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Finite Volume Method for a System of Continuity Equations Driven by Nonlocal Interactions

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Fig. 1.1 Test 1. Newtonian potentials W 1 (x) = W 2 (x) = 0.1|x|,K(x) = |x|, β = 0.3. with a single predator at the origin, and an uniform distribution of preys as initial data.
Fig. 1.2 Test 2. Newtonian potentials W 1 (x) = W 2 (x) = 0.1|x|, “fly-and-regroup” potential K (x) = 1 −(|x|+ 1)e −|x| , β = 0.3

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