کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1896950 | 1044469 | 2009 | 16 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Punctuated evolution due to delayed carrying capacity Punctuated evolution due to delayed carrying capacity](/preview/png/1896950.png)
A new delay equation is introduced to describe the punctuated evolution of complex nonlinear systems. A detailed analytical and numerical investigation provides the classification of all possible types of solutions for the dynamics of a population in the four main regimes dominated respectively by: (i) gain and competition, (ii) gain and cooperation, (iii) loss and competition and (iv) loss and cooperation. Our delay equation may exhibit bistability in some parameter range, as well as a rich set of regimes, including monotonic decay to zero, smooth exponential growth, punctuated unlimited growth, punctuated growth or alternation to a stationary level, oscillatory approach to a stationary level, sustainable oscillations, finite-time singularities as well as finite-time death.
Journal: Physica D: Nonlinear Phenomena - Volume 238, Issue 17, 15 August 2009, Pages 1752–1767