Open Access. Powered by Scholars. Published by Universities.®
- Institution
-
- Prairie View A&M University (173)
- National University of Uzbekistan (7)
- Karbala International Journal of Modern Science (5)
- International Journal of Emerging Multidisciplinaries: Mathematics (3)
- Rose-Hulman Institute of Technology (3)
-
- Claremont Colleges (1)
- Illinois State University (1)
- Ministry of Higher and Secondary Specialized Education of the Republic of Uzbekistan (1)
- Purdue University (1)
- Rochester Institute of Technology (1)
- Tashkent State Technical University (1)
- United Arab Emirates University (1)
- University of the Pacific (1)
- Keyword
-
- Stability (16)
- Population (8)
- Adomian decomposition method (7)
- Caputo fractional derivative (7)
- Chemical reaction (7)
-
- Size-structure (7)
- Variational iteration method (7)
- Age-structure (5)
- Heat transfer (5)
- Steady state (5)
- Convergence (4)
- Exact solution (4)
- Exact solutions (4)
- First integral method (4)
- MHD (4)
- Reduced differential transform method (4)
- Thermal stresses (4)
- Adults (3)
- Approximate solutions (3)
- Bifurcation (3)
- Caputo derivative (3)
- Collocation method (3)
- Differential transform method (3)
- Diffusion (3)
- Eigenvalue problem (3)
- Epidemic (3)
- Fourier transform (3)
- Fractional calculus (3)
- Homotopy perturbation method (3)
- Horizontal transmission (3)
- Publication Year
- Publication
-
- Applications and Applied Mathematics: An International Journal (AAM) (173)
- Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences (7)
- Karbala International Journal of Modern Science (5)
- International Journal of Emerging Multidisciplinaries: Mathematics (3)
- Rose-Hulman Undergraduate Mathematics Journal (3)
Articles 181 - 199 of 199
Full-Text Articles in Applied Mathematics
Remarks On The Stability Of Some Size-Structured Population Models Iv: The General Case Of Juveniles And Adults, M. El-Doma
Applications and Applied Mathematics: An International Journal (AAM)
The stability of some size-structured population dynamics models is investigated when the population is divided into adults and juveniles. We determine the steady states and study their stability. We also give examples that illustrate the stability results. The results in this paper generalize previous results, for example, see Calsina, et al. (2003), El-Doma (2006), Farkas, et al. (2008), and El-Doma (2008 a).
Adomian Decomposition Method For Solving The Equation Governing The Unsteady Flow Of A Polytropic Gas, M. A. Mohamed
Adomian Decomposition Method For Solving The Equation Governing The Unsteady Flow Of A Polytropic Gas, M. A. Mohamed
Applications and Applied Mathematics: An International Journal (AAM)
In this article, we have discussed a new application of Adomian decomposition method on nonlinear physical equations. The models of interest in physics are considered and solved by means of Adomian decomposition method. The behavior of Adomian solutions and the effects of different values of time are investigated. Numerical illustrations that include nonlinear physical models are investigated to show the pertinent features of the technique.
Analytical Solution For Nonlinear Gas Dynamic Equation By Homotopy Analysis Method, Hossein Jafari, Changbum Chun, S. Seifi, M. Saeidy
Analytical Solution For Nonlinear Gas Dynamic Equation By Homotopy Analysis Method, Hossein Jafari, Changbum Chun, S. Seifi, M. Saeidy
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, the Homotopy Analysis Method (HAM) is used to implement the homogeneous gas dynamic equation. The analytical solution of this equation is calculated in form of a series with easily computable components.
Soliton Perturbation Theory For The Modified Kawahara Equation, Anjan Biswas
Soliton Perturbation Theory For The Modified Kawahara Equation, Anjan Biswas
Applications and Applied Mathematics: An International Journal (AAM)
The modified Kawahara equation is studied along with its perturbation terms. The adiabatic dynamics of the soliton amplitude and the velocity of the soliton are obtained by the aid of soliton perturbation theory.
