Controlling chaotic dynamics of a delayed Hassell–Varley type predator–prey model with non-linear harvesting efforts in prey by using imprecise biological parameters

Abstract

In this article, we have studied the dynamical behaviors of a delayed predator–prey model with non-linear harvesting effort using imprecise parameters. A method has been proposed for dealing with these imprecise parameters using the parametric form of the interval numbers. The proposed predator–prey model represents the Hassell–Varley predation and Michaelis–Menten prey harvest. We have studied the feasibility of various equilibrium points and their stability. The study reveals that the delay model exhibits stable limit cycle fluctuations due to variation in the delay parameter. Numerical simulations are performed to illustrate all analytical results.

Keywords

• Predator–prey model
• Imprecise parameters
• Interval number
• Time delay
• Hopf bifurcation