IJPAM: Volume 52, No. 5 (2009)
WITH DENSITY DEPENDENCE
Department of Mathematics
Abstract.A model for the growth of a population of two age classes (adult and juvenile) in which there is competition for limited resources is considered. We assume the population is homogenous with common birth rate, common death rate and common inhibiting constant. We establish a time-invariant structure under general conditions and discuss the stability of the equilibrium points.
Received: March 25, 2009
AMS Subject Classification: 93D99, 93C10, 93B18, 93A30
Key Words and Phrases: dynamical systems, stability, structured populations, matrix population model
Source: International Journal of Pure and Applied Mathematics