Innovation Diffusion Model for the Marketing of a Product with Interactions and Delay in Adoption for Two Different Patches

This article is concerned with the diffusion of a sport in a region, and the innovation diffusion model comprising of population classes, viz. nonadopters class, information class and adopters class. A qualitative analysis is carried out to assess the global asymptotic stability of the interior equilibrium for null delay. It has also been proved that the parameter [Formula: see text] (age gaps among sportspersons) in the intra-specific competition between the new players and the senior players can even destabilize the otherwise globally stable interior equilibrium state and the coexistence of all the populations is possible through periodic solutions due to Hopf bifurcation. With the help of normal form theory and center manifold arguments, the stability of bifurcating periodic orbits is determined. Numerical simulations have been executed in support of the analytical findings.

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Innovation Diffusion Model for the Marketing of a Product with Interactions and Delay in Adoption for Two Different Patches

Cited by 2 publications

References 24 publications

Stability and optimal control of two products innovation diffusion system

Stability and optimal control of two products innovation diffusion system

Stability and Hopf Bifurcation Analysis of a Delayed Innovation Diffusion Model with Intra-Specific Competition

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