A non-local population model of logistic type equation

Details A non-local population model of logistic type equation A non-local population model of logistic type equation

2009-10-10

arxiv.org/abs/0910.1893v1

Mathematics

Analysis of PDEs

11 pages

Scientific paper

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.

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