Physical Sciences and Mathematics Commons^™

Stability Of Modified Host-Parasitoid Model With Allee Effect, Özlem A. Gümüs, A. G. Maria Selvam, R. Janagaraj

Applications and Applied Mathematics: An International Journal (AAM)

This paper deals with a host-parasitoid model subject to Allee effect and its dynamical behavior. Steady state points of the proposed host-parasitoid model are computed. Stability properties are analyzed with eigen values of Jacobian matrix which are determined at the steady states. Theoretical findings are supported by numerical illustrations and enhanced by pictorial representations such as bifurcation diagrams, phase portraits and local amplifications for different parameter values. Existence of chaotic behavior in the system is established via bifurcation and sensitivity analysis of the system at the initial conditions. Various phase portraits are simulated for a better understanding of the qualitative …

Stability Analysis Of Circular Robe’S R3bp With Finite Straight Segment And Viscosity, Bhavneet Kaur, Sumit Kumar, Shipra Chauhan, Dinesh Kumar

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, the effect of viscous force on the linear stability of equilibrium points of the circular Robe’s restricted three-body problem (CRR3BP) with smaller primary as a finite straight segment is studied. The present model comprises of a bigger primary m^*₁ which is a rigid spherical shell filled with a homogeneous incompressible fluid of density ρ₁ and the smaller primary m₂ lies outside the shell. The infinitesimal mass m₃ is a small solid sphere of density ρ₃ moving inside m^*₁. The pertinent equations of motion of m₃ are derived …

Heat And Mass Transfer In Micropolar Model For Blood Flow Through A Stenotic Tapered Artery, Moses S. Dada, Funmilola Alamu-Awoniran

Applications and Applied Mathematics: An International Journal (AAM)

Heat and mass transfer in blood flow through a tapered artery with mild stenosis is examined. The blood is considered to be an incompressible, micropolar fluid flowing through a vessel with nonsymmetric axial and symmetric radial axes. The geometry of the model takes into account the shape parameter, tapered angle and height of the stenosis.The variation in the shape parameter is used to describe the changes in the axial shape of the stenosis in the artery. The governing equations for the model, comprising the continuity, momentum, energy, and mass transfer equations are transformed and simplified under the assumption of mild …

Controlling And Synchronizing Combined Effect Of Chaos Generated In Generalized Lotka-Volterra Three Species Biological Model Using Active Control Design, Taqseer Khan, Harindri Chaudhary

Applications and Applied Mathematics: An International Journal (AAM)

In this work, we study hybrid projective combination synchronization scheme among identical chaotic generalized Lotka-Volterra three species biological systems using active control design. We consider here generalized Lotka-Volterra system containing two predators and one prey population existing in nature. An active control design is investigated which is essentially based on Lyapunov stability theory. The considered technique derives the global asymptotic stability using hybrid projective combination synchronization technique. In addition, the presented simulation outcomes and graphical results illustrate the validation of our proposed scheme. Prominently, both the analytical and computational results agree excellently. Comparisons versus others strategies exhibiting our proposed technique …

Accurate Spectral Algorithms For Solving Variable-Order Fractional Percolation Equations, M. A. Abdelkawy

Applications and Applied Mathematics: An International Journal (AAM)

A high accurate spectral algorithm for one-dimensional variable-order fractional percolation equations (VO-FPEs) is considered.We propose a shifted Legendre Gauss-Lobatto collocation (SL-GLC) method in conjunction with shifted Chebyshev Gauss-Radau collocation (SC-GR-C) method to solve the proposed problem. Firstly, the solution and its space fractional derivatives are expanded as shifted Legendre polynomials series. Then, we determine the expansion coefficients by reducing the VO-FPEs and its conditions to a system of ordinary differential equations (SODEs) in time. The numerical approximation of SODEs is achieved by means of the SC-GR-C method. The under-study’s problem subjected to the Dirichlet or non-local boundary conditions is presented …

Dynamical Behavior Of An Eco-Epidemiological Model Incorporating Prey Refuge And Prey Harvesting, Dawit Melese, Ousman Muhye, Subrata K. Sahu

Applications and Applied Mathematics: An International Journal (AAM)

In this paper an eco-epidemiological model incorporating a prey refuge and prey harvesting with disease in the prey-population is considered. Predators are assumed to consume both the susceptible and infected prey at different rates. The positivity and boundedness of the solution of the system are discussed. The existence and stability of the biologically feasible equilibrium points are investigated. Numerical simulations are performed to support our analytical findings.

