کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
837853 908350 2011 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stability analysis of a population model with piecewise constant arguments
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Stability analysis of a population model with piecewise constant arguments
چکیده انگلیسی

In this paper, we study the behavior of positive solutions of differential equation equation(A)dxdt=x(t){r(1−αx(t)−β0x([t])−β1x([t−1]))+γ1x([t])+γ2x([t−1])} where the parameters r,α,β0,β1,γ1r,α,β0,β1,γ1 and γ2γ2 are positive real numbers and [t][t] denotes the integer part of t∈[0,∞)t∈[0,∞). We considered the discrete solution of the Eq. (A) to show the global asymptotic stability of this equation. We obtained that the global behavior of the solution of the population model represented by (A) depends on the conditions of the coefficients. In addition, we give a detailed description and conditions of semicycle and damped oscillation of discrete solutions of Eq. (A).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 12, Issue 3, June 2011, Pages 1532–1545
نویسندگان
, ,