Abstract
We consider a mathematical model motivated by the studies of coral broadcast spawning in spatial dimensions two and three. We establish the local and global well-posedness of regular solutions for the model. We also prove that the total mass of the egg (sperm) density asymptotically approaches a strictly positive constant, provided that the efficiency of the absorbing reaction is strong enough.
Original language | English |
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Pages (from-to) | 723-755 |
Number of pages | 33 |
Journal | SIAM Journal on Mathematical Analysis |
Volume | 49 |
Issue number | 2 |
DOIs | |
State | Published - 2017 |
Keywords
- Chemotaxis
- Fertilization
- Global well-posedness
- Reaction terms