East Tennessee State University
Rose-Hulman Institute of Technology
Frostburg State University
AAR Aerospace Consulting, LLC
Southern Methodist University
Marshall University
Virginia Commonwealth University
University of Lynchburg
The University of Western Ontario
University of New Mexico
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 ...
Flocc: From Agent-Based Models To Interactive Simulations On The Web,
2021
Open Set
Flocc: From Agent-Based Models To Interactive Simulations On The Web, Scott Donaldson
Northeast Journal of Complex Systems (NEJCS)
Agent-based modeling (ABM) is a computational technique wherein systems are represented through the actions and interactions of many individual entities (‘agents’) over time. ABM often attempts to elucidate the unpredictable, high-level behavior of systems through the predictable, low-level behavior of actors within the system. There are currently few software or frameworks for ABM that allow modelers to design and build interactive models on the web, for a wide audience as well as a scientifically literate audience well-versed in complexity, models, and simulations. Flocc is a novel framework for agent-based modeling written in JavaScript, the lingua franca programming language of the ...
Entropic Dynamics Of Networks,
2021
Department of Physics, University at Albany, State University of New York
Entropic Dynamics Of Networks, Felipe Xavier Costa, Pedro Pessoa
Northeast Journal of Complex Systems (NEJCS)
Here we present the entropic dynamics formalism for networks. That is, a framework for the dynamics of graphs meant to represent a network derived from the principle of maximum entropy and the rate of transition is obtained taking into account the natural information geometry of probability distributions. We apply this framework to the Gibbs distribution of random graphs obtained with constraints on the node connectivity. The information geometry for this graph ensemble is calculated and the dynamical process is obtained as a diffusion equation. We compare the steady state of this dynamics to degree distributions found on real-world networks.
Emergent Hierarchy Through Conductance-Based Degree Constraints,
2021
Air Force Research Laboratory / Clarkson University
Emergent Hierarchy Through Conductance-Based Degree Constraints, Christopher Tyler Diggans, Jeremie Fish, Erik M. Bollt
Northeast Journal of Complex Systems (NEJCS)
The presence of hierarchy in many real-world networks is not yet fully understood. We observe that complex interaction networks are often coarse-grain models of vast modular networks, where tightly connected subgraphs are agglomerated into nodes for simplicity of representation and computational feasibility. The emergence of hierarchy in such growing complex networks may stem from one particular property of these ignored subgraphs: their graph conductance. Being a quantification of the main bottleneck of flow through the coarse-grain node, this scalar quantity implies a structural limitation and supports the consideration of heterogeneous degree constraints. The internal conductance values of the subgraphs are ...
Network-Based Analysis Of Early Pandemic Mitigation Strategies: Solutions, And Future Directions,
2021
Syracuse University
Network-Based Analysis Of Early Pandemic Mitigation Strategies: Solutions, And Future Directions, Pegah Hozhabrierdi, Raymond Zhu, Maduakolam Onyewu, Sucheta Soundarajan
Northeast Journal of Complex Systems (NEJCS)
Despite the large amount of literature on mitigation strategies for pandemic spread, in practice, we are still limited by na\"ive strategies, such as lockdowns, that are not effective in controlling the spread of the disease in long term. One major reason behind adopting basic strategies in real-world settings is that, in the early stages of a pandemic, we lack knowledge of the behavior of a disease, and so cannot tailor a more sophisticated response. In this study, we design different mitigation strategies for early stages of a pandemic and perform a comprehensive analysis among them. We then propose a ...
Anticipation Induces Polarized Collective Motion In Attraction Based Models,
2021
Lafayette College
Anticipation Induces Polarized Collective Motion In Attraction Based Models, Daniel Strömbom, Alice Antia
Northeast Journal of Complex Systems (NEJCS)
Moving animal groups are prime examples of natural complex systems. In most models of such systems each individual updates its heading based on the current positions and headings of its neighbors. However, recently, a number of models where the heading update instead is based on the future anticipated positions/headings of the neighbors have been published. Collectively these studies have established that including anticipation may have drastically different effects in different models. In particular, anticipation inhibits polarization in alignment-based models and in one alignment-free model, but promotes polarization in another alignment-free model. Indicating that our understanding of how anticipation affects ...
Are Terrorist Networks Just Glorified Criminal Cells?,
2021
USMA
Are Terrorist Networks Just Glorified Criminal Cells?, Elie Alhajjar, Ryan Fameli, Shane Warren
Northeast Journal of Complex Systems (NEJCS)
The notions of organized crime and terrorism have an old and rich history around the globe. Researchers and practitioners have been studying events and phenomena related to these notions for a long time. There are pointers in the literature in which it is misleading to see the unfair comparison between terrorist and criminal networks with the argument that all actors involved in these networks are simply evil individuals. In this paper, we conduct a systematic study of the operational structure of such networks from a network science perspective. We highlight some of the major differences between them and support our ...
Multicomponent Fokas-Lenells Equations On Hermitian Symmetric Spaces,
2021
Bulgarian Academy of Sciences
Multicomponent Fokas-Lenells Equations On Hermitian Symmetric Spaces, Vladimir Gerdjikov, Rossen Ivanov
Articles
Multi-component integrable generalizations of the Fokas-Lenells equation, associated with each irreducible Hermitian symmetric space are formulated. Description of the underlying structures associated to the integrability, such as the Lax representation and the bi-Hamiltonian formulation of the equations is provided. Two reductions are considered as well, one of which leads to a nonlocal integrable model. Examples with Hermitian symmetric spaces of all classical series of types A.III, BD.I, C.I and D.III are presented in details, as well as possibilities for further reductions in a general form.
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 ...
Personalized Immunotherapy Treatment Strategies For A System Of Chronic Myelogenous Leukemia,
2020
Tijuana Institute of Technology, Mexico
Personalized Immunotherapy Treatment Strategies For A System Of Chronic Myelogenous Leukemia, Paul Valle
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
A Mathematical Model Illustrating Atherosclerotic Plaque Formation,
2020
Illinois State University
A Mathematical Model Illustrating Atherosclerotic Plaque Formation, Debasmita Mukherjee
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.
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.
Mathematical Modelling Of Temperature Effects On The Afd Neuron Of Caenorhabditis Elegans,
2020
Illinois State University
Mathematical Modelling Of Temperature Effects On The Afd Neuron Of Caenorhabditis Elegans, Zachary Mobille, Rosangela Follmann, Epaminondas Rosa
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.
Mathematical Modelling And In Silico Experimentation To Estimate The Quantity Of Covid-19 Infected Individuals In Tijuana, México,
2020
Tijuana Institute of Technology, México
Mathematical Modelling And In Silico Experimentation To Estimate The Quantity Of Covid-19 Infected Individuals In Tijuana, México, Karla A. Encinas, Luis N. Coria, 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.
Singularities And Global Solutions In The Schrodinger-Hartree Equation,
2020
Florida International University
Singularities And Global Solutions In The Schrodinger-Hartree Equation, Anudeep Kumar
FIU Electronic Theses and Dissertations
In 1922, Louis de Broglie proposed wave-particle duality and introduced the idea of matter waves. In 1925, Erwin Schrodinger, proposed a wave equation for de Broglie’s matter waves. The Schrodinger equation is described using the de Broglie’s matter wave, which takes the wave function, and describes its quantum state over time.
Herein, we study the generalized Hartree (gHartree) equation, which is a nonlinear Schrodinger type equation except now the nonlinearities are a nonlocal (convolution) type. In the gHartree equation, the influence on the behavior of the solutions is global as opposed to the case of local (power type ...
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.
