Deadline for manuscript submissions: 31 December 2025
Special Issue Editors
Prof. Appanah Rao Appadu Website E-Mail: Rao.Appadu@mandela.ac.za
Guest Editor
Nelson Mandela University, South Africa
Interests: numerical analysis, computational fluid dynamics, mathematical biology, numerical optimization, mathematical physics, dynamical systems, mathematical modeling
Dr. Hagos Gidey Website E-Mail: hagos@aims.ac.za
Guest Editor
Botswana International University of Science and Technology, Botswana
Interests: numerical analysis, mathematical biology, mathematical physics, dynamical system
Special Issue Information
Patterns should be understood as a complex organization of structure or behaviour in both space and time. A number of theories have been put forward with the goal of revealing the principles of pattern formation, but few of them are as universal as the theory of reaction-diffusion systems, which was first proposed by Alan Turing.
The nodes of complex networks are represented by globally asymptotically stable dynamical systems when the coupling is absent. They may lose stability under a parameter change in the coupling functions in the sense that the stable network equilibrium dynamics change to an oscillatory mode. Such change in network dynamics under parameter variation is related to a Hopf bifurcation.
This research topic will present research results in pattern formation and bifurcation analysis in Biology. Papers on theoretical background and numerical aspects are welcome. The list of potential topics is given below:
1. Bifurcation theory of differential equations and applications.
2. Hopf bifurcation, Turing instability, and spatiotemporal dynamics of differential equations.
3. Turing instability in predator-prey models, coral reef formation, and other applications in biology.
4. Fractional and stochastic partial differential equations modelling pattern formation.
5. Numerical methods to simulate pattern formation and bifurcation analysis.
Keywords:
Published Papers
Prof. Dr. Ji-Huan He
Soochow University, China
Excellence in Research for Australia (ERA Journal ID: 41584)
Elektronische Zeitschriftenbibliothek (EDB-Number: 2424167-2)
Eurasian Scientific Journal Index
Scilit Database (Switzerland)
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