TY - JOUR AU - Guo, Zun-Guang AU - Li, Jing AU - Li, Can AU - Liang, Juan AU - Yan, Yiwei PY - 2020 DA - 2020/07/26 TI - Pattern Dynamics of Nonlocal Delay SI Epidemic Model with the Growth of the Susceptible following Logistic Mode SP - 9217387 VL - 2020 AB - In this paper, we investigate pattern dynamics of a nonlocal delay SI epidemic model with the growth of susceptible population following logistic mode. Applying the linear stability theory, the condition that the model generates Turing instability at the endemic steady state is analyzed; then, the exact Turing domain is found in the parameter space. Additionally, numerical results show that the time delay has key effect on the spatial distribution of the infected, that is, time delay induces the system to generate stripe patterns with different spatial structures and affects the average density of the infected. The numerical simulation is consistent with the theoretical results, which provides a reference for disease prevention and control. SN - 1076-2787 UR - https://doi.org/10.1155/2020/9217387 DO - 10.1155/2020/9217387 JF - Complexity PB - Hindawi KW - ER -