On a finite population variation of the Fisher–KPP equation

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, solution is constructed sign-reversal known classic Fisher equation. also construct approximation corresponding equilibrium problem on interval with Dirichlet Neumann boundary conditions. Two conjectures these problems presented analysed numerically.