Eco-social Model 3 for Management and Exploitation Areas for Benthic Resources (MAEBRs), Open Access Areas (OAAs), and sustainable scenario (SS).
D = demand, F = fishers, X = macroalgae, Y = herbivores, and p(λ) = characteristic polynomial. The community (Jacob-Levins) matrix with the semi-quantitative effect of j variable to i variable and the Hessian matrix are shown. The local stability measures of Routh-Hurwitz and Levins (Fn) criteria for MEABRs, OAAs and sustainable scenarios are also summarized. First criterion (1°C) describes stability condition of the system, the second criterion (2°C) determine asymptotic or oscillation condition. The Fn is defined by holistic sustainability .The assumptions included were changes in the self-dynamic (damped ‘-‘ [small circle] and/or enhanced ‘+’ [small arrow]) for fishers, macroalgae and herbivores.