Scientiae Mathematicae Japonicae
Online ISSN : 1346-0447
EXPONENTIAL ATTRACTORS FOR SELF-REGULATING HOMEOSTASIS MODEL ON A SPHERE
Maya KageyamaAtsushi Yagi
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2019 年 82 巻 2 号 p. 139-154

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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.
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© 2019 International Society for Mathematical Sciences
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