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.
Bibliographical noteFunding Information:
The work of the second author was supported by NRF-2014R1A2A1A11051161 and NRF-20151009350. The work of the third author was supported by the Chung-Ang University Research Scholarship Grants in 2014. The authors express sincere gratitude to the anonymous referees for their helpful remarks.
© 2017 Society for Industrial and Applied Mathematics.
All Science Journal Classification (ASJC) codes
- Computational Mathematics
- Applied Mathematics