2009/10/10 by Li Ma, Liang Cheng, Ma, Li +2
Computer Science · Mathematics · #35J60 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #Nonlinear Partial Differential Equations #advanced mathematical theories #math.AP #math.DS #msc:35J60
paper · pdf · doi:10.48550/arxiv.0910.1893
11 pages
arxiv created 2009/10/10 · openalex publication_date 2009/10/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 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.