Recent Trends in Modelling, Bifurcation Analysis, and Control of Chaotic Systems in Bioeconomics
1University of Poonch Rawalakot, Rawalakot, Pakistan
2Mansoura University, Mansoura, Egypt
3Prince Sattam bin Abdulaziz University, Al-Kharj, Saudi Arabia
Recent Trends in Modelling, Bifurcation Analysis, and Control of Chaotic Systems in Bioeconomics
Description
Bioeconomics is the discipline originating from the synthesis of biology and economics. In other words, bioeconomics is the science determining the socioeconomic activity threshold for which a biological system can be effectively and efficiently utilised without destroying the conditions for its regeneration and therefore its sustainability. Economics and biology must be complementary to each other, especially when addressing environmental or ecological issues. Aggregate economic fluctuation could be related to environmental phenomena, and it is then plausible to suggest the common connection between economics and biology. Concepts like competition, equilibrium, and markets have applicability in both fields.
In various fields of economics and biology, a wide range of applications are concerned with nonlinear dynamical theory. The range of applications includes many topics in economics, such as bifurcations, catastrophes, trade cycles, urban pattern formation, economic chaos, economic growth, sexual division of labour and economic development, the role of stochastic noise upon socio-economic structures, values and family structure, and relationship between microscopic and macroscopic structures, and fast and slow socioeconomic processes. On the other hand, biological applications include models involving the spread of communicable diseases, predator-prey interactions, models related to competing species, biological networks, and neural systems. All these topics cannot be effectively examined by traditional analytical methods which are concerned with linearity, stability, and static equilibrium points. Nonlinear dynamical theory has changed traditional view of economists and biologists, showing how complicated behaviour may arise from simple rules. Chaotic systems are known to describe various types of intermittency, which occur whenever the behaviour of a system seems to switch back and forth between two (or more) qualitatively different behaviours even though all the control parameters are kept constant and no noise is present.
The main objective of this Special Issue is to provide an opportunity to study developments like novel mathematical modelling of bioeconomical systems, analytical insights into such models, stability analysis, bifurcation analysis, determination of chaotic behaviour, and implementation of chaos control methods to systems in bioeconomics. We invite authors and researchers to contribute their original research articles as well as review articles.
Potential topics include but are not limited to the following:
- Development and modification of modelling in bioeconomics
- Qualitative behaviour of models related to bioeconomics
- Bifurcation and complexity analysis of such models in bioeconomics
- Chaos and bifurcation control strategies for these models
- Discretisation and dynamics of discrete systems in bioeconomics