Fuzzy delay predator-prey system: existence theorem and oscillation property of solution

This paper discusses the existence of solution for a fuzzy delay predator-prey system. First, we prove the existence theorem of at least one solution of fuzzy predator-prey system where the initial condition is also described by a fuzzy number on E2 space. The results are obtained by the fixed point principles. We also determine the necessary and sufficient conditions for oscillation of solutions for the system. Finally, some examples are given to explain the existence of the solution and oscillation property.