The uniform spreading speed in cooperative systems with non-uniform initial data

This paper considers the spreading speed of cooperative nonlocal dispersal systems with irreducible reaction functions and non-uniform initial data. Here non-uniformity means that all components data decay exponentially but their rates are different. It is well-known in a monostable reaction-diffusion or equation, different yield speeds. In this paper, we show due to cooperation irreducibility functions, solution will possess uniform which decreasingly depends only on smallest rate The decreasing property further implies component can accelerate spatial propagation other components.