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If the viral replication rate is fast enough, the populations show diverging oscillations away from the equilibrium (Figure 4b), i.e. the amplitude of the oscillations increases over time.
During these diverging oscillations, the minimum number of tumor cells declines over time.
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The system (1) has a unique nontrivial steady state (3) where (5) The system (1) has periodic solutions when (6) The solutions exhibit limit cycles as Ψ passes through 0: Ψ < 0 yields damped oscillations converging to the nontrivial steady state,, and Ψ > 0 yields unstable oscillations diverging away from the nontrivial steady state (where Ψ is sufficiently close to 0).
The tumor parameters yield perturbations of the normal cycles that result in limit cycles, which are either damped oscillations that converge to the nontrivial steady state or undamped oscillations that diverge away from the nontrivial steady state.
In this case, we observe oscillations that diverge away from the equilibrium if the viral replication rate β is sufficiently fast.
These species diverged during Pleistocene climatic oscillations about 1.8 Mya [ 41].
All trees show a close association between members of the Bovina subtribe, with all major lineages diverging very rapidly some 1 3 million years ago, which appears to be associated with climatic oscillations during the late Pleistocene [ 27, 28].
The medium is diverging.
Why this diverging picture?
Analysts offer diverging views.
Different yardsticks show diverging trends.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com