The search session has expired. Please query the service again.
We construct a stochastic model of
bacteriophage parasitism of a host bacteria that accounts for
demographic stochasticity of host and parasite and allows for
multiple bacteriophage adsorption to host. We analyze the associated
deterministic model, identifying the basic reproductive number for
phage proliferation, showing that host and phage persist when it
exceeds unity, and establishing that the distribution of adsorbed
phage on a host is binomial with slowly evolving mean. Not
surprisingly,...
Simple epidemiological models with information dependent vaccination functions can
generate sustained oscillations via Hopf bifurcation of the endemic state. The onset of
these oscillations depend on the shape of the vaccination function. A “global” approach
is used to characterize the instability condition and identify classes of functions
that always lead to stability/instability. The analysis allows the identification of an
analytically determined “threshold vaccination function” having...
A growing body of literature testifies to the importance of quantitative reasoning skills
in the 21st-century biology curriculum, and to the learning benefits associated with
active pedagogies. The process of modeling a biological system provides an approach that
integrates mathematical skills and higher-order thinking with existing course content
knowledge. We describe a general strategy for teaching model-building in an introductory
biology course,...
Currently displaying 1 –
6 of
6