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Theory and Modern Applications

Table 3 Interaction kernels used in the model

From: Mean-field optimal control in a multi-agent interaction model for prevention of maritime crime

Item

Meaning

Comment

\(K^{\mathrm{cp}}\)

effect of pirate ships on commercial ships

Lipschitz continuous

\(K^{\mathrm{pg}}\)

effect of guard ships on pirate ships

Lipschitz continuous

\(K^{\mathrm{pc}}\)

effect of commercial ships on pirate ships

Lipschitz continuous

\(K^{\mathrm{gg}}\)

effect of guard ships on guard ships

Lipschitz continuous