Report on the Lp Non-local Flow and its Application to Population Model

Authors

Liang Cheng, Department of Mathematical Sciences, Tsinghua University, Beijing 100084, ChinaFollow
Li Ma, Department of Mathematical Sciences, Tsinghua University, Beijing 100084, ChinaFollow

Document Type

Article

Abstract

In this paper, we propose a new non-local population model, which is of logistic type equation on a bounded Lipschitz domain in the whole Euclidean space. This model preserves the L2 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.

Recommended Citation

Cheng, Liang and Ma, Li, "Report on the Lp Non-local Flow and its Application to Population Model" (2009). ICEB 2009 Proceedings (Macau, SAR China). 141.
https://aisel.aisnet.org/iceb2009/141