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Abstract: In this paper, we propose a new non-local population model of logistic typeequation on a bounded Lipschitz domain in the whole Euclidean space. This modelpreserves the L^2 norm, which is called mass, of the solution on the domain. Weshow that this model has the global existence, stability and asymptoticbehavior at time infinity.



Author: Li Ma, Cheng Liang

Source: https://arxiv.org/



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