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Theory and Modern Applications

Figure 4 | Advances in Difference Equations

Figure 4

From: Analysis of a predator-prey model with Lévy jumps

Figure 4

Solutions of system ( 1.1 ) for \(\pmb{x_{0}=2.5}\) , \(\pmb{y_{0}=2.2}\) , \(\pmb{a_{11}(t)=0.81}\) , \(\pmb{a_{12}(t)=a_{22}(t)=0.45+0.2\sin(t)}\) , \(\pmb{a_{13}(t)=0.06}\) , \(\pmb{b_{1}(t)=0.1}\) , \(\pmb{b_{2}(t)=0.2}\) , \(\pmb{b_{3}(t)=1}\) , \(\pmb{\sigma_{1}(t)=1.2}\) , \(\pmb{\sigma_{2}(t)=0.8}\) , \(\pmb{a_{21}(t)=0.21}\) , \(\pmb{a_{23}(t)=0.1876}\) , \(\pmb{\lambda (\mathbb{Y})=1}\) , and the step size \(\pmb{\Delta t=0.01}\) , \(\pmb{h_{1}(t,u)=0.2406}\) , \(\pmb{h_{2}(t,u)=\mathrm{e}-1}\) .

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