Extinction in a Feline Panleukopenia virus model incorporating direct and indirect transmissions

•A spatial FPLV model incorporating direct and indirect transmissions is studied.•A basic reproduction number R0R0 is obtained.•If R0<1R0<1, the disease-free equilibrium is locally stable, while R0>1R0>1, it is unstable.•Numerical simulations show the impact of the heterogeneity on the disease dynamics.

In this paper, we investigate the disease dynamics of a reaction–diffusion Feline Panleukopenia virus model incorporating direct and indirect transmissions as well as spatially environmental heterogeneity. We derive a basic reproduction number and show that the disease-free equilibrium will be locally stable if the basic reproduction number is below one, which means that the disease will be extinct. Furthermore, we perform some numerical simulations to explore the impact of the heterogeneous environment on the disease dynamics.