Manuscript Topics

Mathematical modeling and simulation of complex physical as well as abstract systems represents a field of study that holds significance in diverse domains, ranging from biology and ecology to economics and engineering. Mathematical modeling involves the creation of mathematical representations that capture the essential features and dynamics of complex systems. It provides a means to quantify, analyze, and gain insights into systems that might otherwise be too convoluted to comprehend intuitively. Ensuring the accuracy and reliability of mathematical models is a critical aspect of this field. Mathematical modeling and simulation find applications in interdisciplinary fields, such as epidemiology, climate science, finance, and transportation. This approach focuses on simulating individual agents' behavior within a larger system, often used in social sciences and ecology. It allows for a nuanced understanding of how local interactions contribute to global system dynamics. The rapid increase in computational power has revolutionized mathematical modeling and simulation. High-performance computing and parallel processing make it possible to simulate and analyze complex systems with an unprecedented level of detail and accuracy. In addition, mathematical modeling plays a crucial role in supporting decision-making processes, whether it involves crafting public policies, optimizing supply chains, or managing healthcare resources during a pandemic. Advances in sensor technology, data collection, and real-time data analysis have opened up new possibilities for modeling and simulating complex systems. This is particularly relevant in fields like smart cities, IoT, and autonomous systems.

Keywords:
• Mathematical modeling
• Complex system
• Numerical simulation
• Application to biology/ecology/economics/engineering/healthcare
• Modeling physical and scientific phenomena

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