University of Victoria
Victoria, British Columbia, Canada
A population growth model with nonlinear birth terms and maturation delay is proposed with biological justification. The effect of nonlinear birth terms coupled with the maturation delay is analysed. It is shown that for certain type of nonlinear birth terms, delay does not affect stability of the positive equilibrium, while for another nonlinear birth term, delay does in an interesting way: stability of the positive equilibrium is lost when delay is increased to some range and can be regained when delay is further increased. Numerical simulations are performed and are found to support the theoretical results.