Application Of Optimal Control Theory To A Malaria Model, 2021 Murray State University

#### Application Of Optimal Control Theory To A Malaria Model, Cassidy Hill

*Murray State Theses and Dissertations*

With malaria still prevalent and considered to be one of the most devastating infectious diseases in the world, many scientific efforts have been made to reduce its impact. One such effort includes the construction of mathematical models. Mathematical models can be used to analyze malaria transmission dynamics in the human population. The development of these models allows researchers to consider the control measures necessary to reduce the prevalence of malaria infection and possibly eliminate it.

The model presented in this thesis will provide the relationship of female Anopheles mosquitoes and insecticide treated paint acting as the control. A deterministic system ...

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.

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.

Dynamic Between Biomass, Ph And Acid Lactic By Microorganisms In Fermentation Of Fresh Milk, 2020 Tecnológico Nacional de México/IT Durango

#### Dynamic Between Biomass, Ph And Acid Lactic By Microorganisms In Fermentation Of Fresh Milk, Emmanuel Rodriguez, Aurelio Castillo, Paul A. Valle, Yolocuauhtli Salazar

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.

Optimal Allocation Of Two Resources In Annual Plants, 2020 University of Nebraska - Lincoln

#### Optimal Allocation Of Two Resources In Annual Plants, David Mcmorris

*Dissertations, Theses, and Student Research Papers in Mathematics*

The fitness of an annual plant can be thought of as how much fruit is produced by the end of its growing season. Under the assumption that annual plants grow to maximize fitness, we can use techniques from optimal control theory to understand this process. We introduce two models for resource allocation in annual plants which extend classical work by Iwasa and Roughgarden to a case where both carbohydrates and mineral nutrients are allocated to shoots, roots, and fruits in annual plants. In each case, we use optimal control theory to determine the optimal resource allocation strategy for the plant ...

Evaluating Driving Performance Of A Novel Behavior Planning Model On Connected Autonomous Vehicles, 2020 University of Connecticut

#### Evaluating Driving Performance Of A Novel Behavior Planning Model On Connected Autonomous Vehicles, Keyur Shah

*Honors Scholar Theses*

Many current algorithms and approaches in autonomous driving attempt to solve the "trajectory generation" or "trajectory following” problems: given a target behavior (e.g. stay in the current lane at the speed limit or change lane), what trajectory should the vehicle follow, and what inputs should the driving agent apply to the throttle and brake to achieve this trajectory? In this work, we instead focus on the “behavior planning” problem—specifically, should an autonomous vehicle change lane or keep lane given the current state of the system?

In addition, current theory mainly focuses on single-vehicle systems, where vehicles do not ...

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.

Emergence, Mechanics, And Development: How Behavior And Geometry Underlie Cowrie Seashell Form, 2020 University of California Berkeley

#### Emergence, Mechanics, And Development: How Behavior And Geometry Underlie Cowrie Seashell Form, Michael G. Levy, Michael R. Deweese

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

A Novel Mathematical Model Of The Trojan Y-Chromosome Strategy With Optimal Control, 2020 Stephen F. Austin State University

#### A Novel Mathematical Model Of The Trojan Y-Chromosome Strategy With Optimal Control, Christopher Turner

*Electronic Theses and Dissertations*

Invasive species are a prevalent problem all over the world. Controlling and eradicating an invasive species is an even more diffcult problem. The Trojan Y Chromosome (TYC) eradication strategy is one control method. This method alters the female to male sex ratio by introducing sex reversed males called supermales. These sex reversed males can only produce male progeny. Mathematical models of this strategy have shown that a population can be driven to extinction with a continuous supply of these sex reversed males. There are many different mathematical models of this strategy, but most have serious flaws, such as negative solutions ...

Target Control Of Networked Systems, 2020 University of New Mexico

#### Target Control Of Networked Systems, Isaac S. Klickstein

*Mechanical Engineering ETDs*

The control of complex networks is an emerging field yet it has already garnered interest from across the scientific disciplines, from robotics to sociology. It has quickly been noticed that many of the classical techniques from controls engineering, while applicable, are not as illuminating as they were for single systems of relatively small dimension. Instead, properties borrowed from graph theory provide equivalent but more practical conditions to guarantee controllability, reachability, observability, and other typical properties of interest to the controls engineer when dealing with large networked systems. This manuscript covers three topics investigated in detail by the author: (i) the ...

