Theory and Modern Applications
Table 2 Global results for system (2)
From: Dynamics model analysis of bacteriophage infection of bacteria
Conditions | Result | |
|---|---|---|
1 | \(E_{0}\) is always an unstable point | |
2 | \(\beta <\frac{\omega }{r_{1}\overline{S}}\) | \(E_{1}\) is globally asymptotically stable |
3 | \(\beta >\frac{\omega }{r_{2}\overline{I}}\) | \(E_{2}\) is globally asymptotically stable |
4 | \(\beta >\frac{r_{2}-r_{1}}{M}\), \(\frac{\omega }{r_{1}\overline{S}}<\beta <\frac{\omega }{r_{2}\overline{I}}\) | \(E^{*}\) is globally asymptotically stable |