کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7221938 1470385 2018 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global dynamics in sea lice model with stage structure
ترجمه فارسی عنوان
پویایی جهانی در مدل یخ های دریایی با ساختار مرحله
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
چکیده انگلیسی
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 Rs, including the global stability of the trivial steady state when Rs<1, persistence and global attractivity of the unique positive steady state when Rs>1. Numerical simulations are provided to confirm the theoretical results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 44, December 2018, Pages 283-304
نویسندگان
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