On the dynamics of innovators and imitators

After deriving a model describing the law of evolution of innovators and imitators the article focuses on their relationships under two different scenarios: prey-predator, in which innovators are regarded as preys, and competing species. Analytic results show that among the feasible equilibria the coexistence equilibrium is the only stable equilibrium under the fi�rst scenario. We also �find conditions on the parameters allowing local stability of the coexistence equilibrium in the second scenario. Such conditions imply the existence of an inverse-U shaped relationship between innovation and imitation.