Qualitative Analysis Of A Modified Leslie-Gower Predator-Prey Model With Weak Allee Effect Ii,
2021
Babasaheb Bhimrao Ambedkar University
Qualitative Analysis Of A Modified Leslie-Gower Predator-Prey Model With Weak Allee Effect Ii, Manoj K. Singh, B. S. Bhadauria
Applications and Applied Mathematics: An International Journal (AAM)
The article aims to study a modified Leslie-Gower predator-prey model with Allee effect II, affecting the functional response with the assumption that the extent to which the environment provides protection to both predator and prey is the same. The model has been studied analytically as well as numerically, including stability and bifurcation analysis. Compared with the predator-prey model without Allee effect, it is found that the weak Allee effect II can bring rich and complicated dynamics, such as the model undergoes to a series of bifurcations (Homoclinic, Hopf, Saddle-node and Bogdanov-Takens). The existence of Hopf bifurcation has been shown for …
Anti-Synchronization Scheme For The Stability Analysis Of A Newly Designed Hamiltonian Chaotic System Based On Hénon-Heiles Model Using Adaptive Control Method,
2021
Jamia Millia Islamia
Anti-Synchronization Scheme For The Stability Analysis Of A Newly Designed Hamiltonian Chaotic System Based On Hénon-Heiles Model Using Adaptive Control Method, Ayub Khan, Anu Jain, Santosh Kaushik, Manoj Kumar, Harindri Chaudhary
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, a systematic approach to investigate the anti-synchronization among identical Hamiltonian chaotic systems has been proposed by using adaptive control method (ACM). Initially an adaptive controller and parameter update law are described to achieve asymptotical stability of state variables of given system with uncertain parameters using Lyapunov stability theory (LST). In addition, numerical simulations using MATLAB software are performed to validate the efficacy and effectiveness of the designed technique. Moreover, the proposed technique has numerous applications in encryption and secure communication.
Maximum Difference Extreme Difference Method For Finding The Initial Basic Feasible Solution Of Transportation Problems,
2021
African Institute for Mathematical Sciences
Maximum Difference Extreme Difference Method For Finding The Initial Basic Feasible Solution Of Transportation Problems, Ridwan Raheem Lekan, Lord Clifford Kavi, Nancy Ann Neudauer
Applications and Applied Mathematics: An International Journal (AAM)
A Transportation Problem can be modeled using Linear Programming to determine the best transportation schedule that will minimize the transportation cost. Solving a transportation problem requires finding the Initial Basic Feasible Solution (IBFS) before obtaining the optimal solution. We propose a new method for finding the IBFS called the Maximum Difference Extreme Difference Method (MDEDM) which yields an optimal or close to the optimal solution. We also investigate the computational time complexity of MDEDM, and show that it is O(mn).
A High Order Finite Difference Method To Solve The Steady State Navier-Stokes Equations,
2021
Prairie View A&M University
A High Order Finite Difference Method To Solve The Steady State Navier-Stokes Equations, Nihal J. Siriwardana, Saroj P. Pradhan
Applications and Applied Mathematics: An International Journal (AAM)
In this article, we develop a fourth order finite difference method to solve the system of steady state Navier-Stokes equations and apply it to the benchmark problem known as the square cavity flow problem. The numerical results of 𝑢-velocity components and 𝑣-velocity components obtained at the center of the cavity are compared with the results obtained by the method developed by Greenspan and Casulli to solve the time dependent system of Navier-Stokes equations. The method described in this article is easy to implement and it has been shown to be more efficient and stable than the method by Greenspan and …
Casson Fluid Flow Past On Vertical Cylinder In The Presence Of Chemical Reaction And Magnetic Field,
2021
Babu Banarasi Das University
Casson Fluid Flow Past On Vertical Cylinder In The Presence Of Chemical Reaction And Magnetic Field, Gaurav Kumar, S.M.K. Rizvi
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we have examined the behavior of unsteady flow of a viscous, incompressible and electrically conducting Casson fluid past an impulsively started vertical cylinder with variable temperature and mass diffusion in the presence of transversely applied uniform magnetic field and chemical reaction. The temperature and concentration level near the surface increase linearly with time. The governing equations of non-dimensional form of flow model have been solved numerically by using Crank-Nicolson implicit finite difference method. The velocity profile is discussed with the help of graphs drawn for different parameters like Casson fluid parameter, Prandtl number, chemical reaction parameter and …
Variation Iteration Method For Solving Ethanol And Acetaldehyde Concentrations In A Fixed Bed Laboratory Reactor,
2021
The Madura College (Autonomous)
Variation Iteration Method For Solving Ethanol And Acetaldehyde Concentrations In A Fixed Bed Laboratory Reactor, K. M. Dharmalingam, M. Veeramuni, Hadi Rezazadeh, Cemil Tunç
