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A Mathematical Model For Predicting Animal Population Persistence On Fragmented Landscapes, Allyson Jones
A Mathematical Model For Predicting Animal Population Persistence On Fragmented Landscapes, Allyson Jones
Electronic Theses and Dissertations, 2020-2023
The effects of roads, buildings, and cities on animal populations are widespread and, often times, disastrous. These structures fragment animals' homes, inhibiting their ability to obtain essential resources and to reproduce. The question arises then: Under what circumstances can an animal population persist in a fragmented landscape? To attempt to answer this question, we present a spatially explicit reaction-diffusion model with varying growth and diffusion rates that incorporates animal behavior at points where habitats are fragmented for four different habitats. The outcome of extinction or persistence of the animal population is determined by examining the effects of changing parameters on …
Computation Of Effective Properties Of Smart Composite Materials With Generalized Periodicity Using The Two-Scales Asymptotic Homogenization Method, David Guinovart Sanjuan
Computation Of Effective Properties Of Smart Composite Materials With Generalized Periodicity Using The Two-Scales Asymptotic Homogenization Method, David Guinovart Sanjuan
Electronic Theses and Dissertations, 2020-2023
In this work, a general mathematical models for flexoelectric heterogeneous equilibrium boundary value problems are considered. A methodology to find the local problems and the effective properties of flexoelectric composites with generalized periodicity is presented, using a two-scales asymptotic homogenization method. The model of the homogenized boundary values problem is presented. A procedure to solve the local problems of stratified multilayered composites with wavy geometry with perfect contact at the interface is proposed. Further, a study of a multilayered piezoelectric composite with imperfect contact at the interface and the influence of the flexoelectric constituents in the behavior of heterogeneous structures …
Regularized Estimations In Some Statistical Problems, Feng Yu
Regularized Estimations In Some Statistical Problems, Feng Yu
Electronic Theses and Dissertations, 2020-2023
In this dissertation, we consider estimations with regularization in three statistical problems relating to linear time system, stochastic block model and matrix variate regression. In the first part of the dissertation, we specifically investigate Mixture Multilayer Stochastic Block Model, where layers can be partitioned into groups of similar networks, and networks in each group are equipped with a distinct Stochastic Block Model. The goal is to partition the multilayer network into clusters of similar layers, and to identify communities in those layers. The Mixture Multilayer Stochastic Block Model was introduced by Bing-yi Jing [2020] and a clustering methodology, TWIST, is …
Asymptotic Properties Of The Potentials For Greedy Energy Sequences On The Unit Circle, Ryan Edward Mccleary
Asymptotic Properties Of The Potentials For Greedy Energy Sequences On The Unit Circle, Ryan Edward Mccleary
Honors Undergraduate Theses
In this work, we analyze the asymptotic behavior of the minimum values of Riesz s-potentials generated by greedy s-energy sequences on the unit circle. The analysis is broken into the cases 0 < s < 1, s = 1, and s > 1, since the behavior of the minimum values of the Riesz s-potential undergoes a sharp transition at s = 1. For 0 < s < 1, the first-order behavior is already known. We obtain first-order asymptotic results for 0 < s < 1. We also prove first-order and second-order asymptotic formulas for s = 1 and investigate the first-order behavior for s > 1.