کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7375016 | 1480068 | 2018 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Stability in distribution of a stochastic predator-prey system with S-type distributed time delays
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
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چکیده انگلیسی
This paper concerns the dynamics of a stochastic predator-prey Lotka-Volterra system with S-type distributed time delays. Sufficient conditions for the stability in distribution of the solutions (SDS) to the system are obtained. The results show that the dynamic scenarios of the SDS are completely characterized by two parameters δ1>δ2, among which δ1 is just related to the environmental noise, while δ2 is closely related to both time delays and environmental noises: if δ2>0, then the distributions of prey-predator converge weakly to a unique ergodic invariant distribution (UEID); if δ1>0>δ2, then the predator goes to extinction, while the distributions of prey converge weakly to a UEID; if 0>δ1, then both the predator and prey go to extinction.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 505, 1 September 2018, Pages 919-930
Journal: Physica A: Statistical Mechanics and its Applications - Volume 505, 1 September 2018, Pages 919-930
نویسندگان
Sheng Wang, Guixin Hu, Tengda Wei, Linshan Wang,