Dynamical Behavior of a Stochastic Delayed One-Predator and Two-Mutualistic-Prey Model with Markovian Switching and Different Functional Responses

Figure 4

The subgraphs (a) and (b) denote the trajectory and frequency of the discrete Markov chain taking value in , respectively. and mean that the overall system (5) switches to subsystems (64) and (65) in step , respectively. The change of in (a) means the process of regime switching of system (5) between subsystems (64) and (65). And the frequency of in (b) shows the result of regime switching—the total number of steps of the overall system (5) switching to subsystem (64) or subsystem (65). This graph shows that under the control of the Markov chain the overall system (5) mostly switches to subsystem (64) in Case of Example 1.

(a)

(b)