Research Article

Deterministic Sudden Changes and Stochastic Fluctuation Effects on Stability and Persistence Dynamics of Two-Predator One-Prey Model

Table 1

Description of the equilibrium points, positive equilibrium points’ conditions, and stability condition(s) to each case for the good situation.

The equilibrium pointsPositive equilibrium points’ conditionsThe dynamical behavior

The first case
No conditionsSaddle point
No conditionsGlobally stable
Globally stable
Globally stable
( ) Globally stable

The second case
No conditionsSaddle point
No conditionsGlobally stable
Globally stable
Globally stable
( ) Globally stable

The third case
No conditionsSaddle point
No conditionsGlobally stable
Globally stable
Globally stable
( )Globally stable