This paper deals with the existence of forced waves for an epidemic model of West Nile virus in a shifting environment. Here a forced wave is a traveling wave with wave speed the same as the environmental shifting speed. The forced waves we constructed have the property that the waves tend to the positive endemic state of the epidemic model as the time tends to infinity. The derivation of these forced waves relies on a careful construction of a suitable lower solution with the help of Schauder’s fixed point theorem.
Relation:
Zeitschrift für angewandte Mathematik und Physik 75，頁200
