Modeling and simulating a startup ecosystem development with a delayed differential equation

In our work, we model the dynamics of a startup ecosystem through a delayed differential equation that considers the system growth’s driving factors. The work presents a theoretical and numerical analysis to study the equilibrium and the stability of the described time delay model. The former ensures the model’s desirable characteristic and the equilibrium solution’s local stability. The latter serves the purpose of studying global stability by varying the equation parameters. This study can devise helpful insights for policymakers, who take action to foster business incentives in their area of operation, and entrepreneurs, who can observe a quantitative assessment of an information spillover in a given startup ecosystem.

Duke Scholars

Author Alessio Brini Engineering Graduate and Professional Programs