Population models with singular equilibrium

Details Population models with singular equilibrium Population models with singular equilibrium

2006-11-28

arxiv.org/abs/q-bio/0611091v1

Biology

Quantitative Biology

Quantitative Methods

34 pages, 11 figures; submitted to Mathematical Bioscience

Scientific paper

A class of models of biological population and communities with a singular equilibrium at the origin is analyzed; it is shown that these models can possess a dynamical regime of deterministic extinction, which is crucially important from the biological standpoint. This regime corresponds to the presence of a family of homoclinics to the origin, so-called elliptic sector. The complete analysis of possible topological structures in a neighborhood of the origin, as well as asymptotics to orbits tending to this point, is given. An algorithmic approach to analyze system behavior with parameter changes is presented. The developed methods and algorithm are applied to existing mathematical models of biological systems. In particular, we analyze a model of anticancer treatment with oncolytic viruses, a parasite-host interaction model, and a model of Chagas' disease.

Affiliated with

Also associated with

No associations

Rating

Population models with singular equilibrium does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Population models with singular equilibrium, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Population models with singular equilibrium will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-350961