Sensitivity Analysis and Stabilization for Two Dynamical Systems

Journal Title: Earthline Journal of Mathematical Sciences - Year 2019, Vol 1, Issue 1

Abstract

This paper focuses on the sensitivity analysis for two dominant political parties. In contrast to Misra, Bazuaye and Khan, who developed the model without investigating the impact of varying the initial state of political parties on the solution trajectory of each political parties, we have developed a sound numerical algorithm to analyze the impact of change on the initial data on the behavior of the democratic process which is a rare contribution to knowledge. Two Matlab standard solvers for ordinary differential equations, ode45 and ode23, have been utilized to handle these formidable mathematical problems. Our findings indicate that as the initial data varies, the dynamical system describing the interaction between two political parties is stabilized over a period of eight years. As duration increases, the systems get de-stabilized.

Authors and Affiliations

Frank Etin-Osa Bazuaye

Keywords

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  • EP ID EP463409
  • DOI 10.34198/ejms.1119.3340
  • Views 227
  • Downloads 0

How To Cite

Frank Etin-Osa Bazuaye (2019). Sensitivity Analysis and Stabilization for Two Dynamical Systems. Earthline Journal of Mathematical Sciences, 1(1), 33-40. https://europub.co.uk/articles/-A-463409