المستخلص: |
The purpose of this paper is to model multi-species interactions using Volterra – Lotka equations in two dimensions which is a family of first order autonomous ordinary differential equations. The model for a pair of interacting populations of the predator and prey is studied and the stability points have been viewed. Lyapunov function is used to view the stable points. The population dynamics of the resulting systems are analyzed in terms of stability around equilibrium points and within invariant surfaces.
|