2026-06-27T22:42:42Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/727392023-08-28T06:28:53Zcom_20.500.14352_14col_20.500.14352_15

Aquino, M. Negreanu Pruna, Mihaela Vargas, A.M. 2023-06-22T12:31:05Z 2023-06-22T12:31:05Z 2022-09-30 0955-7997 10.1016/j.enganabound.2022.09.005 https://hdl.handle.net/20.500.14352/72739 https://doi.org/10.1016/j.enganabound.2022.09.005 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. eng https://creativecommons.org/licenses/by/3.0/es/ open access Atribución 3.0 España A meshless numerical method for a system with intraspecific and interspecific competition journal article