AN IMPROVED MARKETING MODEL INCLUDING PURCHASE AND REPEATING FROM EPIDEMOLOGY

초록

We develop a new marketing model that incorporates referral effects, purchase behavior, and repeated actions inspired by infection processes in epidemiology. The equilibria of the system are derived explicitly, and their stability is analyzed. Numerical computations are then carried out to quantitatively examine the time evolution of the system. The results obtained under various initial conditions are further analyzed and interpreted from a marketing perspective.

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