Ledder

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.

A Mathematical Model Of Flexible Collective Defense: Crisis Response In Stingless Bees, 2020 Arizona State University

#### A Mathematical Model Of Flexible Collective Defense: Crisis Response In Stingless Bees, Maria Gabriela Navas Zuloaga, Kaitlin M. Baudier, Theodore P. Pavlic, Jennifer Fewell, Noam Ben-Asher, Yun Kang

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.

Analysis, Control Of Efsb Pest Population Using Graph Theoretic Approach And Pattern Formation In The Pest Model, 2020 Illinois State University

#### Analysis, Control Of Efsb Pest Population Using Graph Theoretic Approach And Pattern Formation In The Pest Model, Pankaj Gulati

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.

Can Modeling Save Florida’S Native Bromeliads From The Evil Weevil?, 2020 Rhodes College

#### 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.

In Silico Modelling For The Treatment Of Gastric Cancer, 2020 Tijuana Institute of Technology, Mexico

#### In Silico Modelling For The Treatment Of Gastric Cancer, Leonardo F. Martinez, Diana Gamboa, Paul A. Valle

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.

A Predator-Prey Model With Parasitic Infection Of The Predator, 2020 Illinois State University

#### A Predator-Prey Model With Parasitic Infection Of The Predator, Cole Butler

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.

The Role Of Diversity Amplification For Personal Protection Control Strategies In Vector-Borne Disease Models, 2020 University of Maryland

#### The Role Of Diversity Amplification For Personal Protection Control Strategies In Vector-Borne Disease Models, Jeffery Demers, Sharon Bewick, Justin M. Calabrese, William F. Fagan

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Mathematical Modeling Of Gliding Motility And Its Regulation In Myxococcus Xanthus, 2020 Virginia Polytechnic Institute and State University

#### Mathematical Modeling Of Gliding Motility And Its Regulation In Myxococcus Xanthus, Yirui Chen

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

A Mathematical Framework To Augment Metrics Of Small Intestinal Health, 2020 University of Tennessee, Knoxville

#### A Mathematical Framework To Augment Metrics Of Small Intestinal Health, Cara J. Sulyok, Judy Day, Suzanne Lenhart

*Biology and Medicine Through Mathematics Conference*

No abstract provided.