{'fraction_non_alphanumeric': 0.018072289156626505, 'fraction_numerical': 0.0017211703958691911, 'mean_word_length': 5.286486486486487, 'pattern_counts': {'":': 0, '<': 1, '<?xml version=': 0, '>': 1, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
SIR Infectious Disease Model Based on Age Structure and Constant Migration Rate and its Dynamics Properties

Infectious diseases are extremely harmful to human health. To probe into the epidemic spreading law of infectious disease and provide effective strategies for disease prevention, this paper has built the model based on age structure and constant migration rate. Meanwhile, a dynamic analysis was conducted on the model. As shown from the results, if the basic reproduction number R < 1, the disease-free balance point presented partially/overall stable status by degrees, and the epidemic gradually disappeared; if the number of basic reproduction R > 1, the balance point of endemic disease tended to be partially stable and the epidemic continued to be prevalent. Furthermore, the theoretical analysis was verified by the subsequent numerical simulation results. This shows that two balance points of the built SIR infectious disease model based on age structure and constant migration rate are closely correlated with R value. Therefore, by adjusting the relevant parameters, the model can effectively control the spreading of SIR infectious disease.