We consider generalized models on coral broadcast spawning phenomena involving diffusion, advection, chemotaxis, and reactions when egg and sperm densities are different. We prove the global-in-time existence of the regular solutions of the models as well as their temporal decays in two and three dimensions. We also show that the total masses of egg and sperm density have positive lower bounds as time tends to infinity in three dimensions.
|Number of pages||29|
|Journal||Discrete and Continuous Dynamical Systems- Series A|
|Publication status||Published - 2020|
Bibliographical noteFunding Information:
Acknowledgments. We sincerely thank anonymous referees for their valuable remarks and suggestions. M. Chae’s work is partially supported by NRF-2018R1A1A 3A04079376. Kyungkeun Kang’s work is partially supported by NRF-2017R1A2B 400648. Jihoon Lee’s work is partially supported by NRF-2016R1A2B3011647.
All Science Journal Classification (ASJC) codes
- Discrete Mathematics and Combinatorics
- Applied Mathematics