A non-local population model of logistic type equation
Analysis of PDEs
2009-10-13 v1 Dynamical Systems
Abstract
In this paper, we propose a new non-local population model of logistic type equation on a bounded Lipschitz domain in the whole Euclidean space. This model preserves the L^2 norm, which is called mass, of the solution on the domain. We show that this model has the global existence, stability and asymptotic behavior at time infinity.
Keywords
Cite
@article{arxiv.0910.1893,
title = {A non-local population model of logistic type equation},
author = {Li Ma and Cheng Liang},
journal= {arXiv preprint arXiv:0910.1893},
year = {2009}
}
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11 pages