On the global attractivity of a nonlocal and vector-bias malaria model

Abstract In this paper, for a nonlocal and vector-bias reaction–diffusion malaria model proposed by Xu and Zhao (2012), we prove that the global attractivity of the endemic equilibrium is completely determined by the basic reproduction ratio R 0 , which remarkably improves the known results in Xu and Zhao (2012, Theorem 3.3(iii)) and Lou and Zhao (2011, Theorem 3(iii)).