کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1895728 1533677 2013 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stability and bifurcation of a stage-structured predator–prey model with both discrete and distributed delays
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک آماری و غیرخطی
پیش نمایش صفحه اول مقاله
Stability and bifurcation of a stage-structured predator–prey model with both discrete and distributed delays
چکیده انگلیسی

This paper concerns with a new delayed predator–prey model with stage structure on prey, in which the immature prey and the mature prey are preyed by predator and the delay is the length of the immature stage. Mathematical analysis of the model equations is given with regard to invariance of non-negativity, boundedness of solutions, permanence and global stability and nature of equilibria. Our work shows that the stage structure on the prey is one of the important factors that affect the extinction of the predator, and the predation on immature prey is a cause of periodic oscillation of population and can make the behaviors of the system more complex. The predation on the immature and mature prey brings both positive and negative effects on the permanence of the predator, if ignore the predation on immature prey in the system, the stage-structure on prey brings only negative effect on the permanence of the predator.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Chaos, Solitons & Fractals - Volume 46, January 2013, Pages 19–27
نویسندگان
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