کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6371981 1624017 2015 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Bifurcations in a discrete time model composed of Beverton-Holt function and Ricker function
موضوعات مرتبط
علوم زیستی و بیوفناوری علوم کشاورزی و بیولوژیک علوم کشاورزی و بیولوژیک (عمومی)
پیش نمایش صفحه اول مقاله
Bifurcations in a discrete time model composed of Beverton-Holt function and Ricker function
چکیده انگلیسی

We provide rigorous analysis for a discrete-time model composed of the Ricker function and Beverton-Holt function. This model was proposed by Lewis and Li [Bull. Math. Biol. 74 (2012) 2383-2402] in the study of a population in which reproduction occurs at a discrete instant of time whereas death and competition take place continuously during the season. We show analytically that there exists a period-doubling bifurcation curve in the model. The bifurcation curve divides the parameter space into the region of stability and the region of instability. We demonstrate through numerical bifurcation diagrams that the regions of periodic cycles are intermixed with the regions of chaos. We also study the global stability of the model.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical Biosciences - Volume 263, May 2015, Pages 161-168
نویسندگان
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