کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
468165 | 698191 | 2013 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Dynamics of a diffusive predator–prey model with modified Leslie–Gower and Holling-type III schemes
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
The diffusive predator–prey system with modified Leslie–Gower and Holling-type III schemes is considered here. Firstly, stability analysis of the equilibrium for a reduced ODE system is discussed. Secondly, we obtain that the system is permanent. Thirdly, sufficient conditions for the global asymptotical stability of the unique positive equilibrium of the system are derived by using the method of Lyapunov function. Finally, we establish the existence and nonexistence of nonconstant positive steady states of this reaction–diffusion system, which indicates the effect of large diffusivity.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 65, Issue 11, July 2013, Pages 1727–1737
Journal: Computers & Mathematics with Applications - Volume 65, Issue 11, July 2013, Pages 1727–1737
نویسندگان
Wensheng Yang, Yongqing Li,