کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
839484 1470474 2015 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A necessary and sufficient condition for global asymptotic stability of time-varying Lotka–Volterra predator–prey systems
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
A necessary and sufficient condition for global asymptotic stability of time-varying Lotka–Volterra predator–prey systems
چکیده انگلیسی

The purpose of this paper is to present a necessary and sufficient condition which guarantees that an interior equilibrium of a certain predator–prey system is globally asymptotically stable. This ecological system is a model of Lotka–Volterra type whose prey population receives time-variation of the environment. We assume that the time-varying coefficient is weakly integrally positive and has a weaker property than uniformly continuous. Our necessary and sufficient condition is expressed by an improper double integral on the time-varying coefficient. Our work is inspired by the study of the stability theory for damped linear oscillators.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 127, November 2015, Pages 128–142
نویسندگان
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