0 The remaining model parameters are those in Table 3.1 and 3.2.

0 The remaining model parameters are those in Table 3.1 and 3.2.

adult death rate \ia assumes the values 0.04, 0.27, 0.5, and 0.73 used in the experiment. The numerical values of the predicted equilibria and 2-cycles at these values of ¬°ia appear in Table 3.3.

We can graphically view the data obtained from the bifurcation experiment in three-dimensional state-space plots and in time-series plots of the three life-cycle stage components. We can visually compare the experimental data with the model predicted attractors by plotting both in the same graph. Figure 3.6 shows state-space plots of data (with initial transients removed) from the five experimental treatments for both strains and model attractors. Equilibria appear as points and 2-cycles appear as two points in these graphs (see Table 3.3). The invariant loop attractor appears as a close curve. Figure 3.7 shows time-series plots of each life-cycle stage component for all treatments.

For the SS strain the clusters of data for the predicted equilibrium cases (fia = 0.04 and /ia = 0.73, Fig. 3.6) are clearly different from the two separated clusters of data in the predicted 2-cycle cases (/xfl = 0.27 and Ha = 0.50, Fig. 3.6). In each case the data cluster near the model

SS Strain

Ha = 0.96

RR Strain

FIGURE 3.6 I Data from the bifurcation experiment are shown as open circles. Data Eire from weeks 18 through 24 of the experiment. The first 16 weeks after the A-stage death-rate manipulations commenced have been removed as transients. The solid circles represent the LPA model-predicted attractors.

SS Strain P-stage

SS Strain P-stage

12 16 20 24 28 32 36 Week

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