Advances in Continuous and Discrete Models
Scope & Guideline
Connecting Theoretical Insights with Practical Applications
Introduction
Aims and Scopes
- Mathematical Modelling and Analysis:
The journal emphasizes the development and analysis of mathematical models that describe complex systems, particularly in the fields of biology, ecology, and epidemiology. This includes both continuous and discrete models. - Stochastic Dynamics:
A significant focus on stochastic models, particularly in relation to epidemiological studies, is evident. The journal explores the dynamics of systems influenced by random processes, contributing to understanding uncertainty in model predictions. - Numerical Methods and Algorithms:
The publication regularly features advancements in numerical methods and computational algorithms, facilitating practical applications of theoretical models. This includes techniques for solving differential equations, optimization problems, and other mathematical challenges. - Data Science Applications:
There is a consistent integration of data science methodologies, including machine learning and statistical analysis, to enhance model accuracy and applicability in various domains such as environmental science and public health. - Control Theory:
Research on optimal control strategies for dynamical systems is a core area, with applications in managing and predicting the behavior of various systems, especially in public health and environmental contexts.
Trending and Emerging
- Epidemiological Modeling:
A marked increase in research related to epidemiological modeling, especially concerning infectious diseases like COVID-19, showcases a growing interest in understanding disease dynamics and intervention strategies. - Integration of Artificial Intelligence and Machine Learning:
There is a rising trend in the application of AI and machine learning techniques within mathematical models, particularly for data-driven analysis and real-time predictions in various fields. - Fractional Calculus and Differential Equations:
Research involving fractional calculus has gained traction, indicating a trend towards models that capture memory effects and non-local phenomena, which are often more realistic than traditional integer-order models. - Environmental and Ecological Modeling:
Recent publications reflect an increasing focus on environmental safety and ecological dynamics, highlighting the importance of mathematical modeling in addressing contemporary environmental challenges. - Complex Systems and Chaos Theory:
An emerging interest in the study of complex systems and chaos theory is evident, as researchers seek to understand and predict the behavior of systems characterized by intricate interactions and non-linearities.
Declining or Waning
- Traditional Mathematical Theory Without Application:
There appears to be a decreasing emphasis on purely theoretical mathematical concepts that lack direct application to real-world problems. The journal's shift towards application-driven research is evident. - Basic Linear Models:
Research focusing on basic linear models has diminished, likely replaced by more complex and realistic models that incorporate non-linear dynamics and stochastic elements. - Single-Domain Focus:
There is a noticeable reduction in studies that focus exclusively on a single field or application area. The trend has moved towards interdisciplinary approaches that combine insights from various domains.
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