A new competition model combining the Lotka-Volterra model and the Bass model in pharmacological market competition

The diffusion of products that compete in the marketplace is a strategic issue for market analysts. In this paper, we introduce two models that are essentially extensions of the class of the Lotka-Volterra competition models that have a consolidated history in the literature. The need to recover an excellent competition framework that was ap- plied in innumerable disciplines, from biology to physics and so on, has essentially motivated this extension. The principal and appealing feature in these models is that they offer a definition of residual market that is more general with respect to the existing competition models available in literature, allowing that competing products contribute with different weights to perceived residual markets.