Multilayer Security Of Rgb Image In Discrete Hartley Domain, Umar H. Mir, Deep Singh, D. C. Mishra, Parveiz N. Lone

Applications and Applied Mathematics: An International Journal (AAM)

In this article, we present RGB image encryption and decryption using random matrix affine cipher (RMAC) associated with discrete Hartley transform (DHT) and random matrix shift cipher (RMSC). The parameters in RMAC and RMSC phases act as two series of secret keys whose arrangement is imperative in the proposed algorithm. The computer simulations with results and examples are given to analyze the efficiency of the proposed approach. Further, security analysis and comparison with the prior techniques successfully supports the robustness and validation of the proposed technique.

Explicit Formulas For Solutions Of Maxwell’S Equations In Conducting Media, Valery Yakhno

Applications and Applied Mathematics: An International Journal (AAM)

A new explicit presentation of the fundamental solution of the time-dependent Maxwell’s equations in conducting isotropic media is derived by Hadamard techniques through the fundamental solution of the telegraph operator. This presentation is used to obtain explicit formulas for generalized solutions of the initial value problem for Maxwell’s equations. A new explicit Kirchhoff’s formula for the classical solution of the initial value problem for the Maxwell equations in conducting media is derived. The obtained explicit formulas can be used in the boundary integral method, Green’s functions method and for computation of electric and magnetic fields in conducting media and materials.

An Efficient Algorithm For Numerical Inversion Of System Of Generalized Abel Integral Equations, Sandeep Dixit

Applications and Applied Mathematics: An International Journal (AAM)

In this article a direct method is introduced, which is based on orthonormal Bernstein polynomials, to present an efficient and stable algorithm for numerical inversion of the system of singular integral equations of Abel type. The appropriateness of earlier numerical inversion methods was restricted to the one portion of singular integral equations of Abel type. The proposed method is absolutely accurate, and numerical illustrations are given to show the convergence and utilization of the suggested method and comparisons are made with some other existing numerical solution.

Replenishment Policy For Pareto Type Deteriorating Items With Quadratic Demand Under Partial Backlogging And Delay In Payments, Ganesh Kumar, Ramesh Inaniyan, Sunita -

Applications and Applied Mathematics: An International Journal (AAM)

The present model develops a replenishment policy in which the demand rate is quadratic polynomial-time function. Deterioration rate is a Pareto type function. Shortages are partial backlogging and delay in payments are allowed. Holding cost is a linear function of time. The backlogging rate varies with the waiting duration for the next replenishment. The present paper determines the optimal policy for the individual by minimizing the total cost. The optimization procedure has been explained by a numerical example and a detailed sensitivity analysis of the optimal solution has been carried out to display the effect of various parameters.

A New Approach To The Q-Conjugacy Character Tables Of Finite Groups, Ali Moghani

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we study the Q-conjugacy character table of an arbitrary finite group and introduce a general relation between the degrees of Q-conjugacy characters with their corresponding reductions. This could be accomplished by using the Hermitian symmetric form. We provide a useful technique to calculate the character table of a finite group when its corresponding Qconjugacy character table is given. Then, we evaluate our results in some useful examples. Finally, by using GAP (Groups, Algorithms and Programming) package, we calculate all the dominant classes of the sporadic Conway group Co₂ enabling us to find all possible the integer-valued …

Integrated Farm Model For Optimal Allocation Of Resources- A Linear Programming Approach, Mahak Bhatia, Anil Rana

Applications and Applied Mathematics: An International Journal (AAM)

The mathematical model for optimal allocation of farm resources, especially land and water are proposed to optimize the resources that contribute to increase farm revenues. A study is being carried out, to analyze the cropping practice adopted by growers, depending on availability and accessibility of resources. Different crop-combinations and cropping patterns are being analyzed in districts of Rajasthan. Rajasthan has arid topography with varying weather conditions. Thus, a diverse crop variety is being cultivated in a region. Being a state with inadequate water resources, the formulated model proposed different crop combinations alternatives. A crop-mix model is developed to reduce the …

On Higher-Order Duality In Nondifferentiable Minimax Fractional Programming, S. Al-Homidan, Vivek Singh, I. Ahmad

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we consider a nondifferentiable minimax fractional programming problem with continuously differentiable functions and formulated two types of higher-order dual models for such optimization problem.Weak, strong and strict converse duality theorems are derived under higherorder generalized invexity.

