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摘要
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 is derived, and it is shown that the disease-free periodic solution is globally attractive if , while there is an endemic periodic solution and the disease is uniformly persistent if . 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.
- 出版日期2018-7
- 单位西安电子科技大学
