Somathilake, L.W. and Wedagedera, J.R. (2012) On the Stability of a Mathematical Model for Coral Growth in a Tank. British Journal of Mathematics and Computer Science, 2, 255-280.
http://dx.doi.org/10.9734/BJMCS/2012/1387

has been cited by the following article:

• TITLE: Stationary Solutions of a Mathematical Model for Formation of Coral Patterns

  AUTHORS: Lekam Watte Somathilake, Janak R. Wedagedera

  KEYWORDS: Reaction-Diffusion Equations, Stationary Solutions, Priori Estimates, Topological Degree Theory

  JOURNAL NAME: Applied Mathematics, Vol.6 No.6, June 10, 2015

  ABSTRACT: A reaction-diffusion type mathematical model for growth of corals in a tank is considered. In this paper, we study stationary problem of the model subject to the homogeneous Neumann boundary conditions. We derive some existence results of the non-constant solutions of the stationary problem based on Priori estimations and Topological Degree theory. The existence of non-constant stationary solutions implies the existence of spatially variant time invariant solutions for the model.