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Figure 3 | Boundary Value Problems

Figure 3

From: Cross-diffusion-driven Turing instability and weakly nonlinear analysis of Turing patterns in a uni-directional consumer-resource system

Figure 3

Snapshots of contour picture of spatial distribution of the species u (left) and species v (right). Figure 3 depicts the pattern formation of the two species when the cross-diffusion coefficient b is greater than its critical value \(b^{c}\). The parameters of system (1.3) are chosen as \(r_{1}=0.6\), \(r_{2}=0.3\), \(c_{1}=c_{2}=0.1\), \(d_{1}=d_{2}=0.01\), \(\alpha_{12}=0.4\), \(\beta_{1}=0.02\), \(\alpha_{21}=0.3\), \(a_{1}=0.1\), \(a_{2}=0.2\), \(b=0.8\). The spatial domain is taken as \(L_{x}=9\pi\), \(L_{y}=8\pi\).

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