Author(s): Bodnar M, Piotrowska MJ, Fory U
Abstract Share this page
Abstract In this paper we study the delayed Gompertz model, as a typical model of tumor growth, with a term describing external interference that can reflect a treatment, e.g. chemotherapy. We mainly consider two types of delayed models, the one with the delay introduced in the per capita growth rate (we call it the single delayed model) and the other with the delay introduced in the net growth rate (the double delayed model). We focus on stability and possible stability switches with increasing delay for the positive steady state. Moreover, we study a Hopf bifurcation, including stability of arising periodic solutions for a constant treatment. The analytical results are extended by numerical simulations for a pharmacokinetic treatment function.
This article was published in Math Biosci Eng
and referenced in Arts and Social Sciences Journal
- Ranjani Kulawardhana
The role of elevation, relative sea level history, and land cover conversions in determining carbon distributions in Spartinaalternifloradominated salt marshes in Galveston, Texas
PPT Version | PDF Version