On Existence And Uniqueness Theorem Concerning Time–Dependent Heat Transfer Model, Naji A. Qatanani, Qasem M. Heeh
On Existence And Uniqueness Theorem Concerning Time–Dependent Heat Transfer Model, Naji A. Qatanani, Qasem M. Heeh
Applications and Applied Mathematics: An International Journal (AAM)
In this article we consider a physical model describing time-dependent heat transfer by conduction and radiation. This model contains two conducting and opaque materials which are in contact by radiation through a transparent medium bounded by diffuse-grey surfaces. The aim of this work is to present a reliable framework to prove the existence and the uniqueness of a weak solution for this problem. The existence of the solution can be proved by solving an auxiliary problem by the Galerkin-based approximation method and Moser-type arguments which implies the existence of solution to the original problem. The uniqueness of the solution will …
Remarks On The Stability Of Some Size-Structured Population Models Iii: The Case Of Constant Inflow Of Newborns, Mohammed El-Doma
Remarks On The Stability Of Some Size-Structured Population Models Iii: The Case Of Constant Inflow Of Newborns, Mohammed El-Doma
Applications and Applied Mathematics: An International Journal (AAM)
The stability of some size-structured population dynamics models are investigated. We determine the steady states and study their stability. We also give examples that illustrate the stability results. The results in this paper generalize previous results, for example, see Calsina, et al. (2003), El- Doma (2006) and El-Doma (2008).
Oscillatory Behavior Of Second Order Neutral Differential Equations With Positive And Negative Coefficients, Jelena Manojlović, Yutaka Shoukaku, Tomoyuki Tanigawa, Norio Yoshida
Oscillatory Behavior Of Second Order Neutral Differential Equations With Positive And Negative Coefficients, Jelena Manojlović, Yutaka Shoukaku, Tomoyuki Tanigawa, Norio Yoshida
Applications and Applied Mathematics: An International Journal (AAM)
Oscillation criteria are obtained for solutions of forced and unforced second order neutral differential equations with positive and negative coefficients. These criteria generalize those of Manojlović, Shoukaku, Tanigawa and Yoshida (2006).
Remarks On The Stability Of Some Size-Structured Population Models Ii: Changes In Vital Rates Due To Size And Population Size, Mohammed El-Doma
Remarks On The Stability Of Some Size-Structured Population Models Ii: Changes In Vital Rates Due To Size And Population Size, Mohammed El-Doma
Applications and Applied Mathematics: An International Journal (AAM)
The stability of some size-structured population dynamics models are investigated. We determine the steady states and study their stability. We also give examples that illustrate the stability results. The results in this paper generalize previous results, for example, see Calsina, et al. (2003) and El-Doma (2006).
Age-Structured Population Model With Cannibalism, Mmohammed El-Doma
Age-Structured Population Model With Cannibalism, Mmohammed El-Doma
Applications and Applied Mathematics: An International Journal (AAM)
An age-structured population model with cannibalism is investigated. We determine the steady states and study the local asymptotic stability as well as the global stability. The results in this paper generalize previous results.
Stability Analysis For The Gurtin-Maccamy’S Age-Structured Population Dynamics Model, Mohammed El-Doma
Stability Analysis For The Gurtin-Maccamy’S Age-Structured Population Dynamics Model, Mohammed El-Doma
Applications and Applied Mathematics: An International Journal (AAM)
The stability of the Gurtin-MacCamy’s age-structured population dynamics model is investigated. We determine the steady states and study their stability. The results in this paper generalize previous results.
Global Stability Results Of An Sis Age-Structured Epidemic Model With Vertical Transmission, M. El-Doma
Global Stability Results Of An Sis Age-Structured Epidemic Model With Vertical Transmission, M. El-Doma
Applications and Applied Mathematics: An International Journal (AAM)
An SIS age-structured epidemic model for a vertically as well as horizontally transmitted disease is investigated when the fertility, mortality and cure rates depend on age and the force of infection of proportionate mixing assumption type. We determine the steady states and prove the global stability for the endemic equilibriums.
Parameter Estimation In Nonlinear Coupled Advection-Diffusion Equation, Robert R. Ferdinand
Parameter Estimation In Nonlinear Coupled Advection-Diffusion Equation, Robert R. Ferdinand
Applications and Applied Mathematics: An International Journal (AAM)
In this paper a coupled system of two nonlinear advection-diffusion equations is presented. Such systems of equations have been used in mathematical literature to describe the dynamics of contaminant present in groundwater flowing through cracks in a porous rock matrix and getting absorbed into it. An inverse method procedure that approximates infinite-dimensional model parameters is described and convergence results for the parameter approximants are proved. This is finally followed by a computational experiment to compare theoretical and numerical results to verify accuracy of the mathematics analysis presented.
