کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4622773 1339505 2006 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Evolution of predator–prey systems described by a Lotka–Volterra equation under random environment
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Evolution of predator–prey systems described by a Lotka–Volterra equation under random environment
چکیده انگلیسی

In this paper, we consider the evolution of a system composed of two predator–prey deterministic systems described by Lotka–Volterra equations in random environment. It is proved that under the influence of telegraph noise, all positive trajectories of such a system always go out from any compact set of with probability one if two rest points of the two systems do not coincide. In case where they have the rest point in common, the trajectory either leaves from any compact set of or converges to the rest point. The escape of the trajectories from any compact set means that the system is neither permanent nor dissipative.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 323, Issue 2, 15 November 2006, Pages 938-957