Affiliation:
1. Department of Natural Sciences and Mathematics Daugavpils University Parades street1 LATVIA
2. Institute of Mathematics and Computer science University of Latvia Rainis boulevard 29 LATVIA
Abstract
e consider the model of a four-dimensional gene regulatory network (GRN in short). This model consists of ordinary differential equations of a special kind, where the nonlinearity is represented by a sigmoidal function and the linear part is present also. The evolution of GRN is described by the solution vector X(t), depending on time. We describe the changes that the system undergoes if the entries of the regulatory matrix are perturbed in some way. The sensitive dependence of solutions on the initial data is revealed by the analysis using the Lyapunov exponents.
Publisher
World Scientific and Engineering Academy and Society (WSEAS)
Subject
Economics and Econometrics,Finance,Business and International Management
Cited by
8 articles.
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