کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4497990 | 1318960 | 2009 | 8 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Effects of a disease affecting a predator on the dynamics of a predator–prey system Effects of a disease affecting a predator on the dynamics of a predator–prey system](/preview/png/4497990.png)
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).
Journal: Journal of Theoretical Biology - Volume 258, Issue 3, 7 June 2009, Pages 344–351