Research Article

Stability Analysis of a Population Model with Maturation Delay and Ricker Birth Function

Figure 3

The solution curves of (4) with and . Correspondingly, , , and . In (a), we choose , then , which is locally asymptotically stable. In (b), we choose , then which is unstable, and there is a periodic solution for (4). In (c), we choose , then , and chaos occurs for (4). In (d), we choose , then , which is locally asymptotically stable.
136707.fig.003a
(a)
136707.fig.003b
(b)
136707.fig.003c
(c)
136707.fig.003d
(d)