School of Mathematical Science Yangzhou University Yangzhou 225002 P.R.ChinaDepartment of Mathematics Faculty of Education University of Khartoum Khartoum 321 Sudan;
School of Mathematical Science Yangzhou University Yangzhou 225002 P.R.ChinaKey Laboratory of PCBHFASQ Yangzhou University Yangzhou 225002 P.R.China;
Mutualistic model; periodically evolving domain; principal eigenvalue; persistence; asymptotic profile;