RT Journal Article
T1 A meshless numerical method for a system with intraspecific and interspecific competition
A1 Aquino, M.
A1 Negreanu Pruna, Mihaela
A1 Vargas, A.M.
AB 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.
PB Elsevier
SN 0955-7997
YR 2022
FD 2022-09-30
LK https://hdl.handle.net/20.500.14352/72739
UL https://hdl.handle.net/20.500.14352/72739
LA eng
NO CRUE-CSIC (Acuerdos Transformativos 2022)
NO Ministerio de Ciencia e Innovación (MICINN)
DS Docta Complutense
RD 10 abr 2025