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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…
Josephine Wairimu, Sallet Gauthier, Wandera Ogana
We formulate an SIS model describing transmission of highland malaria in Western Kenya. The host population is classified as children, age 1- 5 years and adults, above 5 years. The susceptibility and infectivity of an individual depend on age class and reside…
Beih S. El-Desouky, Nabela A. El-Bedwehy, Abdelfattah Mustafa, Fatma M. Abdel Menem
A modified approach via differential operator is given to derive a new family of generalized Stirling numbers of the first kind. This approach gives us an extension of the techniques given by El-Desouky [1] and Gould [2] . Some new combinatorial identities an…
Jing Xia, Suwen Zheng, Baohong Lv, Caihong Shan
This paper is devoted to the study of second-order Duffing equation with singularity at the origin, where tends to positive infinity as , and the primitive function as . By applying the phase-plane analysis methods and Poincaré-Bohl theorem, we obtain the exi…
Carmo Henrique Kamphorst, Patricia Rodrigues, Liliane Basso Barichello
A spectral method based on Hermite cubic splines expansions combined with a collocation scheme is used to develop a solution for the vector form integral S-model kinetic equation describing rarefied gas flows in cylindrical geometry. Some manipulations are ma…
Ye Zhao, Qian Xu
The present paper deals with results of explicit traveling wave solutions for some coupled BBM equations. By detailed computation and using the ( G '/ G )-expansion method, many traveling wave solutions are given. These traveling waves are in the form of hype…
Nan Yang, Dawei Zhang, Yanling Tian
In this paper, a simple mathematical model was proposed to answer such a question: what’s the relationship between the finger pressing position and the corresponding pitch for stringed instruments? Furthermore, we compared the theoretical results with measure…
Ying Shen, Chuancun Yin
In this note we study the optimal dividend problem for a company whose surplus process, in the absence of dividend payments, evolves as a generalized compound Poisson model in which the counting process is a generalized Poisson process. This model includes th…
Koichi Kobayashi, Ichiro Maruta, Kazunori Sakurama, Shun-ichi Azuma
A real-time pricing system of electricity is a system that charges different electricity prices for different hours of the day and for different days, and is effective for reducing the peak and flattening the load curve. In this paper, using a Markov decision…
Motohisa Osaka
Short-term memory allows individuals to recall stimuli, such as numbers or words, for several seconds to several minutes without rehearsal. Although the capacity of short-term memory is considered to be 7 ± 2 items, this can be increased through a process…
Li Yang
Under the travelling wave transformation, some nonlinear partial differential equations such as the Getmanou equation are transformed to ordinary differential equation. Then using trial equation method and combing complete discrimination system for polynomial…
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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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At least two independent reviewers evaluate the manuscript under single-blind review. Where revisions are required, authors respond point by point.
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Manuscripts must be original and not under consideration elsewhere. Submit in Microsoft Word or LaTeX with figures at 300 dpi minimum. Structure research articles as Abstract, Introduction, Methods, Results, Discussion, and References.
Use the journal's numbered (Vancouver) reference style. Cite sources consecutively in the order they appear, and ensure every reference is complete and retrievable.
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