کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9471043 1320059 2005 30 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Mathematical analysis of an age-structured population model with space-limited recruitment
موضوعات مرتبط
علوم زیستی و بیوفناوری علوم کشاورزی و بیولوژیک علوم کشاورزی و بیولوژیک (عمومی)
پیش نمایش صفحه اول مقاله
Mathematical analysis of an age-structured population model with space-limited recruitment
چکیده انگلیسی
In this paper, we investigate structured population model of marine invertebrate whose life stage is composed of sessile adults and pelagic larvae, such as barnacles contained in a local habitat. First we formulate the basic model as an Cauchy problem on a Banach space to discuss the existence and uniqueness of non-negative solution. Next we define the basic reproduction number R0 to formulate the invasion condition under which the larvae can successfully settle down in the completely vacant habitat. Subsequently we examine existence and stability of steady states. We show that the trivial steady state is globally asymptotically stable if R0 ⩽ 1, whereas it is unstable if R0 > 1. Furthermore, we show that a positive (non-trivial) steady state uniquely exists if R0 > 1 and it is locally asymptotically stable as far as ∣R0 − 1∣ is small enough.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical Biosciences - Volume 198, Issue 1, November 2005, Pages 27-56
نویسندگان
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