Mathematical Modelling of Dynamic Growth of an Infant Financial Market with the Introduction of Technical Awareness

This research explores the dynamic growth of an infant financial market through Mathematical Modelling, taking into account the influence of technical awareness. The study delves into how various factors, such as market participants’ awareness level, and impact the market evolution over time. By developing and analyzing a comprehensive mathematical framework, this research is targeted at enhancing our understanding of how technical awareness affects the growth trajectory of emerging financial market. The result contributes to both financial market theory and practical strategies for market development. The Mathematical Model was formulated based on system of ordinary differential equations to study the growth dynamics of an infant financial market with the introduction of technical awareness. The uniqueness and existence of the model was obtained using Derrick and Grossman theorem, the growth production number of the model was computed using the next generation matrix approach. The investors-free-equilibrium (IFE) state and Investors’ coexistence equilibrium (ICE) state was established. The local stability of the model was also analyzed and it is said to be stable at investor free equilibrium and unstable at the investor coexistence equilibrium. Finally, numerical simulation of the model was carried out and the result shows that an increase in technical investors leads to increase in actual investors and causes decline in quitting investors. That is to say, increase in technical awareness will increase investment rate and decreases quitting investors’ rate.