It is well known that reaction-diffusion systems can describe the interactions of different species in ecological systems. In this work, we propose a numerical method for solving a general two-species reaction-diffusion system. The method comprises a standard finite difference to discretize in time direction and Sinc collocation method in spatial direction. A series of numerical experiments demonstrate the accuracy and good performance of the algorithm. The biological significance of the numerical results was also discussed and presented in figures.
@article{38475,
title = {Numerical simulations of two components ecological models with sinc collocation method},
journal = {Boletim da Sociedade Paranaense de Matem\'atica},
volume = {38},
year = {2019},
doi = {10.5269/bspm.v38i5.38475},
language = {EN},
url = {http://dml.mathdoc.fr/item/38475}
}
Barati, Ali; Atabaigi, Ali. Numerical simulations of two components ecological models with sinc collocation method. Boletim da Sociedade Paranaense de Matemática, Tome 38 (2019) . doi : 10.5269/bspm.v38i5.38475. http://gdmltest.u-ga.fr/item/38475/