Special Session 24: Geometric methods in spectral theory of traveling waves and patterns

Multi-scale reduction of modified Holling-Tanner model with an Allee effect

Vahagn Manukian
Miami University
USA
Co-Author(s):    
Abstract:
Through multi-scale analysis of a modified Holling-Tanner model with an Allee effect, we show that there is a parameter regime in the system where the dynamics can be captured through the KPP equation. Additionally, we show that within a certain parameter regime, the dynamics can be reduced to the bistable equation. We will show the existence of front solutions within these regimes and discuss their stability.