title: Dynamical entropy via entropy of non-random matrices: application to stability and complexity in modelling ecosystems.
abstract: In the present paper we have first introduced a measure of dynamical entropy of an ecosystem on the basis of the dynamical model of the system. The dynamical entropy which depends on the eigenvalues of the community matrix of the system leads to a consistent measure of complexity of the ecosystem to characterize the dynamical behaviours such as the stability, instability and periodicity around the stationary states of the system. We have illustrated the theory with some model ecosystems.
authors.affiliation: Department of Applied Mathematics, University of Calcutta, Kolkata 700009, India. Electronic address: cgc_math@rediffmail.com.
authors.forename: C G
authors.initials: CG
authors.lastname: Chakrabarti
authors.forename: Koyel
authors.initials: K
authors.lastname: Ghosh
mesh_terms: D019295:Computational Biology; D017753:Ecosystem; D016014:Linear Models; D055641:Mathematical Concepts; D008954:Models, Biological; D017711:Nonlinear Dynamics; D049490:Systems Biology
keywords: Community matrix; Complexity; Dynamical entropy; Model ecosystem; Stability