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Theory and Modern Applications

Figure 1 | Advances in Difference Equations

Figure 1

From: Dynamics of a predator-prey model with impulsive biological control and unilaterally impulsive diffusion

Figure 1

Globally asymptotically stable \(\pmb{y_{2}(t)}\) extinction periodic solution with \(\pmb{y_{1}(0)=0.5}\) , \(\pmb{y_{2}(0)=0.5}\) , \(\pmb{d_{1}=0.6}\) , \(\pmb{a_{2}=0.1}\) , \(\pmb{b_{2}=0.2}\) , \(\pmb{\mu=0.4}\) , \(\pmb{l=0.25}\) , \(\pmb{\tau=1}\) , \(\pmb{D=0.15}\) . (a) Time series of \(y_{1}(t)\); (b) time series of \(y_{2}(t)\); (c) the phase portrait of a globally asymptotically stable periodic solution \((\widehat{y_{1}(t)},0)\) of System (3.2).

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