Convergence of NBICS-technologies makes relevant the exact definition of objective goals' spectrum, which pursued this self-organizing system of technologies. Authors consider the objective goals of this system of technologies as "semiotic attractors" and the tasks related to knowledge management at the NBICS-technologies niche as management of competition between the goals, which cause processes of creation, transmission, reception, usage and duplication of the new knowledge. Competitive interaction of these goals (and their symbolizations) were researched on the grounds of Lotka-Volterra model. The original interpretation of Lotka-Volterra model is posed on the basis of stated interconnection between the stages of complex systems' non-linear dynamics, this self-organization's information mechanisms and the semiotic results of information processes' stages. This synthesis of synergetic, cybernetic and semiotic paradigms is implemented on the grounds of A. N. Whitehead process philosophy. Semiotic interpretation of the model allowed determining the order of goals' conversion and defining the stages of dynamics at which this transformation by means of knowledge management is constructive.