کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
759516 896481 2012 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Dynamic complexities of predator–prey system in a pulsed chemostat
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Dynamic complexities of predator–prey system in a pulsed chemostat
چکیده انگلیسی

In this paper, we study a food chain model with Holling III and Monod type functional response under periodic pulsed conditions, which contains with predator, prey and periodically pulsed substrate. We investigate the subsystem with substrate and prey and study the stability of the boundary periodic solution. By use of standard techniques of bifurcation theory, we prove that above this threshold there are periodic oscillations in prey and predator. Furthermore, by comparing bifurcation diagrams with different bifurcation parameters, we can see that the system shows two kinds of bifurcations, whose are period-doubling and period-halving.


► Different types of functional responses are considered in the food chain chemostat model.
► In addition, variable yield and pulsed input are included in the model, which are more reasonable.
► Using standard techniques of bifurcation theory, we get a threshold and above which periodic oscillations will exist.
► Numerical simulations are carried out to illustrate our theoretical results.
► By comparing bifurcation diagrams, we can see that the system shows two kinds of bifurcations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 17, Issue 6, June 2012, Pages 2489–2500
نویسندگان
, ,