一类具有时滞和扩散的传染病模型的单稳波

In this paper, we study the existence and asymptotic stability of traveling waves fronts in the following time-delayed and diffusiveepidemic model[left{ egin{array}{ll} rac partial {partial t}u_1left( x,t ight) =d_1 riangleu_1left(x,t ight) -a_{11}u_1left( x,t ight) +a_{12}u_2left( x,t ight), \ rac partial {partial t}u_2left( x,t ight) =d_2 riangleu_2left( x,t ight) -a_{22}u_2left( x,t ight) +gleft( u_1left(x,t- au ight) ight).end{array} ight]In contrast to the previous study for the case $d_2=0$, here wefocus on the case $d_2>0$, namely, infective human populationdiffuses.