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| 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. |
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| Keywords:Epidemic model; Traveling waves; Existence; Initial value problem; Asymptotic stability |
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