Back to Search
Start Over
Global dynamics in sea lice model with stage structure.
- Source :
-
Nonlinear Analysis: Real World Applications . Dec2018, Vol. 44, p283-304. 22p. - Publication Year :
- 2018
-
Abstract
- Sea lice infection is one of the major threats in the marine fishery, especially for farmed salmon. In this paper, we propose a mathematical model for the growth of sea lice with a three-stage structure: non-infectious immature, infectious immature and adults where the level of non-infectious immature development depends on the size of the adult population. We first describe the nonlinear dynamics by a system of partial differential equations, then, by mathematical techniques and an appropriate change of variables transform it into a system of delay differential equations with constant delay. We address the system threshold dynamics in the established model with respect to the adult reproduction number R s , including the global stability of the trivial steady state when R s < 1 , persistence and global attractivity of the unique positive steady state when R s > 1 . Numerical simulations are provided to confirm the theoretical results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14681218
- Volume :
- 44
- Database :
- Academic Search Index
- Journal :
- Nonlinear Analysis: Real World Applications
- Publication Type :
- Academic Journal
- Accession number :
- 130601057
- Full Text :
- https://doi.org/10.1016/j.nonrwa.2018.05.007