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Theory and Modern Applications

Figure 2 | Advances in Difference Equations

Figure 2

From: Optimal harvesting control and dynamics of two-species stochastic model with delays

Figure 2

Simulation of the species \(\pmb{x_{1}(t)}\) , \(\pmb{x_{2}(t)}\) in two habitants. Some paraments are taken: \(r_{1}=0.5\), \(r_{2}=0.05\), \(E_{1}=0.4\), \(E_{2}=0.05\), \(b_{1}=0.5\), \(b_{2}=0.6\), \(d_{1}=0.1\), \(d_{2}=0.01\), \(\alpha_{1}=0.4\), \(\alpha_{2}=0.3\), \(\sigma_{11}=0.02\), \(\sigma_{12}=0.01\), \(\sigma_{21}=0.02\), \(\sigma _{22}=0.02\), \(\xi_{1}(\theta)=0.3+0.03\sin\theta\), \(\xi_{2}(\theta)=0.1+0.05\cos \theta, \theta\in[-2,0]\). (a) \(D_{1}=D_{2}\equiv0\); (b) \(D_{1}=0.4, D_{2}=0.3\).

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