کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1888752 | 1533638 | 2016 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Complex dynamics of a discrete-time predator-prey system with Holling IV functional response
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک آماری و غیرخطی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Complex dynamics of a discrete-time predator-prey system with Holling IV functional response Complex dynamics of a discrete-time predator-prey system with Holling IV functional response](/preview/png/1888752.png)
چکیده انگلیسی
In this paper, a discrete-time predator-prey system with Holling-IV functional response is studied. We first classify the existence of the fixed points of the system, and further investigate their local stabilities. Then the local bifurcation theory for maps is applied to explore the variety of dynamics of the system. Sufficient conditions for the flip bifurcation and Neimark–Sacker bifurcation are provided. Numerical results demonstrate that the system may have more complex dynamical behaviors including multiple periodic orbits, quasi-periodic orbits and chaotic behavior. The maximum Lyapunov exponent and sensitivity analysis also confirm the chaotic dynamical behaviors of the system.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Chaos, Solitons & Fractals - Volume 87, June 2016, Pages 158–171
Journal: Chaos, Solitons & Fractals - Volume 87, June 2016, Pages 158–171
نویسندگان
Qianqian Cui, Qiang Zhang, Zhipeng Qiu, Zengyun Hu,