Table 1. Some results for dynamics of infection with Δ = 0.
Parameters | Equilibrium | |||||
---|---|---|---|---|---|---|
N | b0 | γ | α | Dynamics | ||
250 | 0.1 | 0.1 | 0.2 | 0.1 | 240.371 | I0 = 1: two-point cycle 110.436, 339.564 |
250 | 0.1 | 0.1 | 0.205 | 0.1 | 240.799 | I0 = 1: four-point cycle above and below |
250 | 0.1 | 0.1 | 0.209 | 0.1 | 241.115 | I0 = 1: apparent chaos around |
250 | 0.5 | 0.1 | 0.1 | 0.1 | 227.639 |
I0 = 1: becomes unbounded. I0 = 226: converges to two-point cycle. |
250 | 0.115 | 0.1 | 0.1 | 0.1 | 203.375 | I0 = 1: overshoots , then decreases to |
350 | 0.1 | 0.1 | 0.1 | 0.1 | 290.839 | I0 = 1: overshoots , then decreases to |
1,000 | 0.1 | 0.1 | 0.1 | 0.1 | 900.000 | I0 = 1: damped oscillation to |
1,100 | 0.1 | 0.1 | 0.1 | 0.1 | 995.119 |
I0 = 1: It becomes unbounded I0 = 990: damped oscillation to |
10,000 | 0.05 | 0.08 | 0.0015 | 0.375 | 35.718 | I0 = 1: monotone convergence to |