کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4637837 1631982 2017 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Modeling plant virus propagation with delays
ترجمه فارسی عنوان
مدل سازی انتشار ویروس گیاهان با تاخیر
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

Plants play a vital role in the everyday life of all organisms on earth. Sometimes, however, plants become infected with a virus. This can have a devastating effect on the ecosystem that depends on it. An insect–vector can cause the transmission of the virus from plant to plant. In this paper, a system of ordinary differential equations was first used to model the interaction between the insects and the plants. We found the equilibria of the model, and we analyzed the stability using the Reproductive number, derived by the next generation matrix. Afterwards, we introduced a delay to the model and a system of delay differential equations (DDE) was obtained. Analysis of the DDEs dynamics was performed including equilibria, stability, and bifurcations. Then, numerical solutions of the ODE and the DDE were compared and conclusions are given.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 309, 1 January 2017, Pages 611–621
نویسندگان
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