Filtered-Dynamic-Inversion Control For Unknown Minimum-Phase Systems With Unknown Relative Degree, 2020 University of Kentucky

#### Filtered-Dynamic-Inversion Control For Unknown Minimum-Phase Systems With Unknown Relative Degree, Sumit Suryakant Kamat

*Theses and Dissertations--Mechanical Engineering*

We present filtered-dynamic-inversion (FDI) control for unknown linear time-invariant systems that are multi-input multi-output and minimum phase with unknown-but-bounded relative degree. This FDI controller requires limited model information, specifically, knowledge of an upper bound on the relative degree and knowledge of the first nonzero Markov parameter. The FDI controller is a single-parameter high-parameter-stabilizing controller that is robust to uncertainty in the relative degree. We characterize the stability of the closed-loop system. We present numerical examples, where the FDI controller is implemented in feedback with mathematical and physical systems. The numerical examples demonstrate that the FDI controller for unknown relative degree ...

Hybrid Electric Vehicle Energy Management Strategy With Consideration Of Battery Aging, 2020 Michigan Technological University

#### Hybrid Electric Vehicle Energy Management Strategy With Consideration Of Battery Aging, Bin Zhou

*Dissertations, Master's Theses and Master's Reports*

The equivalent consumption minimization strategy (ECMS) is a well-known energy management strategy for Hybrid Electric Vehicles (HEV). ECMS is very computationally efficient since it yields an instantaneous optimal control. ECMS has been shown to minimize fuel consumption under certain conditions. But, minimizing the fuel consumption often leads to excessive battery damage. The objective of this dissertation is to develop a real-time implementable optimal energy management strategy which improves both the fuel economy and battery aging for Hybrid Electric Vehicles by using ECMS. This work introduces a new optimal control problem where the cost function includes terms for both fuel consumption ...

Efficient Control Methods For Stochastic Boolean Networks, 2019 University of Kentucky

#### Efficient Control Methods For Stochastic Boolean Networks, David Murrugarra

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.

Controllability And Observability Of Time-Varying Linear Nabla Fractional Systems, 2019 Western Kentucky University

#### Controllability And Observability Of Time-Varying Linear Nabla Fractional Systems, Tilekbek Zhoroev

*Annual Symposium on Biomathematics and Ecology Education and Research*

No abstract provided.

Relaxation And Linear Programs On A Hybrid Control Model, 2019 CINVESTAV-IPN

#### Relaxation And Linear Programs On A Hybrid Control Model, Héctor Jasso-Fuentes, Jose-Luis Menaldi

*Mathematics Faculty Research Publications*

Some optimality results for hybrid control problems are presented. The hybrid model under study consists of two subdynamics, one of a standard type governed by an ordinary differential equation, and the other of a special type having a discrete evolution. We focus on the case when the interaction between the subdynamics takes place only when the state of the system reaches a given fixed region of the state space. The controller is able to apply *two* controls, each applied to one of the two subdynamics, whereas the state follows a composite evolution, of continuous type and discrete type. By the ...

Some Recent Developments On Pareto-Optimal Reinsurance, 2019 The University of Western Ontario

#### Some Recent Developments On Pareto-Optimal Reinsurance, Wenjun Jiang

*Electronic Thesis and Dissertation Repository*

This thesis focuses on developing Pareto-optimal reinsurance policy which considers the interests of both the insurer and the reinsurer. The optimal insurance/reinsurance design has been extensively studied in actuarial science literature, while in early years most studies were concentrated on optimizing the insurer’s interests. However, as early as 1960s, Borch argued that “an agreement which is quite attractive to one party may not be acceptable to its counterparty” and he pioneered the study on “fair” risk sharing between the insurer and the reinsurer. Quite recently, the question of how to strike a balance in risk sharing between an ...

Navigating Around Convex Sets, 2019 Portland State University

#### Navigating Around Convex Sets, J. J. P. Veerman

*Mathematics and Statistics Faculty Publications and Presentations*

We review some basic results of convex analysis and geometry in Rn in the context of formulating a differential equation to track the distance between an observer flying outside a convex set K and K itself.

Exact Feedback Linearization Of Systems With State-Space Modulation And Demodulation, 2019 University of New Orleans

#### Exact Feedback Linearization Of Systems With State-Space Modulation And Demodulation, Nikolaos I. Xiros Deng

*University of New Orleans Theses and Dissertations*

The control theory of nonlinear systems has been receiving increasing attention in recent years, both for its technical importance as well as for its impact in various fields of application. In several key areas, such as aerospace, chemical and petrochemical industries, bioengineering, and robotics, a new practical application for this tool appears every day. System nonlinearity is characterized when at least one component or subsystem is nonlinear. Classical methods used in the study of linear systems, particularly superposition, are not usually applied to the nonlinear systems. It is necessary to use other methods to study the control of these systems ...

Characterizing The Permanence And Stationary Distribution For A Family Of Malaria Stochastic Models, 2019 Virginia Commonwealth University

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

*Biology and Medicine Through Mathematics Conference*

No abstract provided.