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we investigate the effects of nonlinear behaviour of the dimensionless concentrations of the ethanol and acetaldehyde in a fixed bed laboratory reactor. The work is based on solving the nonlinear differential equation of concentration of the ethanol and acetaldehyde by means of the He’s variational iteration method (VIM). Also, the numerical simulation (4th order Runge – Kutta method) is reported using Matlab software. The analytical solutions are compared with numerical results in order to achieve conclusions based on not only for accuracy and efficiency of the solutions, but also the simplicity of the taken procedures which would …
A Novel Color Image Encryption Scheme Based On Arnold’S Cat Map And 16-Byte S-Box,
2021
Quaid-i-Azam University
A Novel Color Image Encryption Scheme Based On Arnold’S Cat Map And 16-Byte S-Box, Tariq Shah, Ayesha Qureshi, Muhammad Usman
Applications and Applied Mathematics: An International Journal (AAM)
The presented work sets out to subsidize to the general body of knowledge in the field of cryptography application by evolving color image encryption and decryption scheme based on the amalgamation of pixel shuffling and efficient substitution. Arnold’s cat map is applied to snap off the correlation in pixels of image and the shuffled image is encrypted by 16-byte S-box substitution. Computer simulations with a standard test image and the outcome is presented to scrutinize the competence of the projected system. Several image-quality measures and security analyses have been made out for the encrypted image to estimate the statistical and …
Significance Of Coriolis Force On Eyring-Powell Flow Over A Rotating Non-Uniform Surface,
2021
Kenyatta University
Significance Of Coriolis Force On Eyring-Powell Flow Over A Rotating Non-Uniform Surface, Abayomi S. Oke, Winifred N. Mutuku
Applications and Applied Mathematics: An International Journal (AAM)
Coriolis force plays significant roles in natural phenomena such as atmospheric dynamics, weather patterns, etc. Meanwhile, to circumvent the unreliability of Newtonian law for flows involving varying speed, Eyring-Powell fluid equations are used in computational fluid dynamics. This paper unravels the significance of Coriolis force on Eyring-Powell fluid over the rotating upper horizontal surface of a paraboloid of revolution. Relevant body forces are included in the Navier-Stokes equations to model the flow of non-Newtonian Eyring-Powell fluid under the influence of Coriolis force. Using similarity transformation, the governing equations are nondimensionalized, thereby transforming the nonlinear partial differential equations to a system …
Thermal-Diffusion And Diffusion-Thermo Effects On Heat And Mass Transfer In Chemically Reacting Mhd Casson Nanofluid With Viscous Dissipation,
2021
University of Ilorin
Thermal-Diffusion And Diffusion-Thermo Effects On Heat And Mass Transfer In Chemically Reacting Mhd Casson Nanofluid With Viscous Dissipation, Timothy L. Oyekunle, Mojeed T. Akolade, Samson A. Agunbiade
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we examined the combined effects of dissipation and chemical reaction in Casson nanofluid motion through a vertical porous plate subjected to the magnetic field effect placed perpendicular to the flow channel. The physical problem is modeled using partial differential equations (PDEs). These sets of PDEs, with suitable similarity transformations, are simplified into ordinary differential equations (ODEs). Collocation technique with legendary basis function is utilized in solving the transformed equations. The numerical analysis on velocity, concentration, and temperature are plotted and tabled for different flow parameters. Our findings show that by raising the Casson parameter close to infinity, …
Hall Current And Radiation Effects On Unsteady Natural Convection Mhd Flow With Inclined Magnetic Field,
2021
University of Lucknow, Lucknow
Hall Current And Radiation Effects On Unsteady Natural Convection Mhd Flow With Inclined Magnetic Field, U. S. Rajput, Naval K. Gupta
Applications and Applied Mathematics: An International Journal (AAM)
In the present paper, Hall current and radiation effects on unsteady natural convection MHD flow with inclined magnetic field is studied. The viscous, incompressible and an electrically conducting fluid is considered. This model contains equations of motion, equation of energy and diffusion equation. The system of partial differential equations is transformed to dimensionless equations by using dimensionless variables. Exact solution of governing equations is obtained by Laplace Transform Technique. For analysing the solution of the model, desirable sets of the values of the parameters have been considered. The obtained results of velocity, concentration and temperature have been analysed with the …
Covid-19 Modeling With Caution In Relaxing Control Measures And Possibilities Of Several Peaks In Cameroon,
2021
The University of Ngaoundere
Covid-19 Modeling With Caution In Relaxing Control Measures And Possibilities Of Several Peaks In Cameroon, S. Y. Tchoumi, Y. T. Kouakep, D. J. Fotsa Mbogne, J. C. Kamgang, V. C. Kamla, D. Bekolle
Applications and Applied Mathematics: An International Journal (AAM)
We construct a new model for the comprehension of the Covid-19 dynamics in Cameroon. We present the basic reproduction number and perform some numerical analysis on the possible outcomes of the epidemic. The major results are the possibilities to have several peaks before the end of the first outbreak for an uniform strategy, and the danger to have a severe peak after the adoption of a careless strategy of barrier anti-Covid-19 measures that follow a good containment period.
