Abstract
This paper is devoted to studying a complete two-dimensional Daisyworld model
on a sphere. The Daisyworld model which has been originally introduced by Andrew Watson
and James Lovelock (1983) describes the process of planetary self-regulating homeostasis by a
biota and its environment. After formulating our two-dimensional model, we construct global
solutions, dynamical systems and exponential attractors. We also show some numerical results
suggesting pattern formation of stripe segregation.