On The Unsolvability Conditions For Quasilinear Pseudohyperbolic Equations, Birilew Tsegaw

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we study the nonexistence of global weak solutions to the Cauchy problem of quasilinear pseudohyperbolic equations with damping term. The sufficient conditions for nonexistence of nontrivial global weak solutions is obtained in terms of exponents, singularities order and other parameters in the problem. The nonlinear capacity method is applied to prove nonexistence theorems. The proofs of our nonexistence theorems are based on deriving apriori estimates for the possible solutions to the problem by an algebraic analysis of the integral form of inequalities with an optimal choice of test functions. The result is extended to the case of …

Vertical Motion Of The Variable Infinitesimal Mass In The Circular Sitnikov Problem, Abdullah A. Ansari, Sada N. Prasad, Chaman Singh

Applications and Applied Mathematics: An International Journal (AAM)

The circular case of Sitnikov problem is studied here when the infinitesimal body varies its mass according to Jeans law and it is moving along the z-axis which is perpendicular to the orbital plane of the two equal spherical primaries. The two primaries are moving in xy-plane on the same circular path. These two primaries are imposing the Newtonian forces on the third variable mass body but not influenced by it. Stability of equilibrium points is examined followed by the derived equations of motion. The time-series solutions of the equation of motion are performed by using the Lindstedt-Poincaré method which …

On Submoduloids Of A Moduloid On Nexus, Reza Kamranialiabad, Abbas Hasankhani, Masoud Bolourian

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, the submoduloid of a moduloid on nexus that is generated by a subset, cyclic submoduloid and bounded sets are defined and the properties of structures on it are investigated. Also, the fractions of a moduloid on nexus are defined and shown to be isomorphic with a moduloid on nexus.

Dual Pole Indicatrix Curve And Surface, Süleyman Senyurt, Abdussamet Çalıskan

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, the vectorial moment vector of the unit Darboux vector, which consists of the motion of the Frenet vectors on any curve, is reexpressed in the form of Frenet vectors. According to the new version of this vector, the parametric equation of the ruled surface corresponding to the unit dual pole indicatrix curve is given. The integral invariants of this surface are rederived and illustrated by presenting with examples.

On An Ecological Model Of Mutualisim Between Two Species With A Mortal Predator, Srinivasarao Thota

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we study an ecological model of a three-space food chain consists of two logically growing mutual species and third species acts as a predator to second mutual species with Holling type II functional response. This model is constituted by a system of nonlinear decoupled ordinary differential equations. By using perturbed method, we identify the nature of the system at each equilibrium point and also global stability is investigated for this model using Lypanov function at the possible equilibrium points.

Thermometry And Microstructural Analysis Imply Protracted Extensional Exhumation Of The Tso Morari Uhp Nappe, Northwestern Himalaya: Implications For Models Of Uhp Exhumation, Sean P. Long, Matthew J. Kohn, Buchanan C. Kerswell, Jesslyn K. Starnes, Kyle P. Larson, Nolan R. Blackford, Emmanuel Soignard

Geosciences Faculty Publications and Presentations

Documenting the processes that facilitate exhumation of ultrahigh‐pressure (UHP) rocks at convergent margins is critical for understanding orogen dynamics. Here, we present structural and temperature data from the Himalayan UHP Tso Morari nappe (TMN) and overlying nappes, which we integrate with published pressure‐temperature‐time constraints to refine interpretations for their structural evolution and exhumation history. Our data indicate that the 5.5‐km‐thick TMN is the upper portion of a penetratively deformed ductile slab, which was extruded via distributed, pure shear‐dominated, top‐down‐to‐east shearing. Strain in the TMN is recorded by high‐strength quartz fabrics (density norms between 1.74 and 2.86) and finite strain data …

All-Dielectric Magnetic Metasurface For Advanced Light Control In Dual Polarizations Combined With High-Q Resonances, Daria O. Ignatyeva, Dolendra Karki, Andrey A. Voronov, Mikhail A. Kozhaev, Denis M. Krichevsky, Alexander I. Chernov, Miguel Levy, Vladimir I. Belotelov

