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.

journal_name

Math Biosci

journal_title

Mathematical biosciences

authors

Chakrabarti CG,Ghosh K

doi

10.1016/j.mbs.2013.07.016

subject

Has Abstract

pub_date

2013-10-01 00:00:00

pages

278-81

issue

2

eissn

0025-5564

issn

1879-3134

pii

S0025-5564(13)00180-6

journal_volume

245

pub_type

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