An alternative formulation for a delayed logistic equation

  • Date: 12/05/2006
Lecturer(s):

Gail S.K. Wolkowicz (McMaster University)

Location: 

University of British Columbia

Topic: 

After a brief review of the history and dynamics of the classical
logistic and delayed logistic equation models, an alternative
expression for a delayed logistic equation is derived assuming that the
rate of change of the population depends on three components: growth,
death, and intraspecific competition, with the delay in the growth
component. In our formulation, we incorporate the delay in the growth
term in a manner consistent with the rate of instantaneous decline in
the population given by the model. A complete global analysis shows
that unlike the dynamics of the classical logistic delay differential
equation model,no sustained oscillations are possible. Instead, the
dynamics of this model are more reminiscent of the classical logistic
ordinary differential equations growth model, but with some important
differences. Implications for incorporating delays in population models
are considered.

Other Information: 

MITACS Math Biology Seminar 2006

Sponsor: 

pimsmitacs