Open AccessDIFFUSION INDUCED SHIFT OF BIFURCATION POINT IN A MANGROVE ECOSYSTEM FOOD‐CHAIN MODEL WITH HARVESTING
Author(s) -
MUKHOPADHYAY B.,
BHATTACHARYYA R.
Publication year - 2009
Publication title -
natural resource modeling
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.28
H-Index - 32
eISSN - 1939-7445
pISSN - 0890-8575
DOI - 10.1111/j.1939-7445.2009.00043.x
Subject(s) - context (archaeology) , mangrove , food chain , hopf bifurcation , bifurcation , mathematics , supercritical fluid , social ecological model , ecosystem , detritus , environmental science , statistical physics , control theory (sociology) , ecology , physics , computer science , thermodynamics , biology , nonlinear system , paleontology , control (management) , quantum mechanics , artificial intelligence
The present paper deals with a detritus‐based food‐chain model within a mangrove ecosystem. The top predator (mainly fish) is assumed to have a commercial value and undergoes harvesting. Stability and bifurcation behavior of the model is studied and a threshold harvest rate is obtained. Next we introduce environmental nonhomogenity into the model equation. The resulting reaction diffusion system is investigated, and the criteria for supercritical Hopf bifurcation is obtained using the method of Lyapunov first coefficient. A comparison of the critical harvest rates under the homogeneous and the nonhomogeneous context is performed both analytically and numerically.