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Global existence of classical solutions to a system modeling propagation of urban crime with quadratic logistic damping

Le, Minh
arXiv (All) · Papers
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analysis-of-pdes
We are concerned with the following partial differential equations arising from urban crime modeling: \begin{equation} \label{main} \begin{cases} u_t = Δu - χ\nabla \cdot \left( u \dfrac{\nabla v}{v} \right) - uv + B_1 + ru - μu^2, \\[4pt] v_t = Δv - v + uv + B_2, \end{cases} \end{equation}
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