EFFECTS OF TRAVEL FREQUENCY ON THE PERSISTENCE OF MOSQUITO-BORNE DISEASES

被引:6
作者
Chen, Xianyun [1 ]
Gao, Daozhou [1 ]
机构
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
来源
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2020年 / 25卷 / 12期
基金
中国国家自然科学基金;
关键词
Mosquito-borne disease; travel frequency; patch model; basic reproduction number; global stability; underestimate; ROSS-MACDONALD MODEL; POPULATION-DYNAMICS; MALARIA; MOVEMENT; SPREAD; VIRUS;
D O I
10.3934/dcdsb.2020119
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Travel frequency of people varies widely with occupation, age, gender, ethnicity, income, climate and other factors. Meanwhile, the distribution of the numbers of times people in different regions or with different travel behaviors bitten by mosquitoes may be nonuniform. To reflect these two heterogeneities, we develop a multipatch model to study the impact of travel frequency and human biting rate on the spatial spread of mosquito-borne diseases. The human population in each patch is divided into four classes: susceptible unfrequent, infectious unfrequent, susceptible frequent, and infectious frequent. The basic reproduction number R-0 is defined. It is shown that the disease-free equilibrium is globally asymptotically stable if R-0 <= 1, and there is a unique endemic equilibrium that is globally asymptotically stable if R-0 > 1. A more detailed study is conducted on the single patch model. We use analytical and numerical methods to demonstrate that the model without considering the difference of humans in travel frequency mostly underestimates the risk of infection. Numerical simulations suggest that the greater the difference in travel frequency, the larger the underestimate of the transmission potential. In addition, the basic reproduction number R-0 may decreasingly, or increasingly, or nonmonotonically vary when more people travel frequently.
引用
收藏
页码:4677 / 4701
页数:25
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