Numerical modelling of the impact of the recruitment rates on the stability of two interacting competitive dynamical systems

Abstract

The impact of the changes in the capital recruitment for two dominant competitive interacting political parties on the type of stability has been an  open problem. The method adopted in quantifying this impact is called numerical simulation approach. Full stability is achieved when the value of the initialcapital recruitment values from party S to party T  , τ₁= 0.0236 and the value of the initialcapital recruitment values from party T to party S,  τ₂ =0.0087  while the capital recruitment rates are undergoing some perturbations thatare likely to be affected or influenced by political campaigns and manifestoes. However, this scenario can be altered by loss of full stability when the value of the initial capital recruitment values from party S to T  τ₁ =0.0250 and the initial capital recruitment values from party T to party S,  τ₂ =0.2000 . The result of this novel study is presented and discussed 

Keywords: Stability, degeneracy, dominant political parties, competitive interaction