کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5760436 1623988 2017 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A series of population models for Hyphantria cunea with delay and seasonality
موضوعات مرتبط
علوم زیستی و بیوفناوری علوم کشاورزی و بیولوژیک علوم کشاورزی و بیولوژیک (عمومی)
پیش نمایش صفحه اول مقاله
A series of population models for Hyphantria cunea with delay and seasonality
چکیده انگلیسی
In this paper, we establish and study a basic stage-structured model for the population of Hyphantria cunea, a delay differential equation model and a model incorporating the resource and seasonality. By introducing the population reproduction number R0, we show that R0 acts as a threshold parameter for the existence and stability of equilibria. The trivial equilibria of the above models are all globally asymptotically stable when R0<1; the basic model and the delay-differential model have a unique positive equilibrium respectively, and they are both locally asymptotically stable when R0>1; the model with periodic season is uniformly persistent and admits a positive periodic solution if R0>1. Numerical simulations are carried out to illustrate the theoretical results. In addition, we consider the effect of temperature and season on the population of Hyphantria cunea.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical Biosciences - Volume 292, October 2017, Pages 57-66
نویسندگان
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