کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8876893 | 1623772 | 2018 | 50 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Bifurcation of a delayed Gause predator-prey model with Michaelis-Menten type harvesting
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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: Bifurcation of a delayed Gause predator-prey model with Michaelis-Menten type harvesting Bifurcation of a delayed Gause predator-prey model with Michaelis-Menten type harvesting](/preview/png/8876893.png)
چکیده انگلیسی
In this paper, a Gause predator-prey model with gestation delay and Michaelis-Menten type harvesting of prey is proposed and analyzed by considering Holling type III functional response. We first consider the local stability of the interior equilibrium by investigating the corresponding characteristic equation. In succession, we derive some sufficient conditions on the occurrence of the stability switches of the positive steady state by taking the gestation delay as a bifurcation parameter. It is shown that the delay can induce instability and small amplitude oscillations of population densities via Hopf bifurcations. Furthermore, the stability and direction of the Hopf bifurcations are determined by employing the center manifold argument. Finally, computer simulations are performed to illustrate our analytical findings, and the biological implications of our analytical findings are also discussed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Theoretical Biology - Volume 438, 7 February 2018, Pages 116-132
Journal: Journal of Theoretical Biology - Volume 438, 7 February 2018, Pages 116-132
نویسندگان
Wei Liu, Yaolin Jiang,