Title :
Spatial pattern in a prey predator system: cross diffusional effect
Author :
Chattopadhyay, J. ; Tapaswi, P.K.
Author_Institution :
Embryology Res. Unit, Indian Stat. Inst., Calcutta, India
Abstract :
The present paper deals with the problem of a simple prey predator diffusive model. The main thrust of this article is to achieve spatial pattern (patchiness) in the presence of cross diffusion. We have investigated the global stability of the uniform steady state in two dimensional geometry by constructing a suitable Lyapunov function
Keywords :
Lyapunov methods; biocybernetics; biodiffusion; differential equations; ecology; stability; Lyapunov function; cross diffusional effect; global stability; patchiness; prey predator system; simple prey predator diffusive mode; spatial pattern; two dimensional geometry; uniform steady state; Biological system modeling; Boundary conditions; Embryo; Equations; Geometry; Mathematical model; Notice of Violation; Pattern formation; Stability analysis; Steady-state;
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.1995.532188