Michigan Tech Publications, Part 1

Nanostructured magnetic materials provide an efficient tool for light manipulation on sub-nanosecond and sub-micron scales, and allow for the observation of the novel effects which are fundamentally impossible in smooth films. For many cases of practical importance, it is vital to observe the magneto-optical intensity modulation in a dual-polarization regime. However, the nanostructures reported on up to date usually utilize a transverse Kerr effect and thus provide light modulation only for p-polarized light. We present a concept of a transparent magnetic metasurface to solve this problem, and demonstrate a novel mechanism for magneto-optical modulation. A 2D array of bismuth-substituted iron-garnet …

Scalable Structural Index Construction For Json Analytics, Lin Jiang, Junqiao Qiu, Zhijia Zhao

Michigan Tech Publications, Part 1

JavaScript Object Notation ( JSON) and its variants have gained great popularity in recent years. Unfortunately, the performance of their analytics is often dragged down by the expensive JSON parsing. To address this, recent work has shown that building bitwise indices on JSON data, called structural indices, can greatly accelerate querying. Despite its promise, the existing structural index construction does not scale well as records become larger and more complex, due to its (inherently) sequential construction process and the involvement of costly memory copies that grow as the nesting level increases. To address the above issues, this work introduces Pison …

Hunting Contests In New York State, Tyler Caffrey

Honors College Theses

The world is currently in a biodiversity crisis and hunting contests cannot continue. Hunting contests are not legitimate wildlife management tools, but exist for entertainment and killing for a prize. Many of the species targeted can be killed without bag limits. Additionally, many wildlife management practices are retroactive, meaning they are in response to an issue. Within New York State, these contests are not regulated by the NYSDEC beyond adhering to hunting regulations. With these factors together, animals targeted by these contests can be hunted to a detrimental point, and then management agencies would step in. These contests face significant …

Structure Analysis Of Natural Wangdaodeite—Linbo3-Type Fetio3, Oliver Tschauner, Chi Ma, Matthew G. Newville, Antonio Lanzirotti

Geoscience Faculty Research

© 2020 by the authors. Licensee MDPI, Basel, Switzerland. This paper reports the first structure refinement of natural wangdaodeite, LiNbO3-type FeTiO3 from the Ries impact structure. Wangdaodeite occurs together with recrystallized ilmenite clasts in shock melt veins which have experienced peak shock pressures of between 17 and 22 GPa. Comparison of natural and synthetic wangdaodeite points toward a correlation between the distortion of ferrate-and titanate-polyhedra and the c/a ratio of the unit cell. The Raman spectrum of wangdaodeite is calculated based on the refined structure. Comparison to the reported spectrum of the type-material shows that the Raman peak at 738–740 …

Implementation Of An Electronic Alert For Improving Adherence To Diabetic Foot Exam Screenings In Type 2 Diabetic Patients In Primary Care Clinics, Ruby Denson

Student Scholarly Projects

Practice Problem: Patients with type 2 diabetes mellitus (T2DM) are at an increased risk of complications including foot ulcerations (Harris-Hayes et al., 2020). Preventive care is essential for the early detection of foot ulcers but despite the advantages of preventive screening, a limited number of primary care providers perform annual foot exams (Williams et al., 2018).

PICOT: The clinical question that guided this project was, “In adult patients with T2DM receiving care in a primary care setting, will the implementation of an electronic clinical reminder alert (ECR) increase provider adherence to performing an annual diabetic foot exam and risk …

Hypervalent Iodine Compounds With Halogen-Containing And Phosphinate Ligands, Yakun Cao

Chemistry Theses and Dissertations

In modern organic chemistry, hypervalent (HV) iodine(III) compounds have been used widely as oxidizing agents but applications of λ³-iodanes in polymer and material chemistry is still underexplored. In the first project, a new series of heterocyclic HV iodine(III) compounds with I–Cl bonds and various substituents at the N atom were synthesized and successfully employed in the synthesis of highly branched polymers when added to mixtures of styrene and 1,4-divinylbenzene containing 10–80 mol% of the divinyl crosslinker, or even pure crosslinker. HV iodine(III) also can be utilized for polymer modification. HV iodine(III) compounds with fluorine-containing ligands (F, CF_{3 …}

