In this paper, we formulate a finite population variation of the Fisher-KPP equation using fact that reaction term can be generated from replicator dynamic two-player two-strategy skew-symmetric game. We use prior results Ablowitz and Zeppetella to show resulting system partial differential equations admits travelling wave solution, there are closed form solutions for wave. Interestingly, solut...

The method of additional generating conditions is applied for finding new non-Lie ansätze and exact solutions of nonlinear generalizations of the Fisher equation.

We derive and apply a partial differential equation for the moment generating function of the Wright-Fisher model of population genetics.

This paper challenges the commonly used unit root/cointegration approach for testing the Fisher effect for the economies of the G7 countries. We first prove that nominal interest and inflation rate can be better represented as being broken trend stationary variables. Later, we use the Bai-Perron procedure to show the existence of structural changes in the Fisher equation. When these characteris...

We present a novel synthesis of Fisher information and asset pricing theory that yields a practical method for reconstructing the probability density implicit in security prices. The Fisher information approach to these inverse problems transforms the search for a probability density into the solution of a differential equation for which a substantial collection of numerical methods exist. We i...