کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4630971 | 1340613 | 2011 | 13 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Controlling predator–prey discrete dynamics utilizing a threshold policy with hysteresis Controlling predator–prey discrete dynamics utilizing a threshold policy with hysteresis](/preview/png/4630971.png)
This paper introduces a threshold policy with hysteresis (TPH) for the control of the logistic one-species model, the Lotka–Volterra and Rosenzweig–MacArthur two species density-dependent predator–prey models. A nonstandard scheme is used for the discretization of the models since it results in preservation of the qualitative characteristics of the continuous-time models. Two theorems that establish the global stability of the discrete logistic model subject to the threshold policy (TP) and the TPH are proved. The proposed policy (TPH) is more realistic than a pure threshold policy (TP) proposed earlier in the literature and changes the dynamics of the system in such a way that a low amplitude bounded oscillation, far from the extinction region, is achieved. Furthermore, it can be designed by a suitable choice of so called virtual equilibrium points in a simple and intuitive manner.
Journal: Applied Mathematics and Computation - Volume 217, Issue 20, 15 June 2011, Pages 7874–7886