Modelling Classroom Space Allocation At University Of Rwanda-A Linear Programming Approach,
2021
University of Rwanda
Modelling Classroom Space Allocation At University Of Rwanda-A Linear Programming Approach, Kambombo Mtonga, Evariste Twahirwa, Santhi Kumaran, Kayalvizhi Jayavel
Applications and Applied Mathematics: An International Journal (AAM)
Education and training play a key role as the human capital function. This is especially true for tertiary education. However, infrastructure and equipment limitations are some factors that limits levels of students' enrollment in universities. This is moreso the case in developing countries where much of the infrastructure developments are donor-funded. For institutional managers and administrators, the allocating of the limited available classroom space is a constant problem that needs sophisticated approaches to deal with. Linear Optimization technique has shown promise in dealing with this problem. This research seeks to assess the Rwandan education system and highlight strides made to …
Bessel-Maitland Function Of Several Variables And Its Properties Related To Integral Transforms And Fractional Calculus,
2021
Amity University
Bessel-Maitland Function Of Several Variables And Its Properties Related To Integral Transforms And Fractional Calculus, Ankita Chandola, Rupakshi M. Pandey, Ritu Agarwal
Applications and Applied Mathematics: An International Journal (AAM)
In the recent years, various generalizations of Bessel function were introduced and its various properties were investigated by many authors. Bessel-Maitland function is one of the generalizations of Bessel function. The objective of this paper is to establish a new generalization of Bessel-Maitland function using the extension of beta function involving Appell series and Lauricella functions. Some of its properties including recurrence relation, integral representation and differentiation formula are investigated. Moreover, some properties of Riemann-Liouville fractional operator associated with the new generalization of Bessel-Maitland function are also discussed.
Approximate 2-Dimensional Pexider Quadratic Functional Equations In Fuzzy Normed Spaces And Topological Vector Space,
2021
Urmia University
Approximate 2-Dimensional Pexider Quadratic Functional Equations In Fuzzy Normed Spaces And Topological Vector Space, Mohammad A. Abolfathi, Ali Ebadian
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we prove the Hyers-Ulam stability of the 2-dimensional Pexider quadratic functional equation in fuzzy normed spaces. Moreover, we prove the Hyers-Ulam stability of this functional equation, where f, g are functions defined on an abelian group with values in a topological vector space.
