Title :
Model studies on cross-diffusion in competing species
Author :
Raychaudhuri, S. ; Sinha, D.K. ; Chattopadhya, J.
Author_Institution :
Dept. of Appl. Math., Calcutta Univ., India
Abstract :
The present paper deals with the problem of a reaction diffusion (R-D) two species Lotka-Volterra (L-V) competitive system. It has been observed that cross-diffusions (constant coefficients) are necessary to maintain spatial pattern (Patchiness) in this system. By introducing time varying cross-diffusivity the authors have found that cross-diffusive instability is less likely to occur in this system with time varying cross-diffusivity than those with constant cross-diffusivity
Keywords :
biodiffusion; ecology; physiological models; competing species; constant cross-diffusivity; cross-diffusion; cross-diffusive instability; pattern-forming instability; reaction diffusion two species Lotka-Volterra competitive system; time varying cross-diffusivity; Biological systems; Embryo; Equations; Mathematical model; Mathematics; Matrices; Pattern formation; Stability; Time varying systems;
Conference_Titel :
Engineering in Medicine and Biology Society, 1995 and 14th Conference of the Biomedical Engineering Society of India. An International Meeting, Proceedings of the First Regional Conference., IEEE
Conference_Location :
New Delhi
Print_ISBN :
0-7803-2711-X
DOI :
10.1109/RCEMBS.1995.511697