Global Dynamics of a 3 × 6 System of Difference Equations

Abstract EN

In the proposed work, global dynamics of a 3×6 system of rational difference equations has been studied in the interior of R+3.

It is proved that system has at least one and at most seven boundary equilibria and a unique +ve equilibrium under certain parametric conditions.

By utilizing method of Linearization, local dynamical properties about equilibria have been investigated.

It is shown that every +ve solution of the system is bounded, and equilibrium P0 becomes a globally asymptotically stable if α1<α2,α4<α5, α7<α8.

It is also shown that every +ve solution of the system converges to P0.

Finally theoretical results are verified numerically.