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Theory and Modern Applications

Figure 1 | Advances in Difference Equations

Figure 1

From: Predator–prey pattern formation driven by population diffusion based on Moore neighborhood structure

Figure 1

Various self-organized patterns induced by Turing instability under different a values, (a) approximately homogeneous pattern, (b) cold spot pattern, (c) cold spot-stripe pattern, (d) stripe pattern, (e) hot spot-stripe pattern, (f) hot spot pattern. The other parameter values are given as \(e_{1} = 0.3\), \(e_{2} = 0.2\), \(b = 0.1781\), \(\delta = 30\), \(h = 6\), \(\tau = 0.2\), \(n = 100\), \(t = 10{,}000\)

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