Outcomes Of Aspheric Primaries In Robe’S Circular Restricted Three-Body Problem,
2021
University of Delhi
Outcomes Of Aspheric Primaries In Robe’S Circular Restricted Three-Body Problem, Bhavneet Kaur, Shipra Chauhan, Dinesh Kumar
Applications and Applied Mathematics: An International Journal (AAM)
We consider the Robe’s restricted three-body problem in which the bigger primary is assumed to be a hydrostatic equilibrium figure as an oblate spheroid filled with a homogeneous incompressible fluid, around which a circular motion is described by the second primary, that is a finite straight segment. The aim of this note is to investigate the effect of oblateness and length parameters on the motion of an infinitesimal body that lies inside the bigger primary. The locations of the equilibrium points are approximated by the series expansions and it is found that two collinear equilibrium points lying on the line …
Global Stability Of Generalized Within-Host Chikungunya Virus Dynamics Models,
2021
King Abdulaziz University
Global Stability Of Generalized Within-Host Chikungunya Virus Dynamics Models, Taofeek O. Alade, Afeez Abidemi, Cemil Tunç, Shafeek A. Ghaleb
Applications and Applied Mathematics: An International Journal (AAM)
This paper proposes two models of a general nonlinear within-host Chikungunya virus (CHIKV) dynamics. The production, incidence, proliferation and removal rates of all compartments are modeled by general nonlinear functions that satisfy a set of reasonable conditions. The second model takes into consideration two forms of infected host cells: (i) latently infected cells which do not produce the CHIKV, (ii) actively infected cells which generate the CHIKV particles. We show that all the solutions of the models are nonnegative and bounded. The global stability of the steady states of the models is proven by applying Lyapunov method and LaSalle’s invariance …
Two Temperature Dual-Phase-Lag Fractional Thermal Investigation Of Heat Flow Inside A Uniform Rod,
2021
University of Mumbai
Two Temperature Dual-Phase-Lag Fractional Thermal Investigation Of Heat Flow Inside A Uniform Rod, Vinayak Kulkarni, Gaurav Mittal
Applications and Applied Mathematics: An International Journal (AAM)
A non-classical, coupled, fractionally ordered, dual-phase-lag (DPL) heat conduction model has been presented in the framework of the two-temperature theory in the bounded Cartesian domain. Due to the application of two-temperature theory, the governing heat conduction equation is well-posed and satisfying the required stability criterion prescribed for a DPL model. The mathematical formulation has been applied to a uniform rod of finite length with traction free ends considered in a perfectly thermoelastic homogeneous isotropic medium. The initial end of the rod has been exposed to the convective heat flux and energy dissipated by convection into the surrounding medium through the …
Numerical Solution Of Fuzzy Fractional Differential Equation By Haar Wavelet,
2021
Islamic Azad University
Numerical Solution Of Fuzzy Fractional Differential Equation By Haar Wavelet, Sakineh Khakrangin, Tofigh Allahviranloo, Nasser Mikaeilvand, Saeid Abbasbandy
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we deal with a wavelet operational method based on Haar wavelet to solve the fuzzy fractional differential equation in the Caputo derivative sense. To this end, we derive the Haar wavelet operational matrix of the fractional order integration. The given approach provides an efficient method to find the solution and its upper bond error. To complete the discussion, the convergence theorem is subsequently expressed in detail. So far, no paper has used the Harr wavelet method using generalized difference and fuzzy derivatives, and this is the first time we have done so. Finally, the presented examples reflect …
Numerical Technique For Solving Fractional-Order Of Ivgtt Glucose-Insulin Interaction,
2021
Beni-Suef University; Imam Mohammad Ibn Saud Islamic University (IMSIU)
Numerical Technique For Solving Fractional-Order Of Ivgtt Glucose-Insulin Interaction, M. A. Abdelkawy
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we use a numerical technique to solve fractional nonlinear differential equations systems that arise in Bergman’s minimal model that describe blood glucose and insulin metabolism, after intravenous tolerance testing. Shifted Jacobi -Gauss-Radau collocation (SJ-GR-C) method is developed for approximating the proposed model. The principal target in our technique is to transform the proposed model to a system of algebraic equations. Finally, numerical simulation is introduced to illustrate the analytical results.
Axisymmetric Thermoelastic Response In A Semi-Elliptic Plate With Kassir’S Nonhomogeneity In The Thickness Direction,
2021
M.G. College, Armori
Axisymmetric Thermoelastic Response In A Semi-Elliptic Plate With Kassir’S Nonhomogeneity In The Thickness Direction, Sonal Bhoyar, Vinod Varghese, Lalsingh Khalsa
Applications and Applied Mathematics: An International Journal (AAM)
The main objective is to investigate the transient thermoelastic reaction in a nonhomogeneous semi-elliptical elastic plate heated sectionally on the upper side of the semi-elliptic region. It has been assumed that the thermal conductivity, calorific capacity, elastic modulus and thermal coefficient of expansion were varying through thickness of the nonhomogeneous material according to Kassir’s nonhomogeneity relationship. The transient heat conduction differential equation is solved using an integral transformation technique in terms of Mathieu functions. In these formulations, modified total strain energy is obtained by incorporating the resulting moment and force within the energy term, thus reducing the step of the …