A Spitzer Survey Of Deep Drilling Fields To Be Targeted By The Vera C. Rubin Observatory Legacy Survey Of Space And Time, M. Lacy, J. A. Surace, D. Farrah, K. Nyland, J. Afonso, W. N. Brandt, D. L. Clements, C. D. P. Lagos, C. Maraston, J. Pforr, A. Sajina, M. Sako, M. Vaccari, G. Wilson, D. R. Ballantyne, Wayne A. Barkhouse, R. Brunner, R. Cane, T. E. Clarke, M. Cooper, A. Cooray, G. Covone, C. D'Andrea, A. E. Evrard, H. C. Ferguson, J. Frieman, V. Gonzalez-Perez, R. Gupta, E. Hatziminaoglou, J. Huang, P. Jagannathan, M. J. Jarvis, K. M. Jones, A. Kimball, C. Lidman, L. Lubin, L. Marchetti, P. Martini, R. G. Mcmahon, S. Mei, H. Messias, E. J. Murphy, J. A. Newman, R. Nichol, R. P. Norris, S. Oliver, I. Perez-Fournon, W. M. Peters, M. Pierre, E. Polisensky, G. T. Richards, S. E. Ridgway, H. J. A. Röttgering, N. Seymour, R. Shirley, R. Somerville, M. A. Strauss, N. Suntzeff, P. A. Thorman, E. Van Kampen, A. Verma, R. Wechsler, W. M. Wood-Vasey

Physics Faculty Publications

The Vera C. Rubin Observatory Legacy Survey of Space and Time (LSST) will observe several Deep Drilling Fields (DDFs) to a greater depth and with a more rapid cadence than the main survey. In this paper, we describe the ‘DeepDrill’ survey, which used the Spitzer Space Telescope Infrared Array Camera (IRAC) to observe three of the four currently defined DDFs in two bands, centred on 3.6 and 4.5 μm. These observations expand the area that was covered by an earlier set of observations in these three fields by the Spitzer Extragalactic Representative Volume Survey (SERVS). The combined DeepDrill and …

Structured Data Mining Networks, Time Series, And Time Series Of Networks, Lin Zhang

Legacy Theses & Dissertations (2009 - 2024)

The rate at which data is generated in modern applications has created an unprecedented demand for novel methods to effectively and efficiently extract insightful patterns. Methods aware of known domain-specific structure in the data tend to be advantageous. In particular, a joint temporal and networked view of observations offers a holistic lens to many real-world systems. Example domains abound: activity of social network users, gene interactions over time, a temporal load of infrastructure networks, and others. Existing analysis and mining approaches for such data exhibit limited quality and scalability due to their sensitivity to noise, missing observations, and the need …

On The Plastic-Free Path: Plastic-Free Living, Hannah Natzke

Honors Projects

What is living plastic-free like? This project explores the trials and triumphs of living a plastic-free life. Although this project is only mandates that the participant lives plastic-free for a month, it still investigates the challenges faced by longer plastic-free living.

Parton Distribution Functions From Ioffe Time Pseudodistributions From Lattice Calculations: Approaching The Physical Point, Bálint Joó, Joseph Karpie, Kostas Orginos, Anatoly V. Radyushkin, David G. Richards, Savvas Zafeiropoulos

Physics Faculty Publications

We present results for the unpolarized parton distribution function of the nucleon computed in lattice QCD at the physical pion mass. This is the first study of its kind employing the method of Ioffe time pseudodistributions. Beyond the reconstruction of the Bjorken-x dependence, we also extract the lowest moments of the distribution function using the small Ioffe time expansion of the Ioffe time pseudodistribution. We compare our findings with the pertinent phenomenological determinations.

Estimating The Age And Mechanism Of Boulder Transport Related With Extreme Waves Using Lichenometry, Maria A. Oliveira, Esteve Llop, César Andrade, Cristina Branquinho, Ronald Goble, Sónia Queiroz, Maria C. Freitas, Pedro Pinho

Department of Earth and Atmospheric Sciences: Faculty Publications

Tsunamis and storms cause considerable coastal flooding, numerous fatalities, destruction of structures, and erosion. The characterization of energy and frequency associated with each wave contribute to the risk assessment in coastal regions. Coastal boulder deposits represent a physical proof of extreme inundation and allow us to study the effects of marine floods further back in time than instrumental and historical records. Age estimation of these deposits is challenging due to lack of materials (such as sand, shells, corals, or organic matter) that retain information about the passage of time. Lichenometry, a simple age estimation method, which is cost effective, quick …