Analysis of a Class of Predation-Predation Model Dynamics with Random Perturbations

Abstract

In this paper, we study a class of predation–prey biological models with random perturbation. Firstly, the existence and uniqueness of systematic solutions can be proven according to Lipschitz conditions, and then we prove that the systematic solution exists globally. Moreover, the article discusses the long-term dynamical behavior of the model, which studies the stationary distribution and gradual properties of the system. Next, we use two different methods to give the conditions of population extinction. From what has been discussed above, we can safely draw the conclusion that our results are reasonable by using numerical simulation.

Keywords

• random perturbation
• Lipschitz conditions
• stationary distribution
• gradual properties
• population extinction
• numerical simulation