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(R2071) Global Stability Analysis of CHIKV Dynamics Model with Adaptive Immunity and Distributed Time Delays
Get PDFThe application of mathematical biology and dynamical systems has proven to be an effective approach for studying viral infection models. To contribute to this research, our paper proposes a new CHIKV model that takes into account an adaptive immune response and distributed time delays, which accurately reflects the time lag between initial viral contacts and the production of new active CHIKV particles. By analyzing the model’s qualitative behavior, we establish a biological threshold number that can predict whether CHIKV will be cleared from or persist in the body. We demonstrate the global stability of both CHIKV-present and CHIKV-free steady states using the Lyapunov functional method and LaSalle’s invariance principle. In addition, we conduct numerical simulations to examine how time delays can affect the stability of the steady states. Through these simulations, we gain insights into how varying time delays can influence the persistence or clearance of CHIKV within the host
Implementation And Optimization Of A Secure, Scalable, And Robust Long-Range Low-Power Mesh Network For Enhanced Geo-Location Accuracy And Efficient Data Aggregation
Get PDFThe burgeoning realm of the Internet of Things (IoT) calls for advanced communication networks that can support an ever-increasing number of connected devices. Among these, Low Power Wide Area Networks (LPWANs), specifically LoRaWAN technology, have emerged as frontrunners due to their long-range, low-power capabilities, ideally suiting IoT\u27s expansive nature. This dissertation presents a comprehensive study on enhancing LoRaWAN technology to overcome the existing limitations in geolocation accuracy and data aggregation efficiency. The work is set against the backdrop of the technology\u27s vulnerability to signal attenuation in obstacle-rich environments and its challenges in scaling to accommodate dense networks without performance degradation. Moreover, the security of data transmission within such networks is scrutinized, with a specific focus on enhancing encryption protocols and visualization tools for more effective network management. The dissertation\u27s contributions are manifold, including the development of a private server framework utilizing Advanced Encryption Standard (AES) to fortify data transmission security. Furthermore, the integration of Grafana mapping solutions with LoRaWAN servers is explored to enable sophisticated data visualization and analytics. An adaptive algorithm is proposed to dynamically adjust the spreading factor based on signal strength indicators, improving network coverage and throughput. A rebroadcast location-unaware protocol specifically optimized for mesh network conditions in IoT domains is also introduced alongside a scalable geofencing system for remote monitoring. Central to this study is the innovative approach to geolocation, which eschews traditional GPS reliance. By harnessing parameters like Received Signal Strength Indicator (RSSI), Signal-to-Noise Ratio (SNR), and Time Difference of Arrival (TDOA), combined with machine learning and location triangulation methods, the research aims to conserve power while ensuring precise location tracking. This dissertation is organized into eight chapters, methodically detailing the problem statement, literature review, methodology, implementation, results, and conclusions. It culminates in suggesting future research directions that continue to push the boundaries of LoRaWAN technology, paving the way for its broader application in diverse IoT domains.
Index Terms- Geolocation Accuracy, IoT, LoRaWAN
(R2078) Analyzing the Effects of Fifth and Seventh Order Terms in a Generalized Henon-Heiles Potential
Get PDFThe Hénon-Heiles system is a 2-dimensional axisymmetric Hamiltonian system that was first formed to determine the third integral of motion in galactic dynamics. After its inception, it has become a paradigm in dynamical systems due to its apparent simplicity but extremely complicated dynamical behavior. In this paper, we perform a series expansion up to the seventh order of a general potential with axial and reflection symmetries. After some transformations, this becomes a generalized Hénon-Heiles (GHH) system where we separate the fifth and seventh-order terms. We qualitatively analyze this system for energies near the threshold between bounded and unbounded motion with Poincaré sections and quantitatively analyze with Lyapunov exponents. We find that particles far from the critical energy demonstrate less chaos. Additionally, the fifth-order term creates more regularity while the seventh-order term does the opposite
Adlerian Play Therapy In Schools: Essential Principles For A K-5th School-Based Mental Health Curriculum
Get PDFIn the United States, 70% to 80% of children who need some form of mental health intervention will not receive services. Schools are an environment that can serve as a critical site for mental health prevention and intervention. Adlerian Play Therapy (AdPT) is an evidence-based practice and has demonstrated efficacy in improving children’s social, emotional, and behavioral outcomes. This study sought to support research efforts to include Adlerian Play Therapy as a viable play-based intervention that could be used in school settings, similar to Child Centered Play Therapy. Increasing the utility of AdPT in school settings widens the scope of viable play therapy interventions in schools and further demonstrates the effectiveness of AdPT in addressing symptoms associated with mental health challenges that present in classroom settings.
