【摘 要】
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In this paper,we proposed an innovation diffusion model with three compart-ments 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 exist
【机 构】
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Department of Applied Sciences,Shaheed Bhagat Singh State University,Ferozepur,Punjab 152004,India;D
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In this paper,we proposed an innovation diffusion model with three compart-ments 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) RA.It is investigated that the adopter free steady-state is stable if RA ＜ 1.By considering τ-(the adoption experience of the adopters)as the bifurcation parameter,we have been able to obtain the critical value of T responsible 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.
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