کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4627755 1631811 2014 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Dynamics of the deterministic and stochastic SIQS epidemic model with non-linear incidence
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Dynamics of the deterministic and stochastic SIQS epidemic model with non-linear incidence
چکیده انگلیسی

The deterministic and stochastic SIQS models with non-linear incidence are introduced. For deterministic model, the basic reproductive rate R0R0 is derived. Moreover, if R0⩽1R0⩽1, the disease-free equilibrium is globally asymptotically stable and if R0>1R0>1, there exists a unique endemic equilibrium which is globally asymptotically stable. For stochastic model, sufficient condition for extinction of the disease that is regardless of the value of R0R0 is presented. In addition, if the intensities of the white noises are sufficiently small and R0>1R0>1, then there exists a unique stationary distribution to stochastic model. Numerical simulations are also carried out to confirm the analytical results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 243, 15 September 2014, Pages 546–558
نویسندگان
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