期刊文献+

DYNAMICAL BEHAVIOR OF AN INNOVATION DIFFUSION MODEL WITH INTRA-SPECIFIC COMPETITION BETWEEN COMPETING ADOPTERS 被引量:1

下载PDF
导出
摘要 In this paper,we proposed an innovation diffusion model with three compartments to investigate the diffusion of an innovation(product)in a particular region.The model exhibits two equilibria,namely,the adopter-free and an interior equilibrium.The existence and local stability of the adopter-free and interior equilibria are explored in terms of the effective Basic Influence Number(BIN)R_(A).It is investigated that the adopter free steady-state is stable if R_(A)<1.By consideringτ(the adoption experience of the adopters)as the bifurcation parameter,we have been able to obtain the critical value ofτresponsible for the periodic solutions due to Hopf bifurcation.The direction and stability analysis of bifurcating periodic solutions has been performed by using the arguments of normal form theory and the center manifold theorem.Exhaustive numerical simulations in the support of analytical results have been presented.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2022年第1期364-386,共23页 数学物理学报(B辑英文版)
  • 引文网络
  • 相关文献

参考文献2

二级参考文献17

  • 1于宇梅,王稳地.STABILITY OF INNOVATION DIFFUSION MODEL WITH NONLINEAR ACCEPTANCE[J].Acta Mathematica Scientia,2007,27(3):645-655. 被引量:5
  • 2Mahajan V, Muller E, Kerin R A. Introduction strategy for a new product with positive and negative word-of-mouth. Management Science, 1984, 30:1389-1404
  • 3Mahajan V, Muller E, Bass F. New product diffusion models in marketing: A review and directions for research. Journal of Marketing, 1990, 54:1-26
  • 4Mahajan V, Wind Y. Innovation Diffusion Models of New Product Acceptance. Mass: Bellinger Pub Co, Cambridge, 1986
  • 5Fergola P, Tenneriello C, Ma Z, Petrillo F. Delayed innovation diffusion processes with positive and negative word-of-mouth. Int J Diff Equa Appl, 2000, 1:131-147
  • 6Tenneriello C, Fergola P, Ma Z, Wang W. Stability of competitive innovation diffusion model. Ricerche di Matematica, 2002, 51:185-199
  • 7Yu Y, Wang W, Zhang Y. An innovation diffusion model for three competitive products. Computers and Mathematics with Applications, 2003, 46:1473-1481
  • 8Rogers E M. Diffusion of Innovations. 4-th ed. New York: The Free Press, 1995
  • 9Hirsch M W. System of differential equations that are competitive or cooperative. Ⅰ: Limit sets. SIAM J Math Anal, 1982, 13:167-179
  • 10Hirsch M W. System of differential equations that are competitive or cooperative. Ⅲ: Competing species. Nonlinearity, 1988, 1:51-71

共引文献4

同被引文献2

引证文献1

;
使用帮助 返回顶部