کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4626146 1631783 2015 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The effect of state dependent delay and harvesting on a stage-structured predator–prey model
ترجمه فارسی عنوان
تأثیر تاخیر وابسته به دولت و برداشت بر روی یک مدل شکارچی مبتنی بر مرحله
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

We propose and analyze a stage-structured predator–prey model in which the time from birth to maturity is directly related to the number of individuals present. Individuals mature more quickly when there are fewer of them around. The state dependent time delay is taken to be an increasing differentiable bounded function. In this research, we study the dynamics of our model analytically. We present results on positivity and boundedness of all populations. Criteria for the existence of all equilibria and uniqueness of a positive equilibrium are given. In order to observe the effect of state-dependent maturation delay, local stability analysis around all equilibria of the proposed model is discussed due to variation of maturation delay. Also, global stability of trivial and the boundary equilibria is investigated, using Liapunov functional and LaSalle invariant principle. To investigate the effect of state-dependent maturation delay and the harvesting effort of all species we carried out numerical simulations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 271, 15 November 2015, Pages 142–153
نویسندگان
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