Abstract: Focusing on the effect of global climate change on species persistence,we consider a cooperative  Lotka-Volterra system with intrinsic growth rate,which depends on climate change.By constructing the appropriate upper and lower solutions,and combining the method of monotone iteration,we prove that when  two species are weakly cooperative,there exist a pair of monotone traveling wave solutions in the reaction-diffusion system. 

Key words: Cooperative, Lotka-Volterra system, Upper and lower solutions, Monotone iteration