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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…
Muhammad Saqib, Muhammad Iqbal, Shahid Ali, Tariq Ismaeel, 1 1
In this paper, we establish two new iterative methods of order four and five by using modified homotopy perturbation technique. We also present the convergence analysis of these iterative methods. To assess the validity and performance of these iterative meth…
Takaaki Shirahata
Sim and Forger have proposed a mathematical model of circadian pacemaker neurons in the suprachiasmatic nucleus (SCN). This model, which has been formulated on the Hodgkin-Huxley mo-del, is described by a system of nonlinear ordinary differential equations. A…
Nita H. Shah, Bijal M. Yeolekar, Nehal J. Shukla
In this paper, we analyse population dynamics of liquor habit. Liquor free and Liquor endemic equilibrium are computed. The local and global stabilities of the proposed problem are established. The numerical simulation is given to validate the transmission of…
Kyongyob Min
The static properties of the lungs have been explained by energy-change considerations on the elasticity, but this article explains the elasticity of the lungs by entropy-change considerations. Entropy of the individual lobule was defined by application of st…
Gerardo Martínez-Guzmán, Mario Mauricio Bustillo-Díaz, Alejandro Rangel-Huerta, Gabriel Juárez-Díaz, Apolonio Ata-Pérez, Nicolás Quiroz-Hernández, Rogelio González-Velázquez, María Beatríz Bernabe-Loranca
Mortality projections in a population are based on the prior analysis of mortality in a region, hoever, there are populations where data are not available or not reflect its real mortality level, that is, the projections depend on hypothesis strength of previ…
Shichang Shen
In the paper, We discussed the matching uniqueness of graphs with degree sequence . The necessary and sufficient conditions for and its complement are matching unique are given.
Ahmad N. Al-Kenani, Anwar Alwardi, Omar A. Al-Attas
In this paper, we introduce a new type of graph energy called the non-common-neighborhood energy , , NCN-energy for some standard graphs is obtained and an upper bound for is found when G is a strongly regular graph. Also the relation between common neigh-bou…
Emad H. M. Zahran, Mostafa M. A. Khater
In this work, an extended Jacobian elliptic function expansion method is proposed for constructing the exact solutions of nonlinear evolution equations. The validity and reliability of the method are tested by its applications to Dynamical system in a new Dou…
Céline Longchamp, Olivier Caspar, Michel Jaboyedoff, Yury Podladchikov
Rock avalanches are catastrophic events involving important granular rock masses (>10 6 m 3 ) and traveling long distances. In exceptional cases, the runout can reach up to tens of kilometers. Even if they are highly destructive and uncontrollable events, the…
R. Malini Devi, O. M. Kirthiga, L. Rajendran
In this paper, an approximate analytical method to solve the non-linear differential equations in an immobilized enzyme film is presented. Analytical expressions for concentrations of substrate and product have been derived for all values of dimensionless par…
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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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