کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5775550 1631740 2018 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Dynamic analysis of a hybrid bioeconomic plankton system with double time delays and stochastic fluctuations
ترجمه فارسی عنوان
تجزیه و تحلیل پویا از یک سیستم پلانکتون بی ثبات اقتصادی ترکیبی با تاخیر زمان دو و نوسانات تصادفی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی
In this paper, we establish a double delayed hybrid bioeconomic plankton system with stochastic fluctuations and commercial harvesting on zooplankton, where maturation delay for toxin producing phytoplankton and gestation delay for zooplankton are considered. Stochastic fluctuations are incorporated into the proposed system in form of Gaussian white noises to depict stochastic environmental factors in plankton system. For deterministic system without double time delays, existence of singularity induced bifurcation is studied due to variation of economic interest of commercial harvesting, and state feedback controllers are designed to eliminate singularity induced bifurcation. For deterministic system with double time delays, positivity and uniform persistence of solutions are studied, and some sufficient conditions associated with asymptotic stability of interior equilibrium are investigated. For stochastic system without double time delays, stochastic stability and existence of stochastic Hopf bifurcation are discussed based on singular boundary theory of diffusion process and invariant measure theory. For stochastic system with double time delays, existence and uniqueness of global positive solution are investigated, and asymptotic behaviors of the interior equilibrium are studied by constructing appropriate Lyapunov functions. Numerical simulations are carried out to validate theoretical analysis.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 316, 1 January 2018, Pages 115-137
نویسندگان
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