Stability of equilibria in quantitative genetic models based on modified-gradient systems

Motivated by questions in biology, we investigate the stability of equilibria of the dynamical system $ \mathbf {x}^{\prime }=P(t)\nabla f(x) $ which arise as critical points of f, under the assumption that $ P(t) $ is positive semi-definite. It is shown that the condition $ \int ^{\infty }\lambda _...

Full description

Bibliographic Details
Main Authors: Benjamin J. Ridenhour, Jerry R. Ridenhour
Format: Article
Language:English
Published: Taylor & Francis Group 2018-01-01
Series:Journal of Biological Dynamics
Subjects:
Online Access:http://dx.doi.org/10.1080/17513758.2017.1400598