Stability Analysis of Competition Model of iOS and Android

Abstract

iOS and Android are among the most used phone operating systems nowadays, and their existence and individual performance will heavily affect each other in the short and long term. In order to dominate the market or to engage in a healthy competition where both populations (iOS and Android) can coexist without harming one another, both populations must be aware of one another's performance and respond to it appropriately. Hence, this study aims to analyse the stability of the previous model competition between iOS and Android, which used the Lotka-Volterra model. The steady-state stability was analysed using the Jacobian matrix, and its phase portraits were plotted using the online tool. Besides that, parameter sensitivity analysis was carried out by varying different values for parameters presented in the equations to observe how the differences in parameters affected the dynamics of the relationship, which directly exhibits the effect of individual population performance and how it affects longevity and survival of the other populations in the system. In conclusion, this study has given us a better understanding of the dynamics of competition between iOS and Android in the current market.