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Applied Mathematics (AM) is an international journal dedicated to the latest advancements in applied mathematics. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of applied mathema…
Jayeeta Chattopadhyay, Muktish Acharyya
We are studying the motion of a random walker in generalised d-dimensional continuum with unit step length (up to 10 dimensions) and its projected one dimensional motion numerically. The motion of a random walker in lattice or continuum is well studied in sta…
Benjamin Oyediran Oyelami
Cancer is a major public health problem worldwide and finding a total cure or eradication of the disease has been the expectations of medical researchers and medical practitioners in the recent times. In this paper, invasion of normal cells by carcinogens is…
M. S. Ismail, K. S. Al-Basyoni
The aim of this paper is to derive a numerical scheme for Troesch’s problem and to overcome the difficulty which faces the existing numerical methods when considering the Troesch’s problem with large values of λ. A logarithmic finite difference method is deri…
Yujiang Liu, Chunmei Zeng, Youquan Luo
A mathematical model described the propagation of information including rumor and truth presented and its properties investigated. We explored exists of the equilibria, local stability and global asymptotical stability, and obtained the propagation threshold…
Askar Akaev
In this article we derive a general differential equation that describes long-term economic growth in terms of cyclical and trend components. Equation is based on the model of non-linear accelerator of induced investment. A scheme is proposed for obtaining ap…
Hengmin Lv, Lizhi Fei, Zhen Yuan, Fumin Zhang
This paper proposes a vector-borne plant disease model with discontinuous treatment strategies. Constructing Lyapunov function and applying non-smooth theory to analyze discontinuous differential equations, the basic reproductive number R 0 is proved, which d…
Young Sik Kim
The purpose of this paper is to investigate the behavior of a Wiener integral along the curve C of the scale factor ρ > 0 for the Wiener integral ∫ C 0 [ 0, T ] F ( ρx )d m ( x ) about the function defined on the Wiener space C 0 [ 0, T ] , where θ ( t , u )…
Raquel Salazar Moreno, Oscar Zerecero Salazar
Mexican producers were supported by the Government from 1993-2013 through the PROCAMPO (support program, direct subsidy from the federal government), in order to keep the prices stable. The tool used to analyze the basic products price behavior was Artificial…
Lifang Wang, Ke Wu, Jie Yang
In this paper, we construct two sets of vertex operators S + and S ? from a direct sum of two sets of Heisenberg algebras. Then by calculating the vacuum expectation value of some products of vertex operators, we get Macdonald function in special variables x…
Mohamed Z. Mohamed, Tarig M. Elzaki
The aim of this paper is to discuss application of Laplace Decomposition Method with Adomian Decomposition in time-space Fractional Nonlinear Fractional Differential Equations. The approximate solutions result from Laplace Decomposition Method and Adomian dec…
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Applied Mathematics (AM) is an international journal dedicated to the latest advancements in applied mathematics. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of applied mathema… All articles are open access under a CC BY 4.0 licence, with authors retaining copyright.
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