Browsing by Author "Han, Xiaoying"

Now showing items 1-9 of 9

Analysis and Optimal control of deterministic Vector-Borne diseases model

Son, Hyunjin (2018-07-18)

In this dissertation, two systems of deterministic differential equations are introduced to study the transmission of vector-borne diseases between a host and a vector. The total population of the host and the vector are ...

Convergence Analysis and Numerical Simulation of Particle Swarm Optimization

Weerasinghe, Kariyawasam Ganesha (2017-04-21)

Nature, including mankind, loves to optimize and the world is far from being deterministic. Thus, stochastic optimization is an important and active area of research in applied mathematics. Inspired by the social behavior ...

Dynamical Behavior of Nonautonomous and Stochastic HBV Infection Model

Alsammani, Abdallah Alhadi Mahadi (2020-12-04)

Mathematical modeling of population and transmission dynamics of an infectious disease considered a critical theoretical epidemiology method provides a strong understanding of the virus dynamics. This dissertation studies ...

Dynamics and Optimal Control of the Growth of the Gut Microbiome with Varying Nutrient

Hall, Brittni (2023-07-27)

The human gut microbiome consists of all the microbes that make up the human intestinal tract, and many diseases are associated with certain microbial compositions in the gut. First, a mathematical model describing the ...

Dynamics of Chemotherapy Models with Variable Infusion and Time Delays

Abdulrashid, Ismail (2020-07-23)

Chemotherapy is a fundamental and commonly used form of cancer treatment, usually done with the application of a chemotherapy agent to the infected individual. The chemotherapy agent targets fast-growing cells including ...

Explicit Time Integration Methods Based on Simplified Stochastic Computational Singular Perturbation

Chang, Yung-Chieh (2018-07-26)

The research presented in this dissertation focuses on the development of efficient explicit time integration schemes for the chemical Langevin equations (CLEs). Due to the presence of multiple time scales in complex ...

Hopfield Neural Lattice Models

Usman, Basiru (2020-07-22) ETD File Embargoed

Hopfield neural network model is a continuous deterministic model proposed by John J. Hopfield in the early 1980’s. The model was proposed in an attempt to produced an artificial neural network architecture that mimic ...

Probability Equivalent Level of Value at Risk and Expected Shortfall

Zhang, Wanyu (2023-05-02) ETD File Embargoed

Probability Equivalent Level of Value at Risk and Expected Shortfall (PELVE) is a novel risk measure proposed and explored by Li and Wang (2020), in [16]. It is motivated by the transition from 99% Value-at-Risk (VaR) to ...

THEORY OF HIGH-DIMENSIONAL ℓ1-PENALIZED LOGISTIC REGRESSION

Otubo, Emmanuel (2023-08-04)

n the setting where sample size n is sufficiently large relative to the number of features p, a classical result is that fitting a logistic model by means of maximum likelihood produces estimates that are approximately ...