This study utilized a qualitative cross-sectional research design. Qualitative data was gathered through focus groups with licensed mental health professionals who either had a play therapy credential (RPT, RPT-S, SB-RPT), or were actively seeking a play therapy credential, with experience working in a K-12 setting. The sample consisted of five 90-minute focus groups with a total of 18 participants. Transcripts generated from focus group sessions underwent a thematic analysis and were coded and analyzed for content and themes related to specified research questions.
Findings from data analysis suggest that AdPT is a better fit in school systems than traditional school-based mental health interventions, such as SEL, due to AdPT’s developmentally appropriate play-based processes for positive behavioral change. Potential barriers to implementation of AdPT in school settings include systemic obstacles, operational issues, and perceptual challenges. Strategies for addressing these barriers are included in addition to recommendations for future research.
Keywords: Adlerian play therapy, school-based mental health, social emotional learning, play therapy in education, barriers to mental health in schools, therapeutic interventions for childre
Home coming Visitor Guide
Get PDFHomecoming 2024 at Prairie View A&M University was a week to remember, packed with events that celebrated the University’s rich history, dynamic student body and accomplished alumni. With the theme “Legends and Legacies,” the week highlighted the individuals and traditions that have shaped the Institution’s enduring legacy
Home coming Parade Floats
Get PDFThe parade route begins at the intersection of University Drive and State Loop 1098, and ends at the corner of L. W. Minor St and R.B. Evans St
(R2097) Impact of Inclined Magnetic Field on Two Immiscible Viscous Fluids Flow in a Porous Channel with Variable Permeability: A Finite Difference Technique
Get PDFThis paper is concerned with the flow of two immiscible, viscous, incompressible, and electrically conducting fluids in a horizontal channel containing a porous material under an inclined magnetic field. The flow is propelled by a consistent pressure gradient. These two fluids have different viscosities in two separate layers of equal width. The fluid in the upper layer has a lower viscosity compared to the fluid in the lower layer. The Permeability of a porous medium is variable with the transverse direction. The Brinkman equation is employed to describe fluid flow within a porous medium. Numerical solutions for velocity and volumetric flow rate are derived using the finite difference method, employing well-known boundary conditions. The impact of different parameters such as the Hartmann number, permeability parameter, viscosity ratio parameter, etc., on the velocity profile and volumetric flow rate is presented graphically and discussed comprehensively
(R2104) On the Qualitative Results of Riemann-Liouville Fractional Order Nonlinear Neutral Singular Systems with Mixed Delays
Get PDFIn this manuscript, we discuss new conditions for asymptotic stability of nonlinear Riemann- Liouville fractional mixed-delay neutral singular systems. By constructing a set of improved Lyapunov-Krasovski˘ı functionals (LKFs), we establish some new delay-dependent conditions in terms of matrix inequality, which guarantees that the systems are asymptotically stable. In the particular case, we give four numerical examples with their solutions and graphs via MATLAB software demonstrating the practical applicability of these proven conditions. With this study, some conditions existing in the literature are developed and generalized
Joint Regional Conference
Get PDFPrairie View A&M University (PVAMU) and the University of Arkansas at Pine Bluff (UAPB) are hosting the third annual Sustainable Forestry and African American Land Retention (SFLR) Joint Regional Conference from August 29 to August 30. Themed “Sustaining Forests and Saving Our Land,” the virtual conference will gather forestry and land management experts to offer critical insight into retaining land within family generations and growing generational wealth. The SFLR Program assists African American forest landowners with entry into forest management and addressing barriers to land retention.
Several notable conference speakers include PVAMU’s newly appointed President, Tomikia P. LeGrande, Ed.D., Dean of the College of Agriculture, Food, and Natural Resources and Director of Land Grant Programs, Gerard D’Souza, Ph.D., USDA Under Secretary for Natural Resources and the Environment, Homer Wilkes, Ph.D., and many more.
Guests can also expect to hear speakers discuss navigating matters related to heirs’ property, carbon credits, carbon sequestration, suitable methods of climate-smart agriculture, and much more. There are over five million acres of forestry in East Texas–the most abundant is pine, with over a million acres of oak-pine timberland, followed by oak-hickory as the second most abundant.
This conference is free, and all are welcome to attend. For more information, please contact PVAMU Program Coordinator and SFLR Joint Regional Conference Co-Chair, Ms. Angela Moore, at [email protected], 936-261-5002, or UAPB KIITF Coordinator and SFLR Conference Co-Chair, Ms. Kandi Williams, at [email protected], 870-571-9428