کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
838881 | 908373 | 2007 | 17 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Discrete-time analogues of predator–prey models with monotonic or nonmonotonic functional responses Discrete-time analogues of predator–prey models with monotonic or nonmonotonic functional responses](/preview/png/838881.png)
Discrete-time analogues of predator–prey models with monotonic and nonmonotonic functional responses are introduced, respectively. The discrete-time analogues are considered to be numerical discretizations of the continuous-time models and we study their dynamical characteristics. It is shown that the discrete-time analogues preserve the periodicity of the continuous-time models with monotonic functional responses. Moreover, it is the first time that multiplicity of periodic solutions are studied when modeled with nonmonotonic functional responses . Unlike other types of functional responses, nonmonotone functional response declines at high prey densities. Thus the existing arguments for obtaining bounds of solutions to the operator equation Lx=λNxLx=λNx are inapplicable to our case and some new arguments are employed for the first time.
Journal: Nonlinear Analysis: Real World Applications - Volume 8, Issue 4, September 2007, Pages 1079–1095