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Non-uniformly expanding dynamics: Stability from a probabilistic viewpoint
Modeling chemical reactions in rivers: A three component reaction
| 1. | Department of Applied Mathematics, University of Colorado at Boulder, Boulder, CO 80309-0524, United States |
| 2. | Department of Applied Mathematics, University of Colorado at Boulder, Campus Box 526, Boulder, CO 80309, United States |
First, we will establish some general results for reaction diffusion systems. In particular, we will illustrate a class of reaction diffusion systems whose solutions are bounded from below by zero. We will also provide a local existence result for this class of problems. Afterwards, we will focus on the dynamics of an equidiffusive three component reaction system. Specifically, we will provide conditions under which one could be guaranteed the existence of global solutions. We will also discuss the qualities of the $\omega$-limit set for this system.
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