Publication: Analysis of advection-diffusion-reaction model for fish population movement with impulsive tagging: stability and traveling wave solution
Issued Date
2019-12-01
Resource Type
ISSN
16871847
16871839
16871839
Other identifier(s)
2-s2.0-85066477000
Rights
Mahidol University
Rights Holder(s)
SCOPUS
Bibliographic Citation
Advances in Difference Equations. Vol.2019, No.1 (2019)
Suggested Citation
Chontita Rattanakul, Yongwimon Lenbury, Jeerawan Suksamran Analysis of advection-diffusion-reaction model for fish population movement with impulsive tagging: stability and traveling wave solution. Advances in Difference Equations. Vol.2019, No.1 (2019). doi:10.1186/s13662-019-2153-x Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/51210
Research Projects
Organizational Units
Authors
Journal Issue
Thesis
Title
Analysis of advection-diffusion-reaction model for fish population movement with impulsive tagging: stability and traveling wave solution
Abstract
© 2019, The Author(s). So far, mobility in fish population has not been given sufficient attention, although movement and spatial heterogeneity can be an important dynamic feature that plays a critical role in their exploitation. Having a qualitative framework to describe and estimate movement and growth based on tagging data is necessary for efficient control and management of the fishing industry. Here, we construct an advection-diffusion-reaction model for the fish population structured to track the population densities of both the tagged fish and the tag-free fish, in which the impulsive tagging practice is incorporated, while continuous tagging is assumed to be done on off springs of trackable tagged fish, or on those in the same swarm as the trackable tagged fish. Using the traveling wave coordinate, we derive analytical expression for the solutions to the model system. We derive the explicit expression for the level of tagged fish which increases in a periodic impulsive fashion. Stability and phase plane analyses are also carried out to determine different behavior permitted by the model system.