Stochastic Predator-Prey System Subject to Lévy Jumps

Figure 1

The red line and the black line represent and , respectively. The initial value is ,  ,  , and  . In (a), is permanent and is extinct; in (b), both of and are extinct. In (c), is permanent and is extinct; in (d), both of and are extinct.

(a) ,  ;  , 

(b) ,  ;  ,  

(c) ,  ;  ,  

(d) ,  ;  ,