A meshless numerical method for a system with intraspecific and interspecific competition

Impacto

Downloads

Downloads per month over past year

Aquino, M. and Negreanu Pruna, Mihaela and Vargas, A.M. (2022) A meshless numerical method for a system with intraspecific and interspecific competition. Engineering Analysis with Boundary Elements, 145 . pp. 242-257. ISSN 0955-7997

[thumbnail of 1-s2.0-S0955799722003022-main.pdf]
Preview
PDF
Creative Commons Attribution.

10MB

Official URL: https://doi.org/10.1016/j.enganabound.2022.09.005



Abstract

In this paper we study a novel mathematical model with intraspecific and interspecific competition between two species consisting of a non-linear parabolic–ODE–parabolic system. It describes the evolution of two populations in competition for a resource, one of which is subject to chemotaxis. We analyze the local stability of the constant equilibrium solutions and we obtain the periodic behavior of the solution for certain data of the problem. For this purpose, we apply the meshless numerical method of Generalized Finite Differences (GFDM) and we prove the conditional convergence of the discrete solution to the analytical one. The conditional convergence of the numerical method is demonstrated and, thought its implementation, we obtain numerical solutions whose asymptotic behavior agrees with the analytically one expected. We give several numerical examples on the applications of this meshless method over regularly and irregularly distributed nodes to illustrate its potential.


Item Type:Article
Additional Information:

CRUE-CSIC (Acuerdos Transformativos 2022)

Uncontrolled Keywords:Chemotaxis, Numerical methods, Asymptotic behavior, Competition
Subjects:Sciences > Mathematics > Mathematical analysis
ID Code:75787
Deposited On:28 Nov 2022 09:56
Last Modified:28 Nov 2022 10:00

Origin of downloads

Repository Staff Only: item control page