کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4636844 1340728 2006 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global attractivity in an almost periodic multi-species nonlinear ecological model
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Global attractivity in an almost periodic multi-species nonlinear ecological model
چکیده انگلیسی
A nonlinear almost periodic predator-prey model with n-preys and m-predators is studied in this paper, which can be seen as the modification of the traditional multi-species Lotka-Volterra predator-prey model. For general nonautonomous case, by using the differential inequality theory, we obtain the sufficient conditions which guarantee the uniform persistence and nonpersistence of the system; After that, by constructing a suitable Lyapunov function, some sufficient conditions are obtained which ensure the global attractivity of the system. For almost periodic case, by constructing a suitable Lyapunov function, sufficient conditions which guarantee the existence of an unique globally attractive positive almost periodic solution of the system are obtained. Examples together with their numeric simulations show the feasibility of our main results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 180, Issue 1, 1 September 2006, Pages 376-392
نویسندگان
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