Simulation of Wave Solutions of a Mathematical Model Representing Communication Signals

The present trend in radio design calls for the use of frequencies above 40 GHz for short links carrying wide-band digital communication signals. In order to utilize the new frequency band efficiently, signal attenuation studies due to duststorms is needed urgently for desert areas. This paper presents a mathematical model which has been developed to predict the signal attenuation due to duststorm. The proposed model enables the convenient calculation of the signal path attenuation based on Mie solution of Maxwell's equations for the scattering of electromagnetic wave by dust particles. The predicted values from the proposed mathematical model are compared with the measured values observed in Saudi Arabia and Sudan and show relatively close agreement.

Download Full-text

Traveling Wave Solutions to a Mathematical Model of Fractional order (2+1)-Dimensional Breaking Soliton Equation

Fractals ◽

10.1142/s0218348x22401247 ◽

2021 ◽

Author(s):

Umair Ali ◽

Azhar Iqbal ◽

Ilyas Khan ◽

Kashif Kamran ◽

Shabbir Muhammad ◽

...

Keyword(s):

Mathematical Model ◽

Fractional Order ◽

Traveling Wave ◽

Traveling Wave Solutions ◽

Soliton Equation ◽

Wave Solutions

Download Full-text

Mathematical Model of Human Forearm Based Muscle Fiber Tissues’ Anisotropic Characteristics

The Open Biotechnology Journal ◽

10.2174/18740707016100100234 ◽

2016 ◽

Vol 10 (1) ◽

pp. 234-238 ◽

Cited By ~ 1

Author(s):

Yu-Ping Qin ◽

Shuang Zhang ◽

Yi-he Liu

Keyword(s):

Mathematical Model ◽

Muscle Fiber ◽

Communication Channel ◽

Human Muscle ◽

Transmission Mechanism ◽

Muscular Tissue ◽

Electrical Characteristics ◽

Galvanic Coupling ◽

Communication Signals ◽

Human Forearm

On the basis of human muscle fiber tissues' characteristics, it is first proposed to establish the analytical model of galvanic coupling intra-body communication channel. In this model, the parallel and the transverse electrical characteristics of muscular tissue are fully considered, and the model accurately presents the transmission mechanism of galvanic coupling intra-body communication signals in the channel.

Download Full-text

A Mathematical Model for the Propagation of an Animal Species on a Plain

Biomath Communications ◽

10.11145/bmc.2016.12.277 ◽

2017 ◽

Vol 3 (2) ◽

Author(s):

Joel Nimyel Ndam ◽

Stephen Dung

Keyword(s):

Mathematical Model ◽

Diffusion Coefficient ◽

Animal Species ◽

Travelling Wave ◽

Basins Of Attraction ◽

Travelling Wave Solutions ◽

Density Dependent ◽

Constant Diffusion Coefficient ◽

Wave Solutions ◽

Constant Diffusion

A mathematical model for the dynamics of an animal species propagating on a plain is constructed. Travelling wave solutions are then sought for two cases, the case with constant diffusion coefficient and that with density-dependent diffusion coefficient. The results show the existence of travelling wave solutions in both cases. The existence of travelling wave solutions for the two-dimensional model is important as it captures more realistically the physical interactions of species in a habitat. The minimum wave speeds as well as the basins of attraction were determined. The results also indicate the occurrence of a saddle-node bifurcation in the case with density-dependent diffusion coefficient. The basins of attraction in both cases are functions of the wave speed and is still a subject for further investigation.

Download Full-text