A Partially Discretized Age-Dependent Population Model With An Additional Stucture, Jean Tchuenche
A Partially Discretized Age-Dependent Population Model With An Additional Stucture, Jean Tchuenche
Applications and Applied Mathematics: An International Journal (AAM)
A semi-discretization method for solving an age-dependent population dynamics model with an additional structure is proposed. This method, unlike previous ones, considers the partial discretization which reduces the model equation into a first order ordinary differential equation. The latter is then solved explicitly and conditions under which second order accuracy arises are given. While the approach adopted is basically analytical, the main result shows that the sum of errors is bounded. An extension to the non-trivial case where growth depends on the additional parameter leads to a Riccati equation, and the existence and
convergence of solutions are proved.
Oscillations Of Hyperbolic Systems With Functional Arguments, Yutaka Shoukaku, Norio Yoshida
Oscillations Of Hyperbolic Systems With Functional Arguments, Yutaka Shoukaku, Norio Yoshida
Applications and Applied Mathematics: An International Journal (AAM)
Hyperbolic systems with functional arguments are studied, and sufficient conditions are obtained for every solution of boundary value problems to be weakly oscillatory (that is, at least one of its components is oscillatory) in a cylindrical domain. Robin-type boundary condition is considered. The approach used is to reduce the multi-dimensional oscillation problems to one-dimensional oscillation problems by using some integral means of solutions.
Global Stability Results And Well Posedness Of An Si Age-Structured Epidemic Model With Vertical Transmission, M. El-Doma
Applications and Applied Mathematics: An International Journal (AAM)
An SI age-structured epidemic model for a vertically as well as horizontally transmitted disease is investigated when the fertility and mortality rates depend on age and the force of infection of proportionate mixing assumption type. We prove the well posedness of the model as well as the global stability for endemic equilibriums.
Remarks On The Stability Of Some Size-Structured Population Models I: Changes In Vital Rates Due To Population Only, Mohammed El-Doma
Remarks On The Stability Of Some Size-Structured Population Models I: Changes In Vital Rates Due To Population Only, Mohammed El-Doma
Applications and Applied Mathematics: An International Journal (AAM)
We consider a size-structured population model that has been studied in Calsina et al. (2003). We propose a different approach that provides direct stability results, and we correct a stability result given therein. In addition, we obtain global stability results that have not been given in Calsina et al. (2003).
A Discrete Time Counterpart Of The Black-Scholes Bond Replication Portfolio, Andrzej Korzeniowski
A Discrete Time Counterpart Of The Black-Scholes Bond Replication Portfolio, Andrzej Korzeniowski
Applications and Applied Mathematics: An International Journal (AAM)
We construct a discrete time self-financing portfolio comprised of call options short and stock shares long which is riskless and grows at a fixed rate of return. It is also shown that when shorting periods tend to zero then so devised portfolio turns into the Black-Scholes bond replication. Unlike in standard approach the analysis presented here requires neither Ito Calculus nor solving the Heat Equation for option pricing.
Interval - Mtype Oscillation Criteria For Half - Linear Pde With Damping, Robert Marik
Interval - Mtype Oscillation Criteria For Half - Linear Pde With Damping, Robert Marik
Applications and Applied Mathematics: An International Journal (AAM)
Using the Riccati substitution we derive new sufficient conditions which ensure that the half-linear partial differential equation with p-Laplacian and damping in the form of Equation (E) in the paper is oscillatory. These criteria, called interval criteria in theory of ODE's, allow to eliminate “bad parts” of the potential function c(x) from our considerations. Some of the results are new even in the case when (E) becomes linear ordinary differential equation.
Analysis Of An Sirs Age-Structured Epidemic Model With Vaccination And Vertical Transmission Of Disease, Mohammed El-Doma
Analysis Of An Sirs Age-Structured Epidemic Model With Vaccination And Vertical Transmission Of Disease, Mohammed El-Doma
Applications and Applied Mathematics: An International Journal (AAM)
An SIRS age-structured epidemic model for a vertically as well as horizontally transmitted disease under vaccination is investigated when the fertility, mortality and removal rates depend on age and the force of infection of proportionate mixing assumption type, and vaccination wanes over time. We prove the existence and uniqueness of solution to the model equations, and show that solutions of the model equations depend continuously on the initial age-distributions. Furthermore, we determine the steady states and obtain an explicitly computable threshold condition, in terms of the demographic and epidemiological parameters of the model; we then study the stability of the …