Dynamics of an advertising competition model with sales promotion. (English) Zbl 1473.90078
Summary: In this paper, an advertising competition model with sales promotion is constructed and investigated. Conditions of the existence and stability of period-\(T\) solutions are obtained by means of the discrete map. Flip bifurcation is analyzed by using the center manifold theory and three sales promotion strategies are discussed. Example and numerical simulations are illustrated which agree well with our theoretical analysis.
MSC:
| 90B60 | Marketing, advertising |
| 34C60 | Qualitative investigation and simulation of ordinary differential equation models |
Keywords:
bifurcation; marketing; advertising competing model; sales promotion; flip bifurcation; periodic solutionReferences:
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