Paper Info
Title
Numerical Simulations For The Predator-Prey Model On Surfaces With Lumped Mass Method
Abstract
The predator-prey model is powerful mathematical tool to describe the dynamics of biological systems and promote research on biological populations. In this paper, we present a lumped mass finite element method for solving the predator-prey models on surfaces. The main purpose of the proposed method is to overcome the difficulty of the positivity preservation of the solutions. Based on positivity preservation results, we investigate the stabilities of semi-discrete and fully discrete approximations. Besides, numerical simulations are considered to illustrate the feasibility of the numerical method by convergence tests. Two classical phenomena of the predator-prey model are simulated on three different implicit surfaces.
Year
DOI
Venue
2021
10.1007/s00366-019-00929-4
ENGINEERING WITH COMPUTERS
Keywords
DocType
Volume
Predator-prey model, Lumped mass method, Surface finite element method, Stability analysis, Positivity preservation
Journal
37
Issue
ISSN
Citations 
3
0177-0667
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Meng Zhang100.34
Xufeng Xiao212.38
Xinlong Feng305.07