Skip to main content
Article thumbnail
Location of Repository

Stability analysis of a discrete ecological model

By Q. Din and E. M. Elsayed


In this paper, we study the qualitative behavior of following discrete-time population model: xn+1=a+bxn+rxn-1exp-y(n),yn-1=g+eyn+hyn-1exp-x(n), where parameters a, b, r, g, e, h and initial conditions x0, x-1, y0, y-1 are positive real numbers. More precisely, we investigate the existence and uniqueness of positive equilibrium point,boundedness character, persistence, local asymptotic stability, global behavior and rate of convergence of unique positive equilibrium point of this model. Some numerical examples are given to verify our theoretical results.\ud \u

Topics: population models, difference equations, steady-states, boundedness, local and global character, Technology (General), T1-995, Science, Q
Publisher: International Academy of Ecology and Environmental Sciences
Year: 2014
OAI identifier:
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • (external link)
  • (external link)
  • (external link)
  • (external link)
  • Suggested articles

    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.