May 19, 2024
Kermanshah University of Technology
فارسی
Behzad Ghanbari
Academic rank:
Associate professor
Address:
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Education:
Ph.D in Applied Mathematics
Phone:
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Faculty:
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E-mail:
b.ghanbary [at] yahoo.com
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Title
Turing-Hopf bifurcation in a diffusive mussel-algae model with time-fractional-order derivative
Type
Article
Keywords
In this paper, we consider a time fractional-order derivative for a diffusive mussel–algae model. The existence of pattern formation was the subject of interest of many previous research works in the case of the diffusive mussel–algae model. Examples include the Turing instability, Hopf bifurcation, Turing-Hopf bifurcation, and others. The presence of the time–fractional–order derivative never been investigated in this model. Next to it ecological relevant, it can generate some important patterns. One of these patterns is produced by the presence of the Turing-Hopf bifurcation. Therefore, our main interest is to analyze the effect of the time fractional–order derivative on the spatiotemporal behavior of the solution, which never been achieved for the mussel-algae model. Besides, Turing–Hopf was studied exclusively on the classical reaction-diffusion systems, where it was also considered for the diffusive mussel-algae model. Thus, our paper puts the fist steps on proving the existence o
Researchers
Salih Djilali،
Behzad Ghanbari
، Soufiane Bentout، Abdelheq Mezouaghi
Abstract
Mussel–Algae model Self–diffusion Fractional–time–derivative Turing–Hopf bifurcation