Influence of impreciseness in designing tritrophic level complex food chain modeling in interval environment

Abstract

In this paper, we construct a tritrophic level food chain model considering the model parameters as fuzzy interval numbers. We check the positivity and boundedness of solutions of the model system and find out all the equilibrium points of the model system along with its existence criteria. We perform stability analysis at all equilibrium points of the model system and discuss in the imprecise environment. We also perform meticulous numerical simulations to study the dynamical behavior of the model system in detail. Finally, we incorporate different harvesting scenarios in the model system and deploy maximum sustainable yield (MSY) policies to determine optimum level of harvesting in the imprecise environment without putting any unnecessary extra risk on the species toward its possible extinction.

Bipolar complex fuzzy submodules

“…Smithson and Verkuilen [5] discussed the applications of FS in social sciences. Mahata et al [6] investigated two species prey-predator models and Mahata et al [7] devised complex food chain modeling in an interval environment. Rosenfeld [8] invented the theory of fuzzy group which is a mathematical notion that extends the idea of a traditional subgroup to deal with ambiguity or uncertainty in the membership of components.…”