| dc.creator | Trofimchuk, E. | |
| dc.creator | Trofimchuk, S. | |
| dc.date | 2005-10-07T15:20:17Z | |
| dc.date | 2005-10-07T15:20:17Z | |
| dc.date | 2005-05 | |
| dc.date.accessioned | 2017-03-07T14:32:31Z | |
| dc.date.available | 2017-03-07T14:32:31Z | |
| dc.identifier | Discrete and Continuous Dynamical Systems-Series B 5 (2): 461-468 | |
| dc.identifier | 1531-3492 | |
| dc.identifier | http://dspace.utalca.cl/handle/1950/1556 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/368888 | |
| dc.description | Trofimchuk, S. Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca, Chile. | |
| dc.description | We investigate global stability of the regulated logistic growth model (RLC) n'(t) = rn(t)(1-n(t-h)/K-cu(t)), u'(t) = -au(t)+bn(t-h). It was proposed by Gopalsamy and Weng [1, 2] and studied recently in [4, 5, 6, 9]. Compared with the previous results, our stability condition is of different kind and has the asymptotical form. Namely, we prove that for the fixed parameters K and mu = bcK/a (which determine the levels of steady states in the delayed logistic equation n'(t) rn(t)(1 - n(t - h)/K) and in RLG) and for every hr < root 2 the regulated logistic growth model is globally stable if we take the dissipation parameter a sufficiently large. On the other hand, studying the local stability of the positive steady state, we observe the improvement of stability for the small values of a: in this case, the inequality rh < pi(1 + mu)/2 guaranties such a stability | |
| dc.format | 5331 bytes | |
| dc.format | image/jpeg | |
| dc.language | en | |
| dc.publisher | American Institute of Mathematical Sciences | |
| dc.subject | Schwarz derivative | |
| dc.subject | global stability | |
| dc.subject | delay differential equations | |
| dc.subject | regulated logistic model | |
| dc.title | Global stability in a regulated logistic growth model | |
| dc.type | Artículos de revistas | |
