The article develops a model laying a foundation for the idea that the relationships between competitors in the knowledge diffusion market can be described by a Lotka–Volterra system. The model can accommodate both the scenario of prey–predator and that of competition between innovators and imitators. Analytic results and numerical simulations show that a stable coexistence equilibrium is feasible under both scenarios. The work also discusses the conditions under which these results are achievable.
Cerqueti, R., Tramontana, F., Ventura, M., On the coexistence of innovators and imitators, <<TECHNOLOGICAL FORECASTING AND SOCIAL CHANGE>>, 2015; 90 (Gennaio): 487-496. [doi:10.1016/j.techfore.2014.03.011] [http://hdl.handle.net/10807/67375]
On the coexistence of innovators and imitators
Tramontana, Fabio;
2015
Abstract
The article develops a model laying a foundation for the idea that the relationships between competitors in the knowledge diffusion market can be described by a Lotka–Volterra system. The model can accommodate both the scenario of prey–predator and that of competition between innovators and imitators. Analytic results and numerical simulations show that a stable coexistence equilibrium is feasible under both scenarios. The work also discusses the conditions under which these results are achievable.
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