Nonnegativity and positiveness of solutions to mass action reaction–diffusion systems
✍ Scribed by Maya Mincheva; David Siegel
- Publisher
- Springer
- Year
- 2007
- Tongue
- English
- Weight
- 170 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0259-9791
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
General criteria which either preclude time-periodic dissipative structure solutions or imply asymptotically steady solutions are derived for generic systems of reaction-diffusion equations ~ct[at = DtV2c~ + Qt(c) subject to boundary conditions of practical interest, where the enumerator index i run
In this paper, necessary and suficient conditions are derived for the existence of temporally periodic "dissipative structure" solutions in cases of weak diffusion with the reaction rate terms dominant in a generic system of reaction--diffusion equations hi/at = Di V2 ci + Qi(c), where the enumerato
This paper is concerned with positive steady-state solutions of a coupled reaction-diffusion system which models the coexistence problem of two competing species in ecology. The main purpose of the paper is to determine the set 1 of natural growth rate \(\left(r_{1}, r_{2}\right)\) of the two compet
## Communicated by M. Renardy The steady-state problem of the non-linear reaction-diffusion system is considered. The existence of positive steady-solutions is established by using a fixed point theorem in ordered Banach space. The uniqueness of ordered positive steady-state solutions and an appl