کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6371801 | 1624000 | 2016 | 32 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the dynamics of a generalized predator-prey system with Z-type control
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کلمات کلیدی
موضوعات مرتبط
علوم زیستی و بیوفناوری
علوم کشاورزی و بیولوژیک
علوم کشاورزی و بیولوژیک (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On the dynamics of a generalized predator-prey system with Z-type control On the dynamics of a generalized predator-prey system with Z-type control](/preview/png/6371801.png)
چکیده انگلیسی
We apply the Z-control approach to a generalized predator-prey system and consider the specific case of indirect control of the prey population. We derive the associated Z-controlled model and investigate its properties from the point of view of the dynamical systems theory. The key role of the design parameter λ for the successful application of the method is stressed and related to specific dynamical properties of the Z-controlled model. Critical values of the design parameter are also found, delimiting the λ-range for the effectiveness of the Z-method. Analytical results are then numerically validated by the means of two ecological models: the classical Lotka-Volterra model and a model related to a case study of the wolf-wild boar dynamics in the Alta Murgia National Park. Investigations on these models also highlight how the Z-control method acts in respect to different dynamical regimes of the uncontrolled model.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical Biosciences - Volume 280, October 2016, Pages 10-23
Journal: Mathematical Biosciences - Volume 280, October 2016, Pages 10-23
نویسندگان
Deborah Lacitignola, Fasma Diele, Carmela Marangi, Antonello Provenzale,