Most of Economies in the world are affected by many unforeseen problems or pademics. These external forces cause many governments fail to be stable in governing states or countries. This book analyseses how stability can be preserved in these situations. The concepts in this book can be used by Economist, Engineers, Statisticians, Mathematicians. Further it attempts to bring partial solutions for the existing external forces in real life, some sector which can make use of the concepts are Weather Forecasting, Modelling Ecology, modelling Population Dynamics, Physics and Engineering, Economics and Finance, Environmental Science, Medicine and Healthcare, Modelling climate change and can also be used in Applied Engineering studies.
Generally, systems do not start in Equilibrium state. Many systems are affected by external forces. The systems normally Converges to these equilibria over time. This book analysis the behaviour of the system till it gain stability.
Finding out the precise conditions for stailization to occur in a system when external force is applied, and if Stability is preserved then what are the condition? Or if the conditions are not satisfied, what, then is the long – time behaviour of solution?
This Book has emerged as a result of knowing that many systems do not start from equilibram state. There are several External forces which causes instability in the system. The book covers several different angles of External forces which affects the system not to converge, but the system converges over time if the conditions are met. The book specifically analyses the behavour of stochastic Differential Equations (SDE) driven by Brownian Motion.