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http://dx.doi.org/10.1016/S0022-5193(03)00140-1

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.