کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4497990 1318960 2009 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Effects of a disease affecting a predator on the dynamics of a predator–prey system
موضوعات مرتبط
علوم زیستی و بیوفناوری علوم کشاورزی و بیولوژیک علوم کشاورزی و بیولوژیک (عمومی)
پیش نمایش صفحه اول مقاله
Effects of a disease affecting a predator on the dynamics of a predator–prey system
چکیده انگلیسی

We study the effects of a disease affecting a predator on the dynamics of a predator–prey system. We couple an SIRS model applied to the predator population, to a Lotka–Volterra model. The SIRS model describes the spread of the disease in a predator population subdivided into susceptible, infected and removed individuals. The Lotka–Volterra model describes the predator–prey interactions. We consider two time scales, a fast one for the disease and a comparatively slow one for predator–prey interactions and for predator mortality. We use the classical “aggregation method” in order to obtain a reduced equivalent model. We show that there are two possible asymptotic behaviors: either the predator population dies out and the prey tends to its carrying capacity, or the predator and prey coexist. In this latter case, the predator population tends either to a “disease-free” or to a “disease-endemic” state. Moreover, the total predator density in the disease-endemic state is greater than the predator density in the “disease-free” equilibrium (DFE).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Theoretical Biology - Volume 258, Issue 3, 7 June 2009, Pages 344–351
نویسندگان
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