ANALYSIS OF COMPETITION BETWEEN TWO RETAILERS USING LOGISTIC PREY-PREDATOR MODEL WITH FUZZY INITIAL CONDITION

Abstract

The interaction of prey and predator species is a biological process with profound ecological implications that occurs all over the world. The dynamics of Prey-Predator is used for modelling competition in industry, finance and business etc. In this article, we employ a logistic Prey-Predator model to explain competition between the two retailers. While modelling such problem, collecting parameters and/or initial conditions may imprecise so, fuzzy theory gives more realistic depiction. We solve this nonlinear model taking initial condition fuzzy using Fuzzy Laplace transform technique and give closed form fuzzy solution. We also give the existence of fuzzy solution and condition for stability of the system. Lastly, a numerical illustration is solved and compared at core.