학술논문

Traveling Waves Solutions for a Belousov–Zhabotinsky System with Dispersal
Document Type
Conference
Source
2023 3rd International Conference on Smart Generation Computing, Communication and Networking (SMART GENCON) Smart Generation Computing, Communication and Networking (SMART GENCON), 2023 3rd International Conference on. :1-4 Dec, 2023
Subject
Bioengineering
Communication, Networking and Broadcast Technologies
Components, Circuits, Devices and Systems
Computing and Processing
Engineered Materials, Dielectrics and Plasmas
Engineering Profession
Fields, Waves and Electromagnetics
General Topics for Engineers
Nuclear Engineering
Photonics and Electrooptics
Power, Energy and Industry Applications
Robotics and Control Systems
Signal Processing and Analysis
Sufficient conditions
Computational modeling
Mathematical models
Belousov-Zhabotinskii model
solutions of traveling wave
upper-lower solutions
Language
Abstract
This article is devoted to studying the solutions having the form of traveling wave for a nonlocal dispersal equations in connection with Belousov–Zhabotinsky term, the main aim of which is to formulate the formation process of bromic acid. Firstly, with the help of two special functions called upper and lower solutions which are defined by two special functions, the sufficient condition, there is a solution having the form of traveling wave with monotonicity, is stated when the propagation velocity is satisfied with certain condition. Finally, the sufficient condition without traveling wave solutions is also established.