In this paper, we propose a time-periodic reaction-diffusion model which incorporates seasonality, spatial heterogeneity and the extrinsic incubation period (EIP) of the parasite. The basic reproduction number [Formula: see text] is derived, and it is shown that the disease-free periodic solution is globally attractive if [Formula: see text], while there is an endemic periodic solution and the disease is uniformly persistent if [Formula: see text]. Numerical simulations indicate that prolonging the EIP may be helpful in the disease control, while spatial heterogeneity of the disease transmission coefficient may increase the disease burden.
All Keywords
【저자키워드】 seasonality, Incubation period, basic reproduction number, Threshold dynamics, Periodic solution, Vector-bias malaria model,
【저자키워드】 seasonality, Incubation period, basic reproduction number, Threshold dynamics, Periodic solution, Vector-bias malaria model,